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Title: Geometrical non-Abelian bosonization approach for the two-dimensional Hubbard model

Abstract

A geometrical non-Abelian bosonization for the Fermi surface excitations is constructed. We introduce a unitary operator which generates the deformation of the Fermi surface which obeys non-Abelian Kac-Moody-Poisson brackets. We study the Hubbard model for {ital d}{ge}1, the charge part is a Fermi liquid at finite temperature and a Luttinger liquid for {ital d}=1 at {ital T}=0. The spin part is described by an 0(3) nonlinear sigma model. {copyright} {ital 1996 The American Physical Society.}

Authors:
 [1]
  1. Department of Physics, City College of the City University of New York, New York, New York 10031 (United States)
Publication Date:
OSTI Identifier:
389296
Resource Type:
Journal Article
Journal Name:
Physical Review, B: Condensed Matter
Additional Journal Information:
Journal Volume: 54; Journal Issue: 15; Other Information: PBD: Oct 1996
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; HUBBARD MODEL; BOSON EXPANSION; SIGMA MODEL; COLLECTIVE EXCITATIONS; SPIN WAVES; ACTION INTEGRAL; QUANTIZATION; CHARGE DENSITY; SPIN; TWO-DIMENSIONAL CALCULATIONS; TEMPERATURE DEPENDENCE

Citation Formats

Schmeltzer, D. Geometrical non-Abelian bosonization approach for the two-dimensional Hubbard model. United States: N. p., 1996. Web. doi:10.1103/PhysRevB.54.10269.
Schmeltzer, D. Geometrical non-Abelian bosonization approach for the two-dimensional Hubbard model. United States. doi:10.1103/PhysRevB.54.10269.
Schmeltzer, D. Tue . "Geometrical non-Abelian bosonization approach for the two-dimensional Hubbard model". United States. doi:10.1103/PhysRevB.54.10269.
@article{osti_389296,
title = {Geometrical non-Abelian bosonization approach for the two-dimensional Hubbard model},
author = {Schmeltzer, D.},
abstractNote = {A geometrical non-Abelian bosonization for the Fermi surface excitations is constructed. We introduce a unitary operator which generates the deformation of the Fermi surface which obeys non-Abelian Kac-Moody-Poisson brackets. We study the Hubbard model for {ital d}{ge}1, the charge part is a Fermi liquid at finite temperature and a Luttinger liquid for {ital d}=1 at {ital T}=0. The spin part is described by an 0(3) nonlinear sigma model. {copyright} {ital 1996 The American Physical Society.}},
doi = {10.1103/PhysRevB.54.10269},
journal = {Physical Review, B: Condensed Matter},
number = 15,
volume = 54,
place = {United States},
year = {1996},
month = {10}
}