Exact duality relations in correlated electron systems

Details Exact duality relations in correlated electron systems Exact duality relations in correlated electron systems

2003-10-24

arxiv.org/abs/cond-mat/0310574v2

Phys. Rev. Lett. 91, 256405 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 2 figures, references updated

Scientific paper

10.1103/PhysRevLett.91.256405

Using gauge transformations on electron bond operators, we derive exact duality relations between various order parameters for correlated electron systems. Applying these transformations, we find two duality relations in the generalized two-leg Hubbard ladder at arbitrary filling. The relations show that unconventional density-wave orders such as staggered flux or circulating spin-current are dual to conventional density-wave orders and there are direct mappings between dual phases. Several exact results on the phase diagram are also concluded.

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