Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-08-03
Phys.Rev.B83:014418,2011
Physics
Condensed Matter
Quantum Gases
10 Revtex pages, 5 figures; (v2) corrected the last paragraph in Appendix B and some typos; (v3) added references, extended di
Scientific paper
10.1103/PhysRevB.83.014418
We study the magnetic phase diagram of spin-3/2 fermions in a spatially anisotropic square optical lattice at quarter filling (corresponding to one particle per lattice site). In the limit of the large on-site repulsion the system can be mapped to the so-called Sp(N) Heisenberg spin model with N=4. We analyze the Sp(N) spin model with the help of the large-N field-theoretical approach and show that the effective theory corresponds to the Sp(N) extension of the CP^{N-1} model, with the Lorentz invariance generically broken. We obtain the renormalization flow of the model couplings and show that although the Sp(N) terms are seemingly irrelevant, their presence leads to a renormalization of the CP^{N-1} part of the action, driving a phase transition. We further consider the influence of the external magnetic field (the quadratic Zeeman effect), and present the qualitative analysis of the ground state phase diagram.
Kolezhuk Alexei K.
Vekua Temo
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