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Metal Insulator Transition In Two Dimensional Electron Systems
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Book Synopsis Metal-Insulator Transition in Two-Dimensional Electron Systems by : Svetlana Anisimova
Download or read book Metal-Insulator Transition in Two-Dimensional Electron Systems written by Svetlana Anisimova and published by LAP Lambert Academic Publishing. This book was released on 2010-06 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interplay between strong electron-electron interactions and disorder has been a long-standing question in condensed matter physics. The discovery of the metal-insulator transition (MIT) in two-dimensional (2D) electron systems challenged one of the most influential theories of the last century which stated that "there is no true metallic state in 2D". However, the scaling theory of localization did not account for interactions between electrons. This book provides recent thermodynamic and transport experimental findings which indicate that MIT in 2D can be considered as a quantum phase transition. In the ballistic regime, strong interactions between carriers lead to Pauli spin susceptibility growing critically at low electron densities. Such behavior is characteristic in the close vicinity of a phase transition. In the immediate vicinity of the MIT, both the resistance and the effective interactions exhibit a fan-like spread as the MIT is crossed. A resistance-interaction flow diagram clearly reveals a quantum critical point. The book should be especially useful to graduate students, postdoctoral researches, or scientists working in the field of mesoscopic physics.
Book Synopsis Conductance Fluctuation and Metal-insulator Transition in a Two-dimensional Electron System by : Kuo-Ping Li
Download or read book Conductance Fluctuation and Metal-insulator Transition in a Two-dimensional Electron System written by Kuo-Ping Li and published by . This book was released on 1999 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Conductor Insulator Quantum Phase Transitions by : Vladimir Dobrosavljevic
Download or read book Conductor Insulator Quantum Phase Transitions written by Vladimir Dobrosavljevic and published by Oxford University Press. This book was released on 2012-06 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: When many particles come together how do they organize themselves? And what destroys this organization? Combining experiments and theory, this book describes intriguing quantum phases - metals, superconductors and insulators - and transitions between them. It captures the excitement and the controversies on topics at the forefront of research.
Book Synopsis Quantum Critical Regimes Around the Metal-Insulator Transition by : Yuting Tan
Download or read book Quantum Critical Regimes Around the Metal-Insulator Transition written by Yuting Tan and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metal-insulator transitions (MITs) remain one of the unresolved science problems of condensed-matter physics, which are rather general and of fundamental importance. In the vicinity of the MITs, the behavior is found to be unconventional and exotic. This complexity makes it difficult to recognize the dominant degrees of freedom, resulting in a plethora of theoretical viewpoints based on very different ideas. First we study the transport behavior and the dielectric response near Mott Metal-Insulator transition (MIT) using the Iterative Perturbation Theory (IPT), which is exact at the atomic limit at half-filling, for the single-band Hubbard model supplemented by percolation theory. We successfully interpret the experimental observation of a colossal peak of the dielectric function near the Mott MIT in organic material $\\\\kappa\\\\text{-(BEDT-TTF)}_2\\\\text{Cu}_2\\\\text{(CN)}_3$. Our results suggest the diverging feature of dielectric response comes from percolation effects near a first-order MIT, where metallic and insulator domains present simultaneously as long as the materials have defects or impurities. Our findings suggest a similar 'dielectric catastrophe' in many other correlated materials and can explain previous observations that were assigned to multiferroicity or ferroelectricity. Second we summarize both experimental and theoretical observations of the criticality around the Mott transition, in three types of systems: 2-dimensional electron gas (2DEG) in Si-MOSFE, Mott organic material ($\\\\kappa\\\\text{-(BEDT-TTF)}_2\\\\text{Cu}_2\\\\text{(CN)}_3$), and transition metal dichalcogenide (TMD) moire bilayer $\\\\text{MoTe}_2/\\\\text{WSe}_2$. Particularly, we find robust resistivity maxima are clearly seen in all these materials. We then use dynamical mean field theory (DMFT) and 'hybrid' DMFT correspondingly to show that dielectric response can be used to identify the origin of these resistivity maxima. We find that near the MIT, it corresponds to the percolation effect within the (spatially inhomogeneous) metal-insulator phase coexistence region, where a colossal enhancement of the dielectric response has been found. Deep in the metallic phase, it signals the thermal destruction of coherent quasiparticles due to strong correlation effects, and a dramatic drop and a change of sign in the dielectric constant would be found. Third we study the disorder dominated MIT in TMD moiré bilayer. In this material, a long-range geometric moiré pattern emerges when two atomically thin materials are misaligned or have a lattice mismatch. This drastically reduces the electronic kinetic energy, paving the way for new strongly correlated phases. We proposed a minimal theoretical model describing the interplay of interactions and disorder, which is solved at DMFT + coherent potential approximation (CPA) level. The results capture most experimental trends at almost a perfect level. We investigate the quantum criticality near MIT with a fully occupied flat band (f=2), which is found to be in a disorder-dominated regime. Finally, we consider long-range Coulomb interaction in low band filling cases, where one expects Wigner crystallization to occur. To investigate the nontrivial electronic phases appearing away from commensurate fillings, we first used the spinless Hartree method to calculate the total free energy, and then we used DMFT and Kubo formula to obtain the transport behavior. We find that, for most fillings, an amorphous charge-ordered metallic state - the electron slush - appears in strongly correlated TMD hetero-bilayers. Our results suggest performing transport and Scanning Tunneling Microscopy (STM) experiments on TMD hetero-bilayers to study the interplay between doping a Wigner-Mott insulator and amorphous charge order.
Book Synopsis Theory of Metal Insulator Transition in Strongly Correlated Electron Systems by :
Download or read book Theory of Metal Insulator Transition in Strongly Correlated Electron Systems written by and published by . This book was released on 1994 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive theory of the correlation driven metal insulator transition in 1D and 2D strongly correlated electron systems is given. In both the 1D and 2D Hubbard model the metal insulator transition encountered close to half filling is of Pokrovsky-Talapov type. An important consequence of this in the 2D Hubbard model is the break down of the Fermi liquid theory. We also describe in detail the properties of the Pokrovsky-Talapov transition in 2D ferroelectrics.
Book Synopsis Strongly Correlated Electrons in Two Dimensions by : Sergey Kravchenko
Download or read book Strongly Correlated Electrons in Two Dimensions written by Sergey Kravchenko and published by CRC Press. This book was released on 2017-05-25 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The properties of strongly correlated electrons confined in two dimensions are a forefront area of modern condensed matter physics. In the past two or three decades, strongly correlated electron systems have garnered a great deal of scientific interest due to their unique and often unpredictable behavior. Two of many examples are the metallic state and the metal–insulator transition discovered in 2D semiconductors: phenomena that cannot occur in noninteracting systems. Tremendous efforts have been made, in both theory and experiment, to create an adequate understanding of the situation; however, a consensus has still not been reached. Strongly Correlated Electrons in Two Dimensions compiles and details cutting-edge research in experimental and theoretical physics of strongly correlated electron systems by leading scientists in the field. The book covers recent theoretical work exploring the quantum criticality of Mott and Wigner–Mott transitions, experiments on the metal–insulator transition and related phenomena in clean and dilute systems, the effect of spin and isospin degrees of freedom on low-temperature transport in two dimensions, electron transport near the 2D Mott transition, experimentally observed temperature and magnetic field dependencies of resistivity in silicon-based systems with different levels of disorder, and microscopic theory of the interacting electrons in two dimensions. Edited by Sergey Kravchenko, a prominent experimentalist, this book will appeal to advanced graduate-level students and researchers specializing in condensed matter physics, nanophysics, and low-temperature physics, especially those involved in the science of strong correlations, 2D semiconductors, and conductor–insulator transitions.
Book Synopsis Metal-Insulator Transitions by : Nevill Mott
Download or read book Metal-Insulator Transitions written by Nevill Mott and published by CRC Press. This book was released on 2004-01-14 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a second edition of a classic book. Written by the late, great Sir Nevill Mott (Britain's last Nobel Prize winner for Physics), Metal Insulator Transitions has been greatly updated and expanded to further enhance its already enviable reputation.
Book Synopsis The Mott Metal-Insulator Transition by : Florian Gebhard
Download or read book The Mott Metal-Insulator Transition written by Florian Gebhard and published by Springer Science & Business Media. This book was released on 1997-03-20 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Little do we reliably know about the Mott transition, and we are far from a complete understanding of the metal --insulator transition due to electr- electron interactions. Mott summarized his basic ideas on the subject in his wonderful book Metal--Insulator nansitions that first appeared in 1974 11. 1). In his view, a Motk insulator displays a gap for charge-carrying excitations due to electron cowelations, whose importance is expressed by the presence of local magnetic moments regardless of whether or not they are ordered. Since the subject is far from being settled, different opinions on specific aspects of the Mott transition still persist. This book naturally embodies my own understanding of the phenomenon, inspired by the work of the late Sir Kevill Mott. The purpose of this book is twofold: first, to give a detailed presen- tion of the basic theoretical concopts for Mott insulators and, second, to test these ideas against the results from model calculations. For this purpose the Hubbard model and some of its derivatives are best suited. The Hubbard model describes a Mott transition with a mere minimum of tunable par- eters, and various exact statements and even exact solutions exist in certain limiting cases. Exact solutions not only allow us to test our basic ideas, but also help to assess the quality of approxin~ate theories for correlated electron systems.
Book Synopsis The Mott Metal-Insulator Transition by : Florian Gebhard
Download or read book The Mott Metal-Insulator Transition written by Florian Gebhard and published by Springer Tracts in Modern Physics. This book was released on 1997-03-20 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The metal-insulator transition due to electron-electron interactions is one of the most celebrated but least understood problems in condensed matter physics. Here this subject is comprehensively reviewed for the first time since Sir Nevill Mott's monograph of 1990. A pedagogical introduction to the basic concepts for the Mott transition, the Hubbard model, and various analytical approaches to correlated electron systems is presented. A new classification scheme for Mott insulators as Mott-Hubbard and Mott-Heisenberg insulators is proposed. Traditional methods are critically examined for their potential to describe the Mott transition. This book will make an excellent reference for scientists researching in the field of electron transport in condensed matter.
Book Synopsis Localization and Metal-Insulator Transitions by : Hellmut Fritzche
Download or read book Localization and Metal-Insulator Transitions written by Hellmut Fritzche and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume and its two companion volumes, entitled Tetrahedrally-Bonded Amorphous Semiconductors and Physics of Disordered Materials, are our way of paying special tribute to Sir Nevill Mott and to express our heartfelt wishes to him on the occasion of his eightieth birthday. Sir Nevill has set the highest standards as a physicist, teacher, and scientific leader. Our feelings for him include not only the respect and admiration due a great scientist, but also a deep affection for a great human being, who possesses a rare combination of outstanding personal qualities. We thank him for enriching our lives, and we shall forever carry cherished memories of this noble man. Scientists best express their thanks by contributing their thoughts and observations to a Festschrift. This one honoring Sir Nevill fills three volumes, with literally hundreds of authors meeting a strict deadline. The fact that contributions poured in from all parts of the world attests to the international cohesion of our scientific community. It is a tribute to Sir Nevill's stand for peace and understanding, transcending national borders. The editors wish to express their gratitude to Ghazaleh Koefod for her diligence and expertise in deciphering and typing many of the papers, as well as helping in numerous other ways. The blame for the errors that remain belongs to the editors.
Book Synopsis Metallic Behaviour and the Metal-insulator Transition in Two-dimensional Systems by : Alexandre Lewalle
Download or read book Metallic Behaviour and the Metal-insulator Transition in Two-dimensional Systems written by Alexandre Lewalle and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectroscopy of Mott Insulators and Correlated Metals by : Atsushi Fujimori
Download or read book Spectroscopy of Mott Insulators and Correlated Metals written by Atsushi Fujimori and published by Springer Science & Business Media. This book was released on 1995 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: I Theory of Mott Transition and Correlated Metals.- Classification Scheme of the Metal-Insulator Transition and Anomalous Metals.- The Mott Transition: Results from Mean-Field Theory.- Some Aspects of Spin Gap in One- and Two-Dimensional Systems.- Quasi-Particles in Two-Dimensional Hubbard Model: Splitting of Spectral Weight.- Almost Localized Fermions and Mott-Hubbard Transitions at Non-Zero Temperature.- Anomalous Physical Properties Around Magnetic and Metal-Insulator Transitions - A Spin-Fluctuation Theory.- Exact Diagonalization Study of Strongly Correlated Electron Models: Hole Pockets and Shadow Bands in the Doped t - J Model.- II Electronic Structure.- Electronic Band Structures of LaMO3 (M = Ti, V, Cr, ..., Ni, Cu) in the Local Spin-Density Approximation.- First-Principles Calculations of the Electronic Structure and Spectra of Strongly Correlated Systems: LDA + U Method.- Unrestricted Hartree-Fock Study of Perovskite-iype Transition-Metal Oxides.- Electronic Structure of Transition Metal Compounds.- Core-Level Spectroscopy in Early-Transition-Metal Compounds.- Systematics of Optical Gaps in Perovskite-iype 3d Transition Metal Oxides.- III Charge Transport and Excitations.- Optical Spectroscopy on the Mott Transition in Perovskiteiype Titanates.- Spectral Weight Transfer and Mass Renormalization in Correlated d-Electron Systems.- Charge Transport Properties of Strongly Correlated Metals near Charge Transfer Insulator to Metal Transition.- Infrared Studies of Kondo Insulator and Related Compounds.- IV Magnetic Response.- Magnetic Correlations in Doped Transition-Metal Oxides.- Spin and Charge Differentiation in Doped CuO2 Planes Observed by Cu NMR/NQR Spectra.- Orbital-Spin Coupling in V2O3 and Related Oxides.- Magnetic and Transport Properties of the Kondo Lattice Model with Ferromagnetic Exchange Coupling.- V New Materials.- Superconductivity, Magnetism and Metal-Insulator Transitions in Some Ternary and Pseudoternary 3d-, 4d-, and 5d-Metal Oxides.- NMR Studies of Superconductivity and Metal-Insulator Transition in Cu Spinel CuM2X4 (M = Rh, Ir and X = S, Se).- Index of Contributors.
Book Synopsis Localisation and Interaction by : D.M. Finlayson
Download or read book Localisation and Interaction written by D.M. Finlayson and published by CRC Press. This book was released on 1986-01-01 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Localisation and Interaction covers the scaling theory of localization metal-insulator transitions, two-dimensional systems, interaction effects in impure metals, weak localization, critical point measurement, quantum wells, integer quantum Hall effects, magnetic field induced transitions, static and dynamic magnetic probes, band gap narrowing, and an experiment with the quantum Hall effects.
Book Synopsis 50 Years of Anderson Localization by : Elihu Abrahams
Download or read book 50 Years of Anderson Localization written by Elihu Abrahams and published by World Scientific. This book was released on 2010 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume celebrates the five decades of the impact of Anderson localization on modern physics. In addition to the historical perspective on its origin, it provides a comprehensive description of the experimental and theoretical aspects of Anderson localization.
Book Synopsis FUNDAMENTALS OF PHYSICS - Volume II by : José L. Mora-Lopez
Download or read book FUNDAMENTALS OF PHYSICS - Volume II written by José L. Mora-Lopez and published by EOLSS Publications. This book was released on 2009-11-10 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Physics is a component of Encyclopedia of Physical Sciences, Engineering and Technology Resources in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty Encyclopedias. The Theme on Fundamentals of Physics provides an overview of the modern areas in physics, most of which had been crystallized in the 20th century, is given. The Theme on Fundamentals of Physics deals, in three volumes and cover several topics, with a myriad of issues of great relevance to our world such as: Historical Review of Elementary Concepts in Physics; Laws of Physical Systems; Particles and Fields; Quantum Systems; Order and Disorder in Nature; Topical Review: Nuclear Processes, which are then expanded into multiple subtopics, each as a chapter. These three volumes are aimed at the following five major target audiences: University and College Students, Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers, NGOs and GOs.
Book Synopsis Spectral Approach to Transport Problems in Two-Dimensional Disordered Lattices by : Evdokiya Georgieva Kostadinova
Download or read book Spectral Approach to Transport Problems in Two-Dimensional Disordered Lattices written by Evdokiya Georgieva Kostadinova and published by Springer. This book was released on 2018-12-11 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the spectral approach to transport problems in infinite disordered systems characterized by Anderson-type Hamiltonians. The spectral approach determines (with probability one) the existence of extended states for nonzero disorder in infinite lattices of any dimension and geometry. Here, the author focuses on the critical 2D case, where previous numerical and experimental results have shown disagreement with theory. Not being based on scaling theory, the proposed method avoids issues related to boundary conditions and provides an alternative approach to transport problems where interaction with various types of disorder is considered. Beginning with a general overview of Anderson-type transport problems and their relevance to physical systems, it goes on to discuss in more detail the most relevant theoretical, numerical, and experimental developments in this field of research. The mathematical formulation of the innovative spectral approach is introduced together with a physical interpretation and discussion of its applicability to physical systems, followed by a numerical study of delocalization in the 2D disordered honeycomb, triangular, and square lattices. Transport in the 2D honeycomb lattice with substitutional disorder is investigated employing a spectral analysis of the quantum percolation problem. Next, the applicability of the method is extended to the classical regime, with an examination of diffusion of lattice waves in 2D disordered complex plasma crystals, along with discussion of proposed future developments in the study of complex transport problems using spectral theory.
Book Synopsis Electronic Quantum Transport in Mesoscopic Semiconductor Structures by : Thomas Ihn
Download or read book Electronic Quantum Transport in Mesoscopic Semiconductor Structures written by Thomas Ihn and published by Springer. This book was released on 2004-09-09 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Opening with a brief historical account of electron transport from Ohm's law through transport in semiconductor nanostructures, this book discusses topics related to electronic quantum transport. The book is written for graduate students and researchers in the field of mesoscopic semiconductors or in semiconductor nanostructures. Highlights include review of the cryogenic scanning probe techniques applied to semiconductor nanostructures.
