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A Numerical Study of a Disorder-driven 2D Mott Insulator-to-metal Quantum Phase Transition

A Numerical Study of a Disorder-driven 2D Mott Insulator-to-metal Quantum Phase Transition
Author: Jared O'Neal
Publisher:
Total Pages: 75
Release: 2017
Genre: Hopping conduction
ISBN:

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The study reported here was a theoretical and computational effort to demonstrate how randomly assigning on-site repulsive disorder potentials of a fixed strength to a given number of sites in a standard two-dimensional, mean-field Hubbard model perturbs the magnetic and Mott-like character of the disorder-less parent system. Simulation results, which suggest an insulator-to-metal transition in the absence of chemical doping, show that increasing the number of disorder sites weakens the antiferromagnetic ordering of the system. The transition to a possible metallic state is characterized by a v-shaped gap at the Fermi energy, which is formed by the closing of the Mott gap in regions between disorder sites. We also present a comparison of simulation results against previously-reported scanning tunneling microscopy measurements in an effort to establish this model as a valid model for the material Sr3(Ir1-xRux)2O7, whose parent compound is a Mott insulator and which is known to undergo at low temperatures a transition from an antiferromagnetic insulator phase to an antiferromagnetic metallic phase.


Conductor Insulator Quantum Phase Transitions

Conductor Insulator Quantum Phase Transitions
Author: Vladimir Dobrosavljevic
Publisher: OUP Oxford
Total Pages: 584
Release: 2012-06-28
Genre: Science
ISBN: 0199592594

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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.


Mott Insulators

Mott Insulators
Author: Sindhunil Barman Roy
Publisher:
Total Pages: 0
Release: 2019
Genre: Electric insulators and insulating
ISBN: 9780750315968

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"There have been many recent developments in the physics and materials science of Mott insulators, especially their recognition as emergent materials for important and innovative device applications such as information processing and storage, and the possibilities of even further applications in optical and thermal switches, thermo-chromic devices, gas sensors and even solar cell applications. Aimed at advanced undergraduate students of physics, chemistry, materials science, and electrical and electronics engineering, this book introduces the subject and reviews present knowledge in the field, enabling students and researchers to get acquainted with this very interesting and emerging area of science and technology. Professional researchers in academic institutions and industries already engaged in the programmes of correlated electron materials and devices will also find this title of use." -- Prové de l'editor.


Quantum Phase Transitions in Cold Atoms and Low Temperature Solids

Quantum Phase Transitions in Cold Atoms and Low Temperature Solids
Author: Kaden Richard Alan Hazzard
Publisher: Springer Science & Business Media
Total Pages: 239
Release: 2011-06-28
Genre: Science
ISBN: 1441981799

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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.


Quantum Phase Transitions

Quantum Phase Transitions
Author: Subir Sachdev
Publisher: Cambridge University Press
Total Pages: 521
Release: 2011-04-07
Genre: Science
ISBN: 113950021X

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Describing the physical properties of quantum materials near critical points with long-range many-body quantum entanglement, this book introduces readers to the basic theory of quantum phases, their phase transitions and their observable properties. This second edition begins with a new section suitable for an introductory course on quantum phase transitions, assuming no prior knowledge of quantum field theory. It also contains several new chapters to cover important recent advances, such as the Fermi gas near unitarity, Dirac fermions, Fermi liquids and their phase transitions, quantum magnetism, and solvable models obtained from string theory. After introducing the basic theory, it moves on to a detailed description of the canonical quantum-critical phase diagram at non-zero temperatures. Finally, a variety of more complex models are explored. This book is ideal for graduate students and researchers in condensed matter physics and particle and string theory.


Holographic Quantum Matter

Holographic Quantum Matter
Author: Sean A. Hartnoll
Publisher: MIT Press
Total Pages: 407
Release: 2018-03-16
Genre: Science
ISBN: 0262348020

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A comprehensive overview of holographic methods in quantum matter, written by pioneers in the field. This book, written by pioneers in the field, offers a comprehensive overview of holographic methods in quantum matter. It covers influential developments in theoretical physics, making the key concepts accessible to researchers and students in both high energy and condensed matter physics. The book provides a unique combination of theoretical and historical context, technical results, extensive references to the literature, and exercises. It will give readers the ability to understand the important problems in the field, both those that have been solved and those that remain unsolved, and will enable them to engage directly with the current literature. The book describes a particular interface between condensed matter physics, gravitational physics, and string and quantum field theory made possible by holographic duality. The chapters cover such topics as the essential workings of the holographic correspondence; strongly interacting quantum matter at a fixed commensurate density; compressible quantum matter with a variable density; transport in quantum matter; the holographic description of symmetry broken phases; and the relevance of the topics covered to experimental challenges in specific quantum materials. Holographic Quantum Matter promises to be the definitive presentation of this material.


Understanding Quantum Phase Transitions

Understanding Quantum Phase Transitions
Author: Lincoln Carr
Publisher: CRC Press
Total Pages: 756
Release: 2010-11-02
Genre: Science
ISBN: 1439802610

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Quantum phase transitions (QPTs) offer wonderful examples of the radical macroscopic effects inherent in quantum physics: phase changes between different forms of matter driven by quantum rather than thermal fluctuations, typically at very low temperatures. QPTs provide new insight into outstanding problems such as high-temperature superconductivit


Hubbard Model, The: Recent Results

Hubbard Model, The: Recent Results
Author: Mario G Rasetti
Publisher: World Scientific
Total Pages: 242
Release: 1991-07-03
Genre: Science
ISBN: 9814513962

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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.


The Mott Metal-Insulator Transition

The Mott Metal-Insulator Transition
Author: Florian Gebhard
Publisher: Springer
Total Pages: 318
Release: 2003-07-01
Genre: Technology & Engineering
ISBN: 3540148582

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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.


Chemical Abstracts

Chemical Abstracts
Author:
Publisher:
Total Pages: 2668
Release: 2002
Genre: Chemistry
ISBN:

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