Competing Valence Bond States of Spin-3/2 Fermions on a Strongly Coupled Ladder
arXiv:1406.7087 · doi:10.1103/PhysRevB.90.245135
Abstract
We study the possible ground state configurations of two strongly coupled chains of charge neutral spin-3/2 fermionic atoms interacting via short range van der Waals interaction. The coupling between the two chains is realized by relatively large hopping amplitude. Exploiting that such a ladder configuration can be mapped to an effective one-band model we analyze the emerging ground states of the system. We show that various spatially inhomogeneous states, valence bond states, plaquette states compete depending on the filling and the ratio of the interaction strengths in the singlet and quintet scattering channel. We find that a Luttinger liquid state is the ground state of the strongly coupled ladder in an extended region of the parameter space, and we also show that a topologically nontrivial charge Haldane state can emerge in the strongly coupled ladder at quarter and three-quarter fillings.
9 pages, 8 figures
References in corpus (8)
- Many-Body Physics with Ultracold Gases
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Competing orders in one dimensional spin 3/2 fermionic systems
- Hidden symmetry and quantum phases in spin-3/2 cold atomic systems
- Néel and Spin-Peierls ground states of two-dimensional SU(N) quantum antiferromagnets
- Exact spontaneous plaquette ground states for high-spin ladder models
- Confinement vs Deconfinement of Cooper Pairs in One-Dimensional Spin-3/2 Fermionic Cold Atoms
- Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model