1# Library to Find Best eBook for Read
Author : Kenji Kamide
Release : 2007
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Theory of Phase Transition and Quantum Transport in Interacting One Dimensional Electron Systems by : Kenji Kamide
Download or read book Theory of Phase Transition and Quantum Transport in Interacting One Dimensional Electron Systems written by Kenji Kamide. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D. Baeriswyl
Release : 2007-09-29
Genre : Science
Kind : eBook
Book Rating : 636/5 ( reviews)
Book Synopsis Strong Interactions in Low Dimensions by : D. Baeriswyl
Download or read book Strong Interactions in Low Dimensions written by D. Baeriswyl. This book was released on 2007-09-29. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an attempt to convey the colorful facets of condensed matter systems with reduced dimensionality. Some of the specific features predicted for interacting one-dimensional electron systems, such as charge- and spin-density waves, have been observed in many quasi-one-dimensional materials. The two-dimensional world is even richer: besides d-wave superconductivity and the Quantum Hall Effect - perhaps the most spectacular phases explored during the last two decades - many collective charge and spin states have captured the interest of researchers, such as charge stripes or spontaneously generated circulating currents. Recent years have witnessed important progress in material preparation, measurement techniques and theoretical methods. Today larger and better samples, higher flux for neutron beams, advanced light sources, better resolution in electron spectroscopy, new computational algorithms, and the development of field-theoretical approaches allow an in-depth analysis of the complex many-body behaviour of low-dimensional materials. The epoch when simple mean-field arguments were sufficient for describing the gross features observed experimentally is definitely over. The Editors' aim is to thoroughly explain a number of selected topics: the application of dynamical probes, such as neutron scattering, optical absorption and photoemission, as well as transport studies, both electrical and thermal. Some of the more theoretical chapters are directly relevant for experiments, such as optical spectroscopy, transport in one-dimensional models, and the phenomenology of charge inhomogeneities in layered materials, while others discuss more general topics and methods, for example the concept of a Luttinger liquid and bosonization, or duality transformations, both promising tools for treating strongly interacting many-body systems.
Author : Subir Sachdev
Release : 2001-04-23
Genre : Mathematics
Kind : eBook
Book Rating : 541/5 ( reviews)
Book Synopsis Quantum Phase Transitions by : Subir Sachdev
Download or read book Quantum Phase Transitions written by Subir Sachdev. This book was released on 2001-04-23. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Phase Transitions is the first book to describe in detail the fundamental changes that can occur in the macroscopic nature of matter at zero temperature due to small variations in a given external parameter. The subject plays a central role in the study of the electrical and magnetic properties of numerous important solid state materials. The author begins by developing the theory of quantum phase transitions in the simplest possible class of non-disordered, interacting systems - the quantum Ising and rotor models. Particular attention is paid to their non-zero temperature dynamic and transport properties in the vicinity of the quantum critical point. Several other quantum phase transitions of increasing complexity are then discussed and clarified. Throughout, the author interweaves experimental results with presentation of theoretical models, and well over 500 references are included. The book will be of great interest to graduate students and researchers in condensed matter physics.
Author : Shankar Iyer
Release : 2013
Genre :
Kind : eBook
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Book Synopsis The Interplay of Localization and Interactions in Quantum Many-body Systems by : Shankar Iyer
Download or read book The Interplay of Localization and Interactions in Quantum Many-body Systems written by Shankar Iyer. This book was released on 2013. Available in PDF, EPUB and Kindle. Book excerpt: Disorder and interactions both play crucial roles in quantum transport. Decades ago, Mott showed that electron-electron interactions can lead to insulating behavior in materials that conventional band theory predicts to be conducting. Soon thereafter, Anderson demonstrated that disorder can localize a quantum particle through the wave interference phenomenon of Anderson localization. Although interactions and disorder both separately induce insulating behavior, the interplay of these two ingredients is subtle and often leads to surprising behavior at the periphery of our current understanding. Modern experiments probe these phenomena in a variety of contexts (e.g. disordered superconductors, cold atoms, photonic waveguides, etc.); thus, theoretical and numerical advancements are urgently needed. In this thesis, we report progress on understanding two contexts in which the interplay of disorder and interactions is especially important. The first is the so-called "dirty" or random boson problem. In the past decade, a strong-disorder renormalization group (SDRG) treatment by Altman, Kafri, Polkovnikov, and Refael has raised the possibility of a new unstable fixed point governing the superfluid-insulator transition in the one-dimensional dirty boson problem. This new critical behavior may take over from the weak-disorder criticality of Giamarchi and Schulz when disorder is sufficiently strong. We analytically determine the scaling of the superfluid susceptibility at the strong-disorder fixed point and connect our analysis to recent Monte Carlo simulations by Hrahsheh and Vojta. We then shift our attention to two dimensions and use a numerical implementation of the SDRG to locate the fixed point governing the superfluid-insulator transition there. We identify several universal properties of this transition, which are fully independent of the microscopic features of the disorder. The second focus of this thesis is the interplay of localization and interactions in systems with high energy density (i.e., far from the usual low energy limit of condensed matter physics). Recent theoretical and numerical work indicates that localization can survive in this regime, provided that interactions are sufficiently weak. Stronger interactions can destroy localization, leading to a so-called many-body localization transition. This dynamical phase transition is relevant to questions of thermalization in isolated quantum systems: it separates a many-body localized phase, in which localization prevents transport and thermalization, from a conducting ("ergodic") phase in which the usual assumptions of quantum statistical mechanics hold. Here, we present evidence that many-body localization also occurs in quasiperiodic systems that lack true disorder.
Author : Svetlana Anisimova
Release : 2010-06
Genre :
Kind : eBook
Book Rating : 402/5 ( reviews)
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. This book was released on 2010-06. 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.
