# A single-channel Kondo impurity in the large s limit

### APA

Krishnan, A. (2024). A single-channel Kondo impurity in the large s limit. Perimeter Institute. https://pirsa.org/24030110

### MLA

Krishnan, Abijith. A single-channel Kondo impurity in the large s limit. Perimeter Institute, Mar. 13, 2024, https://pirsa.org/24030110

### BibTex

@misc{ pirsa_PIRSA:24030110, doi = {10.48660/24030110}, url = {https://pirsa.org/24030110}, author = {Krishnan, Abijith}, keywords = {Condensed Matter}, language = {en}, title = {A single-channel Kondo impurity in the large s limit}, publisher = {Perimeter Institute}, year = {2024}, month = {mar}, note = {PIRSA:24030110 see, \url{https://pirsa.org}} }

Abijith Krishnan Massachusetts Institute of Technology (MIT)

## Abstract

The single-channel Kondo impurity problem is a classic example of strongly coupled physics. In the Kondo problem, a single magnetic impurity is placed in a metal — the resulting system exhibits interesting properties such as a resistance minimum as a function of temperature. The problem was solved by Wilson’s numerical renormalization group and later by the Bethe ansatz technique. The Bethe ansatz exactly diagonalizes the Kondo hamiltonian for arbitrary impurity spin $s$ and numerically computes the impurity free energy for all temperatures. In this talk, I’ll present an alternate analytic solution for the Kondo problem at large $s$ that builds on recent results in boundary conformal field theory. This solution allows us to access analytically intermediate scales of the Kondo problem at large $s$; our results in this regime agree with the numeric results of the Bethe ansatz.

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