Persistent Currents in the Heisenberg chain with a weak link

Details Persistent Currents in the Heisenberg chain with a weak link Persistent Currents in the Heisenberg chain with a weak link

2002-05-08

arxiv.org/abs/cond-mat/0205140v2

Phys. Rev. B 66, 195313 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

14 pages, 7 figures, 2 tables, no changes to paper, author list changed on archive

Scientific paper

10.1103/PhysRevB.66.195313

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.

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