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Title: Dynamical impurity problems

Abstract

In the past few years there has been a resurgence of interest in dynamical impurity problems, as a result of developments in the theory of correlated electron systems. The general dynamical impurity problem is a set of conduction electrons interacting with an impurity which has internal degrees of freedom. The simplest and earliest example, the Kondo problem, has attracted interest since the mid-sixties not only because of its physical importance but also as an example of a model displaying logarithmic divergences order by order in perturbation theory. It provided one of the earliest applications of the renormalization group method, which is designed to deal with just such a situation. As we shall see, the antiferromagnetic Kondo model is controlled by a strong-coupling fixed point, and the essence of the renormalization group solution is to carry out the global renormalization numerically starting from the original (weak-coupling) Hamiltonian. In these lectures, we shall describe an alternative route in which we identify an exactly solvable model which renormalizes to the same fixed point as the original dynamical impurity problem. This approach is akin to determining the critical behavior at a second order phase transition point by solving any model in a given universalitymore » class.« less

Authors:
 [1];  [2]
  1. Brookhaven National Lab., Upton, NY (United States)
  2. California Univ., Los Angeles, CA (United States). Dept. of Physics
Publication Date:
Research Org.:
Brookhaven National Lab., Upton, NY (United States)
Sponsoring Org.:
USDOE, Washington, DC (United States); National Science Foundation, Washington, DC (United States)
OSTI Identifier:
10157485
Report Number(s):
BNL-60297; CONF-9306338-1
ON: DE94013025; CNN: Grant DMR-93-12606; TRN: 94:012934
DOE Contract Number:
AC02-76CH00016
Resource Type:
Conference
Resource Relation:
Conference: 1993 international summer school on fundamental problems in statistical mechanics,Altenberg (Germany),27 Jun - 10 Jul 1993; Other Information: PBD: [1993]
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ELECTRON CORRELATION; IMPURITIES; HIGH-TC SUPERCONDUCTORS; HAMILTONIANS; KONDO EFFECT; CORRELATION FUNCTIONS; PHASE TRANSFORMATIONS; 665411; BASIC SUPERCONDUCTIVITY STUDIES

Citation Formats

Emery, V.J., and Kivelson, S.A.. Dynamical impurity problems. United States: N. p., 1993. Web.
Emery, V.J., & Kivelson, S.A.. Dynamical impurity problems. United States.
Emery, V.J., and Kivelson, S.A.. Fri . "Dynamical impurity problems". United States. doi:. https://www.osti.gov/servlets/purl/10157485.
@article{osti_10157485,
title = {Dynamical impurity problems},
author = {Emery, V.J. and Kivelson, S.A.},
abstractNote = {In the past few years there has been a resurgence of interest in dynamical impurity problems, as a result of developments in the theory of correlated electron systems. The general dynamical impurity problem is a set of conduction electrons interacting with an impurity which has internal degrees of freedom. The simplest and earliest example, the Kondo problem, has attracted interest since the mid-sixties not only because of its physical importance but also as an example of a model displaying logarithmic divergences order by order in perturbation theory. It provided one of the earliest applications of the renormalization group method, which is designed to deal with just such a situation. As we shall see, the antiferromagnetic Kondo model is controlled by a strong-coupling fixed point, and the essence of the renormalization group solution is to carry out the global renormalization numerically starting from the original (weak-coupling) Hamiltonian. In these lectures, we shall describe an alternative route in which we identify an exactly solvable model which renormalizes to the same fixed point as the original dynamical impurity problem. This approach is akin to determining the critical behavior at a second order phase transition point by solving any model in a given universality class.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Fri Dec 31 00:00:00 EST 1993},
month = {Fri Dec 31 00:00:00 EST 1993}
}

Conference:
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