Abstract
Motivated by recent experimental progress in the context of ultracold multicolor fermionic atoms in optical lattices, we have investigated the properties of the Heisenberg chain with totally antisymmetric irreducible representations, the effective model of Mott phases with particles per site. These models have been studied for arbitrary and with non-Abelian bosonization [I. Affleck, Nucl. Phys. B 265, 409 (1986); I. Affleck, Nucl. Phys. B 305, 582 (1988)], leading to predictions about the nature of the ground state (gapped or critical) in most but not all cases. Using exact diagonalization and variational Monte Carlo based on Gutzwiller projected fermionic wave functions, we have been able to verify these predictions for a representative number of cases with and , and we have shown that the opening of a gap is associated to a spontaneous dimerization or trimerization depending on the value of and . We have also investigated the marginal cases where Abelian bosonization did not lead to any prediction. In these cases, variational Monte Carlo predicts that the ground state is critical with exponents consistent with conformal field theory.
3 More- Received 6 February 2015
- Revised 4 May 2015
DOI:https://doi.org/10.1103/PhysRevB.91.174427
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