Dynamical impurity problems
- Brookhaven National Lab., Upton, NY (United States)
- 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; TRN: 94:012934
- 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
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