Orbital Selectivity In Strongly Correlated Fermionic Systems From Materials To Cold Atoms
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Orbital Selectivity In Strongly Correlated Fermionic Systems From Materials To Cold Atoms
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Author : Emilio Winograd
language : en
Publisher:
Release Date : 2013
Orbital Selectivity In Strongly Correlated Fermionic Systems From Materials To Cold Atoms written by Emilio Winograd and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
This thesis focuses on multiorbital aspects of strongly correlated fermionic systems. In particular, it focuses on the existence of orbital differentiation in which coexistence of itinerant and localized character can be associated to different orbitals. This subject is discussed in the context of cold atoms and materials, providing a bridge between both communities.In the first part of the thesis, we give an insight into the problem of strong correlations in materials, and we introduce the concept of 'orbital-selective Mott transition'. We also provide the main tools to understand how materials can be simulated with cold atoms experiments, and we present important related results in the context of the metal-Mott insulator transition. The technical aspects, based on dynamical mean-field theory are also discussed, and the solution of two key models of strongly correlated fermionic systems, i.e., the Hubbard model (HM) and the Falicov-Kimball model (FKM), are reviewed.Then we study in detail the physics of two interacting fermionic species with different masses in an optical lattice. We establish the different phases (with and without long-range order) in terms of the interactions strength (U), mass ratio and temperature (T), and also discuss the thermodynamic variables, which are relevant in cold atoms experiments. We show that in the metallic phase (U below a critical value) and for some degree of mass imbalance, a crossover appears between a Fermi-liquid metallic state at low T, and an 'orbital-selective' state at higher T, where the heavy fermions effectively localize while the light species remain itinerant. Hence, we propose this minimal model for addressing orbital-selective physics with cold atoms experiments.Based on the properties of the studied model, we propose the 'entropic chromatography' as a new method for cooling fermionic atoms in optical lattices. We discuss its efficiency and limitations, and provide some ideas in order to overcome them.In the last part of the thesis we generalize the previous model to a model relevant for multiband correlated materials that can display orbital differentiation. We show that the orbital-selective Mott state can be stable under lattice distortions modeled by local hybridization between the orbitals. However, the Mott state is characterized by a pseudogap, where charge fluctuations abruptly reduce, but the state remains compressible. In connection with the previous model, we discuss the temperature-induced orbital-selective crossover in this problem, we compare our results with photoemission experiments, and predict what would happen in materials that display local hybridization between the bands.
Strongly Correlated Fermions And Bosons In Low Dimensional Disordered Systems
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Author : Igor V. Lerner
language : en
Publisher: Springer
Release Date :
Strongly Correlated Fermions And Bosons In Low Dimensional Disordered Systems written by Igor V. Lerner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on with Science categories.
The physics of strongly correlated fermions and bosons in a disordered envi ronment and confined geometries is at the focus of intense experimental and theoretical research efforts. Advances in material technology and in low temper ature techniques during the last few years led to the discoveries of new physical of atomic gases and a possible metal phenomena including Bose condensation insulator transition in two-dimensional high mobility electron structures. Situ ations were the electronic system is so dominated by interactions that the old concepts of a Fermi liquid do not necessarily make a good starting point are now routinely achieved. This is particularly true in the theory of low dimensional systems such as carbon nanotubes, or in two dimensional electron gases in high mobility devices where the electrons can form a variety of new structures. In many of these sys tems disorder is an unavoidable complication and lead to a host of rich physical phenomena. This has pushed the forefront of fundamental research in condensed matter towards the edge where the interplay between many-body correlations and quantum interference enhanced by disorder has become the key to the understand ing of novel phenomena.
Multi Species Systems In Optical Lattices
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Author : Fernanda Pinheiro
language : en
Publisher: Springer
Release Date : 2016-08-12
Multi Species Systems In Optical Lattices written by Fernanda Pinheiro and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-12 with Science categories.
This highly interdisciplinary thesis covers a wide range of topics relating to the interface of cold atoms, quantum simulation, quantum magnetism and disorder. With a self-contained presentation, it provides a broad overview of the rapidly evolving area of cold atoms and is of interest to both undergraduates and researchers working in the field. Starting with a general introduction to the physics of cold atoms and optical lattices, it extends the theory to that of systems with different multispecies atoms. It advances the theory of many-body quantum systems in excited bands (of optical lattices) through an extensive study of the properties of both the mean-field and strongly correlated regimes. Particular emphasis is given to the context of quantum simulation, where as shown here, the orbital degree of freedom in excited bands allows the study of exotic models of magnetism not easily achievable with the previous alternative systems. In addition, it proposes a new model Hamiltonian that serves as a quantum simulator of various disordered systems in different symmetry classes that can easily be reproduced experimentally. This is of great interest, especially for the study of disorder in 2D quantum systems.
Hubbard Model The Recent Results
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Author : Mario G Rasetti
language : en
Publisher: World Scientific
Release Date : 1991-07-03
Hubbard Model The Recent Results written by Mario G Rasetti and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-07-03 with Science categories.
This collection of articles provides authoritative and up-to-date reviews on the Hubbard Model. It will be useful to graduate students and researchers in the field.
Introduction To Many Body Physics
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Author : Piers Coleman
language : en
Publisher: Cambridge University Press
Release Date : 2015-11-26
Introduction To Many Body Physics written by Piers Coleman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-26 with Science categories.
This book explains the tools and concepts needed for a research-level understanding of the subject, for graduate students in condensed matter physics.
Correlated Electrons In Quantum Matter
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Author : Peter Fulde
language : en
Publisher: World Scientific
Release Date : 2012-08-08
Correlated Electrons In Quantum Matter written by Peter Fulde and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-08 with Science categories.
An understanding of the effects of electronic correlations in quantum systems is one of the most challenging problems in physics, partly due to the relevance in modern high technology. Yet there exist hardly any books on the subject which try to give a comprehensive overview on the field covering insulators, semiconductors, as well as metals. The present book tries to fill that gap.It intends to provide graduate students and researchers a comprehensive survey of electron correlations, weak and strong, in insulators, semiconductors and metals. This topic is a central one in condensed matter and beyond that in theoretical physics. The reader will have a better understanding of the great progress which has been made in the field over the past few decades.
Nature
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Author : Sir Norman Lockyer
language : en
Publisher:
Release Date : 2005
Nature written by Sir Norman Lockyer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Electronic journals categories.
Quantum Phase Transitions In Cold Atoms And Low Temperature Solids
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Author : Kaden Richard Alan Hazzard
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-28
Quantum Phase Transitions In Cold Atoms And Low Temperature Solids written by Kaden Richard Alan Hazzard and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-28 with Science categories.
The primary focus of this thesis is to theoretically describe nanokelvin experiments in cold atomic gases, which offer the potential to revolutionize our understanding of strongly correlated many-body systems. The thesis attacks major challenges of the field: it proposes and analyzes experimental protocols to create new and interesting states of matter and introduces theoretical techniques to describe probes of these states. The phenomena considered include the fractional quantum Hall effect, spectroscopy of strongly correlated states, and quantum criticality, among others. The thesis also clarifies experiments on disordered quantum solids, which display a variety of exotic phenomena and are candidates to exhibit so-called "supersolidity." It collects experimental results and constrains their interpretation through theoretical considerations. This Doctoral Thesis has been accepted by Cornell University, Ithaca, USA.
The Kondo Problem To Heavy Fermions
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Author : Alexander Cyril Hewson
language : en
Publisher: Cambridge University Press
Release Date : 1997-04-28
The Kondo Problem To Heavy Fermions written by Alexander Cyril Hewson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-04-28 with Science categories.
The behaviour of magnetic impurities in metals has posed problems to challenge the condensed matter theorist over the past 30 years. This book deals with the concepts and techniques which have been developed to meet this challenge, and with their application to the interpretation of experiments. This book will be of interest to condensed matter physicists, particularly those interested in strong correlation problems. The detailed discussions of advanced many-body techniques should make it of interest to theoretical physicists in general.
Quantum Many Body Physics Of Ultracold Molecules In Optical Lattices
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Author : Michael L. Wall
language : en
Publisher: Springer
Release Date : 2015-04-20
Quantum Many Body Physics Of Ultracold Molecules In Optical Lattices written by Michael L. Wall and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-20 with Science categories.
This thesis investigates ultracold molecules as a resource for novel quantum many-body physics, in particular by utilizing their rich internal structure and strong, long-range dipole-dipole interactions. In addition, numerical methods based on matrix product states are analyzed in detail, and general algorithms for investigating the static and dynamic properties of essentially arbitrary one-dimensional quantum many-body systems are put forth. Finally, this thesis covers open-source implementations of matrix product state algorithms, as well as educational material designed to aid in the use of understanding such methods.
