Non-equilibrium States, Relaxation, and Noise in Bulk and Nano-sized Strongly Correlated Electron Systems

Non-equilibrium States, Relaxation, and Noise in Bulk and Nano-sized Strongly Correlated Electron Systems PDF Author: Barukh Dolgin
Publisher:
ISBN:
Category :
Languages : en
Pages : 102

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Non-equilibrium States, Relaxation, and Noise in Bulk and Nano-sized Strongly Correlated Electron Systems

Non-equilibrium States, Relaxation, and Noise in Bulk and Nano-sized Strongly Correlated Electron Systems PDF Author: Barukh Dolgin
Publisher:
ISBN:
Category :
Languages : en
Pages : 102

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Imaginary-time Formulation of Strongly Correlated Nonequilibrium

Imaginary-time Formulation of Strongly Correlated Nonequilibrium PDF Author: Ryan Heary
Publisher:
ISBN:
Category :
Languages : en
Pages : 116

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Book Description
Strongly correlated nanostructures and lattices ofelectrons are studied when these systems reside in a steady-state nonequilibrium. Much of the work done to date has made use of the nonequilibrium real-time Keldysh Green function technique. These methods include: the Keldysh Green function perturbation theory, time-dependent numerical renormalization group, density matrix renormalization group, and diagrammatic quantum Monte Carlo. In the special case of steady-state nonequilibrium we construct an imaginary-time theory. The motivation to do this is simple: there exist an abundant number of well-established strongly correlated computational solvers for imaginary-time theory and perturbation theory on the imaginary-time contour is much more straightforward than that of the real-time contour. The first model system we focus on is a strongly interacting quantum dot situated between source and drainelectron reservoirs.^The steady-state nonequilibrium boundary condition is established by applying a voltage bias $\Phi$ across the reservoirs, in turn modifying the chemical potentials of the leads. For a symmetric voltage drop we have$\mu_{source}=\Phi/2$ and $\mu_{drain}=-\Phi/2$. The dynamics of the electrons are governed by the Hamiltonian $\hat{\mathcal{H}}$ which is inherently independent of the imbalance in the source and drain chemical potentials. The statistics though are determined by the operator $\hat{\mathcal{H}}-\hat{\mathcal{Y}}$, where $\hat{\mathcal{Y}}$ imposes the nonequilibrium boundary condition. We show that it is possible to construct a single effective Hamiltonian $\hat{\mathcal{K}}$ able to describe both the dynamics and statistics of the system. Upon formulating the theory we explicitly show that it is consistent with the real-time Keldysh theory both formally and through an example using perturbation theory.^In these systems there exists a strong interplay between the interactions and nonequilibrium leading to novel nonperturbative phenomena. Therefore, we combine our theory with the Hirsch-Fye quantum Monte Carlo algorithm to study these effects. We then propose a nonequilibrium Hubbard model in the special limit of infinite dimensions (dynamical mean-field theory) where the problem is reduced to solving a self consistent nonequilibrium impurity model. The final chapter concentrates on electron spin and charge filtering through a quantum dot embedded Aharonov-Bohm interferometer.

Solid State Properties

Solid State Properties PDF Author: Mildred Dresselhaus
Publisher: Springer
ISBN: 3662559226
Category : Science
Languages : en
Pages : 521

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Book Description
This book fills a gap between many of the basic solid state physics and materials sciencebooks that are currently available. It is written for a mixed audience of electricalengineering and applied physics students who have some knowledge of elementaryundergraduate quantum mechanics and statistical mechanics. This book, based on asuccessful course taught at MIT, is divided pedagogically into three parts: (I) ElectronicStructure, (II) Transport Properties, and (III) Optical Properties. Each topic is explainedin the context of bulk materials and then extended to low-dimensional materials whereapplicable. Problem sets review the content of each chapter to help students to understandthe material described in each of the chapters more deeply and to prepare them to masterthe next chapters.

The Rayleigh and Raman Scattering

The Rayleigh and Raman Scattering PDF Author: George Placzek
Publisher:
ISBN:
Category : Light
Languages : en
Pages : 226

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Dissertation Abstracts International

Dissertation Abstracts International PDF Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 840

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Terahertz Spectroscopy

Terahertz Spectroscopy PDF Author: Susan L. Dexheimer
Publisher: CRC Press
ISBN: 142000770X
Category : Technology & Engineering
Languages : en
Pages : 358

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Book Description
The development of new sources and methods in the terahertz spectral range has generated intense interest in terahertz spectroscopy and its application in an array of fields. Presenting state-of-the-art terahertz spectroscopic techniques, Terahertz Spectroscopy: Principles and Applications focuses on time-domain methods based on femtosecond laser sources and important recent applications in physics, materials science, chemistry, and biomedicine. The first section of the book examines instrumentation and methods for terahertz spectroscopy. It provides a comprehensive treatment of time-domain terahertz spectroscopic measurements, including methods for the generation and detection of terahertz radiation, methods for determining optical constants from time-domain measurements, and the use of femtosecond time-resolved techniques. The last two sections explore a variety of applications of terahertz spectroscopy in physics, materials science, chemistry, and biomedicine. With chapters contributed by leading experts in academia, industry, and research, this volume thoroughly discusses methods and applications, setting it apart from other recent books in this emerging terahertz field.

Condensed Matter Field Theory

Condensed Matter Field Theory PDF Author: Alexander Altland
Publisher: Cambridge University Press
ISBN: 0521769752
Category : Science
Languages : en
Pages : 785

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Book Description
This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.

Emergent Phenomena in Correlated Matter

Emergent Phenomena in Correlated Matter PDF Author: Eva Pavarini
Publisher: Forschungszentrum Jülich
ISBN: 3893368841
Category :
Languages : en
Pages : 562

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Manipulating Quantum Systems

Manipulating Quantum Systems PDF Author: National Academies of Sciences, Engineering, and Medicine
Publisher: National Academies Press
ISBN: 0309499542
Category : Science
Languages : en
Pages : 315

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Book Description
The field of atomic, molecular, and optical (AMO) science underpins many technologies and continues to progress at an exciting pace for both scientific discoveries and technological innovations. AMO physics studies the fundamental building blocks of functioning matter to help advance the understanding of the universe. It is a foundational discipline within the physical sciences, relating to atoms and their constituents, to molecules, and to light at the quantum level. AMO physics combines fundamental research with practical application, coupling fundamental scientific discovery to rapidly evolving technological advances, innovation and commercialization. Due to the wide-reaching intellectual, societal, and economical impact of AMO, it is important to review recent advances and future opportunities in AMO physics. Manipulating Quantum Systems: An Assessment of Atomic, Molecular, and Optical Physics in the United States assesses opportunities in AMO science and technology over the coming decade. Key topics in this report include tools made of light; emerging phenomena from few- to many-body systems; the foundations of quantum information science and technologies; quantum dynamics in the time and frequency domains; precision and the nature of the universe, and the broader impact of AMO science.

Metal Nanoclusters in Catalysis and Materials Science: The Issue of Size Control

Metal Nanoclusters in Catalysis and Materials Science: The Issue of Size Control PDF Author: Benedetto Corain
Publisher: Elsevier
ISBN: 0080555004
Category : Technology & Engineering
Languages : en
Pages : 471

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Book Description
Metal Nanoclusters in Catalysis and Materials Science: The Issue of Size Control deals with the synthesis of metal nanoclusters along all known methodologies. Physical and chemical properties of metal nanoclusters relevant to their applications in chemical processing and materials science are covered thoroughly. Special attention is given to the role of metal nanoclusters size and shape in catalytic processes and catalytic applications relevant to industrial chemical processing.An excellent text for expanding the knowledge on the chemistry and physics of metal nanoclusters. Divided in two parts; Part I deals with general aspects of the matter and Part II has to be considered a useful handbook dealing with the production of metal nanoclusters, especially from their size-control point of view. * Divided into two parts for ease of reference: general and operational * Separation of synthetic aspects, physical properties and applications* Specific attention is given to the task of metal nanoclusters size-control