Persistent Currents in the Heisenberg chain with a weak link
Strongly Correlated Electrons
2009-11-07 v2
Abstract
The Heisenberg chain with a weak link is studied, as a simple example of a quantum ring with a constriction or defect. The Heisenberg chain is equivalent to a spinless electron gas under a Jordan-Wigner transformation. Using density matrix renormalization group and quantum Monte Carlo methods we calculate the spin/charge stiffness of the model, which determines the strength of the `persistent currents'. The stiffness is found to scale to zero in the weak link case, in agreement with renormalization group arguments of Eggert and Affleck, and Kane and Fisher.
Cite
@article{arxiv.cond-mat/0205140,
title = {Persistent Currents in the Heisenberg chain with a weak link},
author = {T. M. R. Byrnes and R. J. Bursill and H. -P. Eckle and C. J. Hamer and A. W. Sandvik},
journal= {arXiv preprint arXiv:cond-mat/0205140},
year = {2009}
}
Comments
14 pages, 7 figures, 2 tables, no changes to paper, author list changed on archive