Download or read book Quantum Monte Carlo Studies of Novel Phases in Strongly Correlated Systems written by Zi Yang Meng and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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: A comprehensive introduction to state-of-the-art quantum Monte Carlo techniques for applications in strongly-interacting systems. Including variational wave functions, stochastic samplings, the variational technique, optimisation techniques, real-time dynamics and projection methods and recent developments on the continuum space. An extensive resource for students and researchers.

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.

Download or read book Quantum Monte Carlo Studies of Strongly Correlated Systems written by Stefan Weßel and published by . This book was released on 2005 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Download or read book Quantum Monte Carlo Studies of Strongly Correlated Two dimensional Electron Systems written by Kenneth L. Graham and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Quantum Monte Carlo Studies of Strongly Correlated Systems for Quantum Simulators written by Stephan Humeniuk and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Machine Learning and Monte Carlo Studies of Strongly Correlated Systems written by Michael Floyd Matty and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: One, if not the, major difficulty encountered in the theoretical study of many-bodyquantum systems is the exponential growth of the Hilbert space with increasing degrees of freedom. In strongly correlated systems, non-perturbative interaction effects can exacerbate this difficulty by preventing the mapping of the theory to a single-particle problem. A multitude of theoretical techniques have thus emerged with the goal of understanding and predicting the exotic behavior of strongly cor- related systems. Among them are Monte Carlo simulation and, more recently, machine learning. In this dissertation, we use and develop Monte Carlo and ma- chine learning methods with the aim of learning new physics in strongly correlated systems. In the first part we apply machine learning to data obtained from simulations of strongly correlated systems. The identification of phases and characterization of their universal properties is a ubiquitous aspect of research in condensed matter physics. One can view phase identification as a classification problem in which one uses some function to map data to a phase label. However, complications such as competing interactions, disorder, and topological order, can render commonly used functions such as local order parameters ineffective. Here, we use a supervised machine learning model to represent the function that maps data to a phase label. In particular we study the phase diagram of a disordered fractional quantum Hall system with competing interactions. In addition to this phase classification prob- lem, we also consider the question of whether a given quantum many-body wave function could even be the ground state of some local Hamiltonian. To this end we introduce Entanglement Clustering, which uses unsupervised machine learning to study unconverged, noisy Monte Carlo swap operator samples from wave functions. In the second part we apply machine learning to data obtained from exper- iments. One can view many experimental techniques as forward processes that take some experimental probe, let it interact with a sample, and produce an out- put dataset. The goal of the analysis of the output dataset is often to recover some information about the interaction of the probe with the sample such as an order parameter type or electrostatic potential. One way to do this is to attempt to find an inverse function that maps the dataset back to the desired information. Traditional solutions to such "inverse problems" often rely on the existence of a forward model. However, motivated by cases where there is no invertable and/or efficient forward model, we try instead to represent the inverse function as an ML model. With this guiding philosophy, we have been able to gain new insights into complex materials using data from resonant ultrasound spectroscopy experiments. In the third part, we approach the melting of generalized Wigner crystals by considering the strong coupling limit of a transition metal dichalcogenide (TMD) moiré system at varying densities using Monte Carlo simulations with a new cluster update algorithm. We are motivated by recent experiments in a narrow-band TMD heterobilayer moiré system that found signatures of incompressible charge ordered states at fractional fillings of the moiré lattice that one can understand as generalized Wigner crystals. We predict the generalized Wigner crystal at 1/3 filling to melt into the compressible hexagonal domain wall state upon increasing filling. Moreover, we find two distinct stripe solid states at fillings 2/5 and 1/2 to be each preceded by distinct types of nematic states.

Download or read book On Quantum Monte Carlo and Strongly Correlated Electron Systems written by Fakher Fakhry Assaad and published by . This book was released on 1991 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Strongly Correlated Systems Approach Through Quantum Monte Carlo written by and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lectures on the Physics of Strongly Correlated Systems XIV written by Adolfo Avella and published by American Institute of Physics. This book was released on 2011-01-21 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains the lectures delivered at the XIV Training Course in the Physics of Strongly Correlated Systems, held in Vietri sul Mare (Salerno) Italy, in October 2009. The project of the meeting was to promote the formation of young scientists by means of training through research. These features are reflected in the book: the lectures are up-to-date monographs of relevant subjects in the field of Condensed Matter Physics. Contributions include: Electronic Structure of Strongly Correlated Materials (Electronic structure calculations in one-electron approximation; Hubbard model in Dynamical Mean-Field Theory (DMFT); Electronic structure calculations for real materials by LDA+DMFT method); Computational Studies of Quantum Spin Systems (Quantum spin models, their ground states and quantum phase transitions; Classical phase transitions, Monte Carlo simulations, and finite-size scaling; Exact diagonalization methods; Quantum Monte Carlo simulations and the Stochastic Series Expansion method; Survey of related computational methods); Dynamical Mean-Field Theory of Electronic Correlations in Models and Materials (Mean-field theories for many-body systems; Lattice fermions in the limit of high dimensions; Dynamical mean-field theory for correlated lattice fermions; The Mott-Hubbard Metal-Insulator Transition; Electronic correlations and disorder; Theory of electronic correlations in materials; Kinks in the dispersion of strongly correlated electron systems).

Download or read book Lectures on the Physics of Strongly Correlated Systems XII written by Adolfo Avella and published by American Institute of Physics. This book was released on 2008-06-05 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains the lectures delivered at the XII Training Course in the Physics of Strongly Correlated Systems, held in Vietri sul Mare (Salerno) Italy, in October 2007. The focus of the meeting was to promote the formation of young scientists by means of training through research. These features are reflected in the book: the lectures are up-to-date monographies of relevant subjects in the field of Condensed Matter Physics. Contributions include: Quantum Magnetism (Independent spins and Weiss meanfield theory; Finite Heisenberg clusters; Linear spin-wave theory; Classical and quantum Monte Carlo; Entanglement in quantum spin systems); Nanomagnets and Entanglement (The Dynamical Mean Field and Cluster Approximations; Quantum Monte Carlo Algorithms for the Quantum Cluster Problem; Analytic Continuation of Quantum Monte Carlo Data); The Dynamical Cluster Approximation with Quantum Monte Carlo Cluster Solvers (Fermi liquids; Fermi-liquid instabilities at quantum phase transitions: theory; Fermi-liquid instabilities at quantum phase transitions: experiment; Metal-insulator transition in heavily doped semiconductors); Quantum phase transitions; Correlated thermoelectric (Phenomenological equations; Physical interpretation; Solution of transport equations; Linear response theory; Current operators; Mahan-Jonson theorem; Microscopic solution for transport coefficients).

Download or read book Development of Full Configuration Interaction Quantum Monte Carlo Methods for Strongly Correlated Electron Systems written by Werner Dobrautz and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lectures on the Physics of Strongly Correlated Systems XIII written by Adolfo Avella and published by American Institute of Physics. This book was released on 2009-09-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains the lectures delivered at the XIII Training Course in the Physics of Strongly Correlated Systems, held in Vietri sul Mare (Salerno) Italy, in October 2008. The project of the meeting was to promote the formation of young scientists by means of training through research. These features are reflected in the book: the lectures are up-to-date monographies of relevant subjects in the field of Condensed Matter Physics. Contributions include: Quantum Magnetism in insulators (Single impurities in semiconductors and insulators; One- Two- and Three-dimensional magnets and quantum phase transitions; Undoped and doped Kondo insulators); Novel quantum condensates in excitonic matter (The physical systems: excitonic insulators, the Dicke model, exciton and polariton BEC; Second quantization, coherent states and path integral; exciton and polariton condensates in mean field theory; Open systems and Keldysh formulation; Phase-breaking and open system dynamics); Introduction to unconventional superconductivity (Generalized BCS theory; Phenomenological approach and symmetry aspects; Generalized Ginzburg-Landau theory; Josephson and tunneling effects); Quantum Monte-Carlo simulations (Classical and quantum cluster algorithms; The worm algorithm; Optimized ensembles for classical and quantum Monte-Carlo simulations; Continuous time QMC solvers for quantum impurity problems and DMFT).

Download or read book Strongly Correlated Multi Orbital Systems written by Nicolaus Parragh and published by . This book was released on 2013 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Computational Studies of Strongly Correlated Quantum Matter written by Hao Shi and published by . This book was released on 2017 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of strongly correlated quantum many-body systems is an outstanding challenge. Highly accurate results are needed for the understanding of practical and fundamental problems in condensed-matter physics, high energy physics, material science, quantum chemistry and so on. Our familiar mean-field or perturbative methods tend to be ineffective. Numerical simulations provide a promising approach for studying such systems. The fundamental difficulty of numerical simulation is that the dimension of the Hilbert space needed to describe interacting systems increases exponentially with the system size. Quantum Monte Carlo (QMC) methods are one of the best approaches to tackle the problem of enormous Hilbert space. They have been highly successful for boson systems and unfrustrated spin models. For systems with fermions, the exchange symmetry in general causes the infamous sign problem, making the statistical noise in the computed results grow exponentially with the system size. This hinders our understanding of interesting physics such as high-temperature superconductivity, metal-insulator phase transition. In this thesis, we present a variety of new developments in the auxiliary-field quantum Monte Carlo (AFQMC) methods, including the incorporation of symmetry in both the trial wave function and the projector, developing the constraint release method, using the force-bias to drastically improve the efficiency in Metropolis framework, identifying and solving the infinite variance problem, and sampling Hartree-Fock-Bogoliubov wave function. With these developments, some of the most challenging many-electron problems are now under control. We obtain an exact numerical solution of two-dimensional strongly interacting Fermi atomic gas, determine the ground state properties of the 2D Fermi gas with Rashba spin-orbit coupling, provide benchmark results for the ground state of the two-dimensional Hubbard model, and establish that the Hubbard model has a stripe order in the underdoped region.

Download or read book Emergent Phenomena in Correlated Matter written by Eva Pavarini and published by Forschungszentrum Jülich. This book was released on 2013 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: