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Monday, July 13, 2020 | History

5 edition of Hubbard Operators in the Theory of Strongly Correlated Electrons found in the catalog.

Hubbard Operators in the Theory of Strongly Correlated Electrons

by S. G. Ovchinnikov

  • 341 Want to read
  • 32 Currently reading

Published by Imperial College Press .
Written in English

    Subjects:
  • States of matter,
  • Quantum Theory,
  • Science,
  • Science/Mathematics,
  • Mathematical Physics,
  • Physics

  • The Physical Object
    FormatHardcover
    Number of Pages241
    ID Numbers
    Open LibraryOL8628069M
    ISBN 101860944302
    ISBN 109781860944307

      A microscopic theory of superconductivity in systems with strong electron correlations is considered within the Hubbard model. The Dyson equation for the matrix Green function in terms of the Hubbard operators is derived and solved in the noncrossing approximation for the : N. M. Plakida. A new mean field theory is proposed for the Mott transition in the Hubbard model based on the slave rotor representation of the electron operator. This theory provides a better description of the role of the long range charge correlation in the Mott insulating state and offers a good estimation of the critical correlation strength for the Mott.

      Perturbation Theory of Strongly Correlated Electrons with and without Slave Boson Technique - NASA/ADS The Green functions of the electrons in the two-band Hubbard model with the strong on-site Coulomb repulsion were calculated by means of the perturbation theory with respect to the hopping term of the by: 1. systems [13–17]. The idea it is based on is quite simple and consists in using the the Hubbard Hamiltonian to describe “strongly correlated” electronic states (typically, localized dor for-bitals), while the rest of valence electrons are treated at the “standard” level of Size: 1MB.

      We found that the mean-field solution of the Hubbard model is an excellent tool to stimulate students' reflections towards the treatment of realistic magnetic interactions. Val’kov V V and Ovchinnikov S G Hubbard Operators in the Theory of Strongly Correlated Electrons Krauth W and Rozenberg M J Dynamical mean-field theory Cited by: 6. Recently it was established that a certain integrable long-range spin chain describes the dilatation operator of Script N = 4 gauge theory in the fraktur sfraktur u(2) sector to at least three-loop order, while exhibiting BMN scaling to all orders in perturbation theory. Here we identify this spin chain as an approximation to an integrable short-ranged model of strongly correlated electrons.


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Hubbard Operators in the Theory of Strongly Correlated Electrons by S. G. Ovchinnikov Download PDF EPUB FB2

Hubbard Operators in the Theory of Strongly Correlated Electrons. This book provides the first systematic discourse on a very peculiar approach to the theory of strongly correlated systems. Hubbard X-operators have been known for a long time but have not been widely used because of their awkward algebra.

Hubbard operators in the theory of strongly correlated electrons. [S G Ovchinnikov; V V Valʹkov] -- "This book provides the first systematic discourse on a very peculiar approach to the theory of strongly correlated systems.

Hubbard operators in the theory of strongly correlated electrons. [S G Ovchinnikov; V V Valʹkov] -- This book provides the first systematic discourse on a very peculiarapproach to the theory of strongly correlated systems. Focusing on the purely theoretical aspects of strongly correlated electrons, this volume brings together a variety of approaches to models of the Hubbard type – i.e., problems where both localized and delocalized elements are present in low.

If the address matches an existing account you will receive an email with instructions to reset your password. Focusing on the purely theoretical aspects of strongly correlated electrons, this volume brings together a variety of approaches to models of the Hubbard type – i.e., problems where both localized and delocalized elements are present in low dimensions.

The chapters are arranged in three parts. The. The one-dimensional Hubbard Model at arbitrary filling is reviewed using non-abelian bosonization and emphasizing the hidden O(4) symmetry at half-filling.

This provides a one-dimensional warm-up for theories of high-T c superconductivity involving “holons” and “spinons”.Cited by: 4. The theory is constructed in two steps. As a first step the total Hamiltonian is transformed into a correlated form.

In order to elucidate the microscopical origin of the parameters of the periodical Hubbard-Anderson model (PHAM) the terms of the full Hamiltonian which have the operator structure of PHAM are separated.

Last years, the topological description of Mott-Hubbard systems has been developed, including unusual superconductivity and algebraic spin liquid phase of the gauge theory.

At the same time, traditional methods of theoretical consideration of strongly correlated electron systems (e.g., diagram technique, equation of motion decoupling etc.) are usually not related to the Cited by: 1. Lecture 8: Strongly correlated electronic systems: Hubbard, periodic Anderson, and Kondo models Christopher Mudry∗ Paul Scherrer Institut, CH Villigen PSI, Switzerland.

(Dated: November 6, ) Abstract The Hubbard, periodic Anderson, and Kondo models are defined. The symmetries of the Hub-bard model are derived. The constrained path Monte Carlo method was used to solve the Hubbard model for strongly correlated electrons systems analytically in arbitrary dimensions for one, two and three dimensional lattices.

The energy variations with electron filling, electron-electron correlation strength and time asFile Size: 1MB. Spin-only descriptions of the half-filled one-band Hubbard model are relevant for a wide range of Mott insulators.

In addition to the usual Heisenberg exchange, many new types of interactions, including ring exchange, appear in the effective Hamiltonian in the intermediate coupling regime.

In order to improve on the quantitative description of magnetic excitations in Cited by: Kinks in the dispersion of strongly correlated electrons Dieter Vollhardt [Self-consistent projection operator method] k-dependence of self-energy essential Σ(,)k ω Correlated electrons Hubbard model.

t U. Fermionic Hubbard model Strongly correlated electron systems and the Hubbard model Hubbard model is commonly used to describe strongly correlated electron sys-tems especially in transition metals and transition metal oxides.

These classes of materials include magnetic and non-magnetic Mott insulators, high temper-ature superconductors.

Theory of strongly correlated electron systems: Hubbard–Anderson models from an exact Hamiltonian, and perturbation theory near the atomic limit within a nonorthogonal basis set.

Hubbard Operators In The Theory Of Strongly Correlated Electrons. [S G Ovchinnikov; V V Val'kov] -- This book provides the first systematic discourse on a very peculiarapproach to the theory of strongly correlated systems.

A state-of-the-art review is given of the investigations of the Hubbard model, which is the main model used in the theory of strongly correlated electron systems.

In condensed matter physics, the Hubbard model represents the simplest theoret ical framework for describing interacting electrons in a crystal lattice. Containing only two explicit parameters - the ratio ("Ujt") between the Coulomb repulsion and the kinetic energy of the electrons.

Introduction to the Hubbard Model 2 Some notation and review of Green functions We first introduce some notation that will be used frequently and give a brief review of imag-inary time Green functions.

There are numerous excellent textbooks on the use of field theory for condensed matter physics where more details can be found [5–7].File Size: KB. Abstract: In strongly correlated electron systems the constraint which prohibits the double electron occupation at local sites can be realized by either the infinite Coulomb interaction or the correlated hopping interaction described by the Hubbard operators, but they both render the conventional field theory inapplicable.

Relaxing such the constraint leads to a class of correlated hopping models based on the deformed Hubbard operators which smoothly interpolate the locally free and strong Author: Xiao-Yong Feng, Jianhui Dai.

List of books in category "Operator Theory" 1. Reminiscences of a stock operator. John Wiley & Sons. Edwin Lefevre. Year: Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations Hubbard operators in the theory of strongly correlated electrons.

World Scientific Publishing Company. S. G. Ovchinnikov, V. V.Abstract: In strongly correlated electron systems the constraint which prohibits the double electron occupation at local sites can be realized by either the infinite Coulomb interaction or the correlated hopping interaction described by the Hubbard operators, but they both render the conventional field theory inapplicable.

Relaxing such the constraint leads to a class of correlated hopping .The theory is constructed in two steps. As a first step, the total Hamiltonian is transformed into a correlated form.

To elucidate the microscopic origin of the parameters of the periodic Hubbard-Anderson model (PHAM) the terms of the full Hamiltonian that have the operator structure of PHAM are separated.