Duality relations and exotic orders in electronic ladder systems

Details Duality relations and exotic orders in electronic ladder systems Duality relations and exotic orders in electronic ladder systems

2004-12-22

arxiv.org/abs/cond-mat/0412610v1

J. Phys. Soc. Jpn. 74 Suppl., 226 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages, 2 figures; Proceedings of SPQS2004 (Sendai)

Scientific paper

We discuss duality relations in correlated electronic ladder systems to clarify mutual relations between various conventional and unconventional phases. For the generalized two-leg Hubbard ladder, we find two exact duality relations, and also one asymptotic relation which holds in the low-energy regime. These duality relations show that unconventional (exotic) density-wave orders such as staggered flux or circulating spin-current are directly mapped to conventional density-wave orders, which establishes the appearance of various exotic states with time-reversal and/or spin symmetry breaking. We also study duality relations in the SO(5) symmetry that was proposed to unify antiferromagnetism and d-wave superconductivity. We show that the same SO(5) symmetry also unifies circulating spin current order and s-wave superconductivity.

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