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Quantum Transport And Monte Carlo Techniques
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Book Synopsis Quantum Transport and Monte Carlo Techniques by : Carlo Jacoboni
Download or read book Quantum Transport and Monte Carlo Techniques written by Carlo Jacoboni and published by . This book was released on 1986 with total page 3 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: QUANTUM TRANSPORT AND MONTE CARLO TECHNIQUES; HOT-PHONONS IN SEMICONDUCTORS. Keywords: Liouville equation; Electric fields.
Book Synopsis The Wigner Monte Carlo Method for Nanoelectronic Devices by : Damien Querlioz
Download or read book The Wigner Monte Carlo Method for Nanoelectronic Devices written by Damien Querlioz and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: The emergence of nanoelectronics has led us to renew the concepts of transport theory used in semiconductor device physics and the engineering community. It has become crucial to question the traditional semi-classical view of charge carrier transport and to adequately take into account the wave-like nature of electrons by considering not only their coherent evolution but also the out-of-equilibrium states and the scattering effects. This book gives an overview of the quantum transport approaches for nanodevices and focuses on the Wigner formalism. It details the implementation of a particle-based Monte Carlo solution of the Wigner transport equation and how the technique is applied to typical devices exhibiting quantum phenomena, such as the resonant tunnelling diode, the ultra-short silicon MOSFET and the carbon nanotube transistor. In the final part, decoherence theory is used to explain the emergence of the semi-classical transport in nanodevices.
Book Synopsis Monte Carlo Analysis of Quantum Transport and Fluctuations in Semiconductor II. by : Carlos Jacoboni
Download or read book Monte Carlo Analysis of Quantum Transport and Fluctuations in Semiconductor II. written by Carlos Jacoboni and published by . This book was released on 1988 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first topic treated is quantum transport. Two major lines of research have been investigated: the first is based on the introduction of the joint spectral density into a traditional Monte Carlo simulation; the second regards the formulation of a fully quantum mechanical approach for electron transport based on the density matrix approach. The second deals with treats noise, diffusion, and autocorrelation functions both from a theoretical and a simulative point of view. Results have been obtained for both bulk systems and quantum wells. The third topic concerns with an analysis of the effect of phonon populations in excess with respect to their thermal equilibrium values. Numerical Monte Carlo simulations have been performed for both GaAs and GaAs-A1GaAs quantum wells. Keywords: Gallium arsenides; Aluminum gallium arsenides; Quantum wells. (JHD).
Book Synopsis Quantum Monte Carlo Methods in Condensed Matter Physics by : Masuo Suzuki
Download or read book Quantum Monte Carlo Methods in Condensed Matter Physics written by Masuo Suzuki and published by World Scientific. This book was released on 1993 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews recent developments of quantum Monte Carlo methods and some remarkable applications to interacting quantum spin systems and strongly correlated electron systems. It contains twenty-two papers by thirty authors. Some of the features are as follows. The first paper gives the foundations of the standard quantum Monte Carlo method, including some recent results on higher-order decompositions of exponential operators and ordered exponentials. The second paper presents a general review of quantum Monte Carlo methods used in the present book. One of the most challenging problems in the field of quantum Monte Carlo techniques, the negative-sign problem, is also discussed and new methods proposed to partially overcome it. In addition, low-dimensional quantum spin systems are studied. Some interesting applications of quantum Monte Carlo methods to fermion systems are also presented to investigate the role of strong correlations and fluctuations of electrons and to clarify the mechanism of high-c superconductivity. Not only thermal properties but also quantum-mechanical ground-state properties have been studied by the projection technique using auxiliary fields. Further, the Haldane gap is confirmed by numerical calculations. Active researchers in the forefront of condensed matter physics as well as young graduate students who want to start learning the quantum Monte Carlo methods will find this book useful.
Book Synopsis Quantum Monte Carlo Methods by : James Gubernatis
Download or read book Quantum Monte Carlo Methods written by James Gubernatis and published by Cambridge University Press. This book was released on 2016-06-02 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring detailed explanations of the major algorithms used in quantum Monte Carlo simulations, this is the first textbook of its kind to provide a pedagogical overview of the field and its applications. The book provides a comprehensive introduction to the Monte Carlo method, its use, and its foundations, and examines algorithms for the simulation of quantum many-body lattice problems at finite and zero temperature. These algorithms include continuous-time loop and cluster algorithms for quantum spins, determinant methods for simulating fermions, power methods for computing ground and excited states, and the variational Monte Carlo method. Also discussed are continuous-time algorithms for quantum impurity models and their use within dynamical mean-field theory, along with algorithms for analytically continuing imaginary-time quantum Monte Carlo data. The parallelization of Monte Carlo simulations is also addressed. This is an essential resource for graduate students, teachers, and researchers interested in quantum Monte Carlo techniques.
Book Synopsis Monte Carlo Methods for Particle Transport by : Alireza Haghighat
Download or read book Monte Carlo Methods for Particle Transport written by Alireza Haghighat and published by CRC Press. This book was released on 2020-08-09 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fully updated with the latest developments in the eigenvalue Monte Carlo calculations and automatic variance reduction techniques and containing an entirely new chapter on fission matrix and alternative hybrid techniques. This second edition explores the uses of the Monte Carlo method for real-world applications, explaining its concepts and limitations. Featuring illustrative examples, mathematical derivations, computer algorithms, and homework problems, it is an ideal textbook and practical guide for nuclear engineers and scientists looking into the applications of the Monte Carlo method, in addition to students in physics and engineering, and those engaged in the advancement of the Monte Carlo methods. Describes general and particle-transport-specific automated variance reduction techniques Presents Monte Carlo particle transport eigenvalue issues and methodologies to address these issues Presents detailed derivation of existing and advanced formulations and algorithms with real-world examples from the author’s research activities
Book Synopsis Quantum Monte Carlo Methods in Physics and Chemistry by : M.P. Nightingale
Download or read book Quantum Monte Carlo Methods in Physics and Chemistry written by M.P. Nightingale and published by Springer Science & Business Media. This book was released on 1998-12-31 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years there has been a considerable growth in interest in Monte Carlo methods, and quantum Monte Carlo methods in particlular. Clearly, the ever-increasing computational power available to researchers, has stimulated the development of improved algorithms, and almost all fields in computational physics and chemistry are affected by their applications. Here we just mention some fields that are covered in the lecture notes contained in this volume, viz. electronic structure studies of atoms, molecules and solids, nuclear structure, and low- or zero-temperature studies of strongly-correlated quantum systems, both of the continuum and lattice variety, and cooperative phenomena in classical systems. Although each area of application may have its own peculiarities, requiring specialized solutions, all share the same basic methodology. It was with the intention of bringing together researchers and students from these various areas that the NATO Advanced Study Institute on Quantum Monte Carlo Methods in Physics and Chemistry was held at Cornell University from 12 to 24 July, 1998. This book contains material presented at the Institute in a series of mini courses in quantum Monte Carlo methods. The program consisted of lectures predominantly of a pedagogical nature, and of more specialized seminars. The levels varied from introductory to advanced, and from basic methods to applications; the program was intended for an audience working towards the Ph.D. level and above. Despite the essentially pedagogic nature of the Institute, several of the lectures and seminars contained in this volume present recent developments not previously published.
Book Synopsis Stochastic Approaches to Electron Transport in Micro- and Nanostructures by : Mihail Nedjalkov
Download or read book Stochastic Approaches to Electron Transport in Micro- and Nanostructures written by Mihail Nedjalkov and published by Springer Nature. This book was released on 2021-04-05 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book serves as a synergistic link between the development of mathematical models and the emergence of stochastic (Monte Carlo) methods applied for the simulation of current transport in electronic devices. Regarding the models, the historical evolution path, beginning from the classical charge carrier transport models for microelectronics to current quantum-based nanoelectronics, is explicatively followed. Accordingly, the solution methods are elucidated from the early phenomenological single particle algorithms applicable for stationary homogeneous physical conditions up to the complex algorithms required for quantum transport, based on particle generation and annihilation. The book fills the gap between monographs focusing on the development of the theory and the physical aspects of models, their application, and their solution methods and monographs dealing with the purely theoretical approaches for finding stochastic solutions of Fredholm integral equations.
Book Synopsis Monte Carlo Analysis of Quantum Transport and Fluctuations in Semiconductors by : Carlo Jacoboni
Download or read book Monte Carlo Analysis of Quantum Transport and Fluctuations in Semiconductors written by Carlo Jacoboni and published by . This book was released on 1986 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present report contains technical matter related to the research performed on two different subjects. The first part concerns with quantum transport in semiconductors. A unified review of the work already published in the literature is given together with some attempts to generalize Monte Carlo methods to quantum transport within the Liouville formulation. The second part concerns with fluctuations of carrier velocities and energies both in stationary and transient regime, described by means of the correlation-function method. An analysis of the results, obtained through a Monte Carlo procedure, for covalent and polar materials yields a deep physical picture of the effect of the scattering mechanisms (phonon and carrier-carrier interactions) on the transport properties. Keywords: Monte Carlo; Charge Transport; Quantum Transport; Fluctuations; Semiconductor Physics; Master Equation; Boltzmann Equation; Langevin Equation; Green Functions; Wigner Function; Drift Velocity; Mean Energy; Stationary Regimes; Transient Regimes; Diffusivity; Autocorrelation Functions; Relaxation effects; Electron electron Interaction.
Book Synopsis Advanced Monte Carlo for Radiation Physics, Particle Transport Simulation and Applications by : Andreas Kling
Download or read book Advanced Monte Carlo for Radiation Physics, Particle Transport Simulation and Applications written by Andreas Kling and published by Springer Science & Business Media. This book was released on 2014-02-22 with total page 1200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the state of the art of Monte Carlo methods in radiation physics and particle transport simulation and applications. Special attention is paid to algorithm development for modeling, and the analysis of experiments and measurements in a variety of fields.
Book Synopsis Interface and confined phonons in Schrödinger equation Monte Carlo (SEMC) based quantum transport simulation by : Xin Zheng
Download or read book Interface and confined phonons in Schrödinger equation Monte Carlo (SEMC) based quantum transport simulation written by Xin Zheng and published by . This book was released on 2003 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monte Carlo Methods for Radiation Transport by : Oleg N. Vassiliev
Download or read book Monte Carlo Methods for Radiation Transport written by Oleg N. Vassiliev and published by Springer. This book was released on 2016-10-17 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a guide to the use of Monte Carlo techniques in radiation transport. This topic is of great interest for medical physicists. Praised as a "gold standard" for accurate radiotherapy dose calculations, Monte Carlo has stimulated a high level of research activity that has produced thousands of papers within the past few years. The book is designed primarily to address the needs of an academically inclined medical physicist who wishes to learn the technique, as well as experienced users of standard Monte Carlo codes who wish to gain insight into the underlying mathematics of Monte Carlo algorithms. The book focuses on the fundamentals—giving full attention to and explaining the very basic concepts. It also includes advanced topics and covers recent advances such as transport of charged particles in magnetic fields and the grid-based solvers of the Boltzmann equation.
Book Synopsis Quantum Monte Carlo Approaches for Correlated Systems by : Federico Becca
Download or read book Quantum Monte Carlo Approaches for Correlated Systems written by Federico Becca and published by Cambridge University Press. This book was released on 2017-11-30 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past several decades, computational approaches to studying strongly-interacting systems have become increasingly varied and sophisticated. This book provides a comprehensive introduction to state-of-the-art quantum Monte Carlo techniques relevant for applications in correlated systems. Providing a clear overview of variational wave functions, and featuring a detailed presentation of stochastic samplings including Markov chains and Langevin dynamics, which are developed into a discussion of Monte Carlo methods. The variational technique is described, from foundations to a detailed description of its algorithms. Further topics discussed include optimisation techniques, real-time dynamics and projection methods, including Green's function, reptation and auxiliary-field Monte Carlo, from basic definitions to advanced algorithms for efficient codes, and the book concludes with recent developments on the continuum space. Quantum Monte Carlo Approaches for Correlated Systems provides an extensive reference for students and researchers working in condensed matter theory or those interested in advanced numerical methods for electronic simulation.
Book Synopsis The Monte Carlo Method for Semiconductor Device Simulation by : Carlo Jacoboni
Download or read book The Monte Carlo Method for Semiconductor Device Simulation written by Carlo Jacoboni and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the application of the Monte Carlo method to the simulation of semiconductor devices, reviewing the physics of transport in semiconductors, followed by an introduction to the physics of semiconductor devices.
Book Synopsis An Introduction to Quantum Monte Carlo Methods by : Tao Pang
Download or read book An Introduction to Quantum Monte Carlo Methods written by Tao Pang and published by Morgan & Claypool Publishers. This book was released on 2016-12-07 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monte Carlo methods have been very prominent in computer simulation of various systems in physics, chemistry, biology, and materials science. This book focuses on the discussion and path-integral quantum Monte Carlo methods in many-body physics and provides a concise but complete introduction to the Metropolis algorithm and its applications in these two techniques. To explore the schemes in clarity, several quantum many-body systems are analysed and studied in detail. The book includes exercises to help digest the materials covered. It can be used as a tutorial to learn the discussion and path-integral Monte Carlo or a recipe for developing new research in the reader's own area. Two complete Java programs, one for the discussion Monte Carlo of 4^He clusters on a graphite surface and the other for the path-integral Monte Carlo of cold atoms in a potential trap, are ready for download and adoption.
Book Synopsis Monte Carlo Methods in Ab Initio Quantum Chemistry by : B. L. Hammond
Download or read book Monte Carlo Methods in Ab Initio Quantum Chemistry written by B. L. Hammond and published by World Scientific. This book was released on 1994 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the basic theory and application of the Monte Carlo method to the electronic structure of atoms and molecules. It assumes no previous knowledge of the subject, only a knowledge of molecular quantum mechanics at the first-year graduate level. A working knowledge of traditional ab initio quantum chemistry is helpful, but not essential.Some distinguishing features of this book are:
Book Synopsis Schrödinger Equation Monte Carlo Simulation of Nanoscale Devices by : Xin Zheng
Download or read book Schrödinger Equation Monte Carlo Simulation of Nanoscale Devices written by Xin Zheng and published by . This book was released on 2007 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some semiconductor devices such as lasers have long had critical dimensions on the nanoscale where quantum effects are critical. Others such as MOSFETs are now being scaled to within this regime. Quantum effects neglected in semiclassical models become increasing important at the nanoscale. Meanwhile, scattering remains important even in MOSFETs of 10 nm and below. Therefore, accurate quantum transport simulators with scattering are needed to explore the essential device physics at the nanoscale. The work of this dissertation is aimed at developing accurate quantum transport simulation tools for deep submicron device modeling, as well as utilizing these simulation tools to study the quantum transport and scattering effects in the nano-scale semiconductor devices. The basic quantum transport method "Schrödinger Equation Monte Carlo" (SEMC) provides a physically rigorous treatment of quantum transport and phasebreaking inelastic scattering (in 3D) via real (actual) scattering processes such as optical and acoustic phonon scattering. The SEMC method has been used previously to simulate carrier transport in nano-scaled devices in order to gauge the potential reliability of semiclassical models, phase-coherent quantum transport, and other limiting models as the transition from classical to quantum transport is approached. In this work, SEMC-1D and SEMC-2D versions with long range polar optical scattering processes have been developed and used to simulate quantum transport in tunnel injection lasers and nanoscaled III-V MOSFETs. Simulation results serve not only to demonstrate the capabilities of the developed quantum transport simulators, but also to illuminate the importance of physically accurate simulation of scattering for the predictive modeling of transport in nano-scaled devices.
