Competing orders in the generalized Hund chain model at half-filling

Details Competing orders in the generalized Hund chain model at half-filling Competing orders in the generalized Hund chain model at half-filling

2010-06-19

arxiv.org/abs/1006.3884v2

Phys. Rev. B 82, 155134 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

26 pages, 14 figures

Scientific paper

10.1103/PhysRevB.82.155134

By using a combination of several non-perturbative techniques -- a one-dimensional field theoretical approach together with numerical simulations using density matrix renormalization group -- we present an extensive study of the phase diagram of the generalized Hund model at half-filling. This model encloses the physics of various strongly correlated one-dimensional systems, such as two-leg electronic ladders, ultracold degenerate fermionic gases carrying a large hyperfine spin 3/2, other cold gases like Ytterbium 171 or alkaline-earth condensates. A particular emphasis is laid on the possibility to enumerate and exhaust the eight possible Mott insulating phases by means of a duality approach. We exhibit a one-to-one correspondence between these phases and those of the two-leg Hubbard ladder with interchain hopping. Our results obtained from a weak coupling analysis are in remarkable quantitative agreement with our numerical results carried out at moderate coupling.

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