Dynamical impurity problems

Conference · Fri Dec 31 04:00:00 EST 1993

OSTI ID:10157485

Emery, V J ^[1]; Kivelson, S A ^[2]

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1. Brookhaven National Lab., Upton, NY (United States)
2. California Univ., Los Angeles, CA (United States). Dept. of Physics

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.

• Research Organization: Brookhaven National Lab., Upton, NY (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States); National Science Foundation, Washington, DC (United States)
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 10157485
• Report Number(s): BNL--60297; CONF-9306338--1; ON: DE94013025; CNN: Grant DMR-93-12606
• Country of Publication: United States
• Language: English

Related Subjects

665411
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BASIC SUPERCONDUCTIVITY STUDIES
CORRELATION FUNCTIONS
ELECTRON CORRELATION
HAMILTONIANS
HIGH-TC SUPERCONDUCTORS
IMPURITIES
KONDO EFFECT
PHASE TRANSFORMATIONS