Static and Dynamic Properties of Low Dimensional Quantum Spin Systems

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ISBN 13 : 9783869554198
Total Pages : 161 pages
Book Rating : 4.5/5 (541 download)

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Book Synopsis Static and Dynamic Properties of Low Dimensional Quantum Spin Systems by : Simon Nils Grossjohann

Download or read book Static and Dynamic Properties of Low Dimensional Quantum Spin Systems written by Simon Nils Grossjohann and published by . This book was released on 2010 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Transport Properties of Low-dimensional Quantum Spin Systems

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ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.:/5 (181 download)

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Book Synopsis Transport Properties of Low-dimensional Quantum Spin Systems by : Fabian Heidrich-Meisner

Download or read book Transport Properties of Low-dimensional Quantum Spin Systems written by Fabian Heidrich-Meisner and published by . This book was released on 2005 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field

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Publisher : Springer Science & Business Media
ISBN 13 : 3642338089
Total Pages : 104 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field by : Pierre Bouillot

Download or read book Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field written by Pierre Bouillot and published by Springer Science & Business Media. This book was released on 2012-12-14 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis shows how a combination of analytic and numerical techniques, such as a time dependent and finite temperature Density Matrix Renormalization Group (DMRG) technique, can be used to obtain the physical properties of low dimensional quantum magnets with an unprecedented level of accuracy. A comparison between the theory and experiment then enables these systems to be used as quantum simulators; for example, to test various generic properties of low dimensional systems such as Luttinger liquid physics, the paradigm of one dimensional interacting quantum systems. Application of these techniques to a material made of weakly coupled ladders (BPCB) allowed the first quantitative test of Luttinger liquids. In addition, other physical quantities (magnetization, specific heat etc.), and more remarkably the spins-spin correlations – directly measurable in neutron scattering experiments – were in excellent agreement with the observed quantities. We thus now have tools to quantitatiively assess the dynamics for this class of quantum systems.

Transport and Dynamics of Low-dimensional Quantum Spin Systems

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (91 download)

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Book Synopsis Transport and Dynamics of Low-dimensional Quantum Spin Systems by : Yousef Rahnavard

Download or read book Transport and Dynamics of Low-dimensional Quantum Spin Systems written by Yousef Rahnavard and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

NMR-MRI, μSR and Mössbauer Spectroscopies in Molecular Magnets

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Publisher : Springer Science & Business Media
ISBN 13 : 8847005329
Total Pages : 294 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis NMR-MRI, μSR and Mössbauer Spectroscopies in Molecular Magnets by : Pietro Carretta

Download or read book NMR-MRI, μSR and Mössbauer Spectroscopies in Molecular Magnets written by Pietro Carretta and published by Springer Science & Business Media. This book was released on 2007-12-15 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book an extensive overview on the results obtained during the last decade and on recent achievements in the study of molecular magnets by means of Nuclear Magnetic Resonance, Muon Spin Rotation, Magnetic Resonance Imaging and Mossbauer techniques is presented. The aim is to introduce the reader to these techniques and to give a general background on their application to molecular spin systems.

Organic and Inorganic Low-Dimensional Crystalline Materials

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Publisher : Springer Science & Business Media
ISBN 13 : 1489920919
Total Pages : 488 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Organic and Inorganic Low-Dimensional Crystalline Materials by : Pierre Delhaes

Download or read book Organic and Inorganic Low-Dimensional Crystalline Materials written by Pierre Delhaes and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: The research of unitary concepts in solid state and molecular chemistry is of current interest for both chemist and physicist communities. It is clear that due to their relative simplicity, low dimensional materials have attracted most of the attention. Thus, many non-trivial problems were solved in chain systems, giving some insight into the behavior of real systems which would otherwise be untractable. The NATO Advanced Research Workshop on "Organic and Inorganic Low-Dimensional Crystalline Materials" was organized to review the most striking electronic properties exhibited by organic and inorganic sytems whose space dimensionality ranges from zero (Od) to one (1d), and to discuss related scientific and technological potentials. The initial objectives of this Workshop were, respectively: i) To research unitary concepts in solid state physics, in particular for one dimensional compounds, ii) To reinforce, through a close coupling between theory and experiment, the interplay between organic and inorganic chemistry, on the one hand, and solid state physics on the other, iii) To get a salient understanding of new low-dimensional materials showing "exotic" physical properties, in conjunction with structural features.

Novel NMR and EPR Techniques

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Publisher : Springer
ISBN 13 : 3540326278
Total Pages : 447 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Novel NMR and EPR Techniques by : J. Dolinsek

Download or read book Novel NMR and EPR Techniques written by J. Dolinsek and published by Springer. This book was released on 2006-09-11 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of recent research in the fields of condensed matter physics and chemistry based on novel NMR and ESR techniques. Applications include quantum computing, metal nanoparticles, low dimensional magnets, fullerenes as atomic cages, superconductors, porous media, and laser assisted studies. The book is dedicated to Professor Robert Blinc, on the occasion of his seventieth birthday, in appreciation of his remarkable scientific accomplishments in the NMR of condensed matter.

Electron Spin Resonance and Related Phenomena in Low-Dimensional Structures

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Publisher : Springer Science & Business Media
ISBN 13 : 3540793658
Total Pages : 272 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Electron Spin Resonance and Related Phenomena in Low-Dimensional Structures by : Marco Fanciulli

Download or read book Electron Spin Resonance and Related Phenomena in Low-Dimensional Structures written by Marco Fanciulli and published by Springer Science & Business Media. This book was released on 2009-08-24 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a discussion of the state of the art of spin resonance in low dimensional structures, such as two-dimensional electron systems, quantum wires, and quantum dots. Leading scientists report on recent advances and discuss open issues and perspectives.

Science

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ISBN 13 :
Total Pages : 422 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Science by : National Center for Supercomputing Applications

Download or read book Science written by National Center for Supercomputing Applications and published by . This book was released on 1988 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Magnetic Properties of Low Dimensional Spin Systems

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ISBN 13 :
Total Pages : 123 pages
Book Rating : 4.:/5 (162 download)

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Book Synopsis Magnetic Properties of Low Dimensional Spin Systems by : Verena Sabine Kargl

Download or read book Magnetic Properties of Low Dimensional Spin Systems written by Verena Sabine Kargl and published by . This book was released on 2006 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems

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Publisher : Springer
ISBN 13 : 3319641913
Total Pages : 229 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems by : Laurens Vanderstraeten

Download or read book Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems written by Laurens Vanderstraeten and published by Springer. This book was released on 2017-08-10 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis develops new techniques for simulating the low-energy behaviour of quantum spin systems in one and two dimensions. Combining these developments, it subsequently uses the formalism of tensor network states to derive an effective particle description for one- and two-dimensional spin systems that exhibit strong quantum correlations. These techniques arise from the combination of two themes in many-particle physics: (i) the concept of quasiparticles as the effective low-energy degrees of freedom in a condensed-matter system, and (ii) entanglement as the characteristic feature for describing quantum phases of matter. Whereas the former gave rise to the use of effective field theories for understanding many-particle systems, the latter led to the development of tensor network states as a description of the entanglement distribution in quantum low-energy states.

Low-Dimensional Systems: Theory, Preparation, and Some Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 940100143X
Total Pages : 329 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Low-Dimensional Systems: Theory, Preparation, and Some Applications by : Luis M. Liz-Marzán

Download or read book Low-Dimensional Systems: Theory, Preparation, and Some Applications written by Luis M. Liz-Marzán and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers presented at the NATO Advanced Research Workshop (ARW) Dynamic Interactions in Quantum Dot Systems held at Hotel Atrium in Puszczykowo, near Poznan, Poland, May 16-19,2002. The term low-dimensional systems, which is used in the title of this volume, refers to those systems which contain at least one dimension that is intermediate between those characteristic ofatoms/molecules and those ofthe bulk material. Depending on how many dimensions lay within this range, we generally speak of quantum wells, quantum wires, and quantum dots. As such an intermediate state, some properties of low-dimensional systems are very different to those of their molecular and bulk counterparts. These properties generally include optical, electronic, and magnetic properties, and all these are partially covered in this book. The main goal of the workshop was to discuss the actual state of the art in the broad area ofnanotechnology. The initial focus was on the innovative synthesis of nanomaterials and their properties such as: quantum size effects, superparamagnetism, or field emission. These topics lead us into the various field based interactions including plasmon- magnetic spin- and exciton coupling. The newer, more sophisticated methods for characterization of nanomaterials were discussed, as well as the methods for possible industrial applications. In general, chemists and physicists, as well as experts on both theory and experiments on nanosized regime structures were brought together, to discuss the general phenomena underlying their fields ofinterest from different points ofview.

Spin Waves and Magnetic Excitations

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Publisher : Elsevier
ISBN 13 : 044459826X
Total Pages : 512 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Spin Waves and Magnetic Excitations by :

Download or read book Spin Waves and Magnetic Excitations written by and published by Elsevier. This book was released on 2012-12-02 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Problems in Condensed Matter Sciences, Volume 22.2: Spin Waves and Magnetic Excitations focuses on the processes, methodologies, reactions, principles, and approaches involved in spin waves and magnetic excitations, including magnetic systems, fluctuations, resonance, and spin dynamics. The selection first elaborates on spin-wave resonance in metals, excitations in low-dimensional magnetic systems, and the theory of magnetic excitations in disordered systems. Topics include spin waves in ferromagnets with weak fluctuations of the exchange interaction; dynamics of propagating excitations; models of two-dimensional magnetic systems; spin-wave resonance in bulk metals; and standing spin-wave resonance in thin films. The manuscript then ponders on spin dynamics of amorphous magnets and magnetic excitations in spin glasses, including dynamics in reentrant spin glasses, dynamics of classical spin glasses, spin dynamical theory, spin dynamics of locally isotropic materials, and effects of dilution. The book takes a look at nuclear spin and magnetoelastic excitations and magnetic impuritons in antiferromagnetic dielectric crystals. Discussions focus on coherent and incoherent impurity excitations, equations of motion and the energy of a magnetoelastic medium, magnetoelastic excitations near magnetic orientational phase transitions, and the effect of frequency pulling on the behavior of nuclear spin echo signals. The selection is a vital source of data for researchers interested in spin waves and magnetic excitations.

Phonon Physics The Cutting Edge

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Publisher : Elsevier
ISBN 13 : 0080538789
Total Pages : 543 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Phonon Physics The Cutting Edge by :

Download or read book Phonon Physics The Cutting Edge written by and published by Elsevier. This book was released on 1995-12-13 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first two volumes in this series published twenty years ago contained chapters devoted to anharmonic properties of solids, ab initio calculations of phonons in metals and insulators, and surface phonons. In the intervening years each of these important areas of lattice dynamics has undergone significant developments. This volume is therefore concerned with reviewing the current status of these areas. Chapter one deals with the path-integral quantum Monte-Carlo method as a numerical simulation approach and looks at how this has been applied successfully to the determination of low temperature thermodynamic properties of anharmonic crystals and to certain dynamical properties as well. Chapter two is concerned with the calculation of static and dynamic properties of anharmonic crystals in the quantum regime. Chapter three discusses intrinsic anharmonic localized modes that have been intensively studied recently. Two topics, ab initio calculations of phonons in metals, and surface phonons are dealt with in the next chapter. The remaining two chapters are devoted to topics that have not been treated in previous volumes. One is phonon transport and the second is phonons in disordered crystals. The work described in the six chapters of this volume testifies to the continuing vitality of the field of dynamical properties of solids nearly a century after its founding.

Interplay of Quantum and Statistical Fluctuations in Critical Quantum Matter

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Publisher : Springer
ISBN 13 : 3319975323
Total Pages : 175 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Interplay of Quantum and Statistical Fluctuations in Critical Quantum Matter by : Harley Scammell

Download or read book Interplay of Quantum and Statistical Fluctuations in Critical Quantum Matter written by Harley Scammell and published by Springer. This book was released on 2018-08-28 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores critical phenomena in highly correlated quantum matter. Specifically, quantum antiferromagnets, magnon Bose condensates, and systems exhibiting deconfined quantum criticality are considered. The book’s main achievement is the incorporation of both quantum and statistical fluctuations into a quantum field theoretic treatment of critical phenomena. This yields significant new insights into an abundance of problems, positions them in a much more general context, and offers an unprecedented power to analyze experimental and numerical data and predict new effects. Further, a major result and overarching theme is the exploration of the scale-dependent coupling constant – an effect known in quantum chromodynamics as “asymptotic freedom.” The book provides the first analysis to reveal asymptotic freedom in the quantum magnetism context, and discusses many other manifestations. Another significant result concerns the development of a consistent theoretical framework that resolves a long-standing inconsistency in the theory of Bose condensation. Using the approach developed here, two new universality classes are subsequently identified. A final major result addresses the exotic scenario of deconfined quantum criticality. Within this framework, the book predicts the Bose condensation of particles with half-integer spin – the first- ever made in this regard. In closing, a smoking gun criterion to test for this exotic condensate is established.

Static and Dynamic Properties of a Dimerized Quantum-spin Chain

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (62 download)

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Book Synopsis Static and Dynamic Properties of a Dimerized Quantum-spin Chain by : Oliver Fritz

Download or read book Static and Dynamic Properties of a Dimerized Quantum-spin Chain written by Oliver Fritz and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spectral Properties of Multi-dimensional Quantum Spin Systems

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ISBN 13 : 9781369311044
Total Pages : pages
Book Rating : 4.3/5 (11 download)

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Book Synopsis Spectral Properties of Multi-dimensional Quantum Spin Systems by : Amanda M Young

Download or read book Spectral Properties of Multi-dimensional Quantum Spin Systems written by Amanda M Young and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this dissertation, we analyze spectral properties of frustration-free quantum spin systems, with an emphasis on multi-dimensional models. The focus of this analysis is two-fold. First, we determine the existence or non-existence of a spectral gap above the ground state for a class of multi-dimensional quantum spin systems. Second, we determine a set of criteria for which the spectral gap above the ground state energy of a frustration-free quantum spin system is stable in the presence of local perturbations. We begin by providing the mathematical formulation of quantum spin systems, including a discussion of the thermodynamic limit. We formalize the construction of infinite volume systems when we introduce Lieb-Robinson bounds. When these bounds hold, the dynamics of the finite volume quantum spin systems extend to the thermodynamic limit, and a well-defined infinite volume Hamiltonian, known as the GNS Hamiltonian, is guaranteed to exist. Determining if a quantum spin system is gapped or gapless is a question of the spectrum of the GNS Hamiltonian. It is gapped if there is an interval above the ground state energy that does not contain any points of the spectrum. Otherwise, it is gapless. We show that to prove a gap for the GNS Hamiltonian of a frustration-free system, it suffices to obtain a uniform lower bound for the spectral gap in a sequence of finite volumes. To obtain these results we apply the martingale method, which was first introduced for frustration-free quantum spin systems with open boundary conditions by Nachtergaele in 1996 [48]. We extend this method to hold for periodic boundary conditions, and apply it to the class of pure finitely correlated state models with periodic boundary conditions.We then study the the one-species, multi-dimensional PVBS models and determine the exact collection of model parameters for which the models are gapped in the thermodynamic limit. The PVBS models are a class of particle hopping models where the model parameters dictate the direction a particle prefers to move. We consider these models on two types of infinite volumes. First, we take the thermodynamic limit of the PVBS model to the d-dimensional integer lattice. Second, we consider the PVBS model on a half space of the integer lattice where the boundary is defined by a hyperplane. We find two types of closures of the spectral gap. First, there is a bulk closure due to a critical change in the set of model parameters. The second type of closure is only found in the case of the hyperplane boundary, and is due to the creation of edge states across the boundary. This is inherently different from the bulk closure, as away from the boundary the model still behaves like a gapped system. We then transition to considering the stability of gapped ground state phases. Stability results establish that if a system is gapped, it will remain gapped under the addition of small perturbations. The two main technical tools we use to prove such a result are Lieb-Robinson bounds and the spectral flow. Common to both tools is that they express locality properties for observables under a global evolution. We generalize this notion by introducing the theory of quasi-local maps. We apply our theory to prove the stability result from [47], which holds for both one-dimensional andmulti-dimensional quantum spin systems. The result from [47], which we extend to hold for a larger class of models and boundary conditions, states that a uniformly gapped family of frustration-free Hamiltonians with topologically ordered ground states will remain gapped in the presence of an exponentially decaying perturbation. We conclude with applying the stability result the finitely correlated state models with periodic boundary conditions.