Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-12-08
Physics
Condensed Matter
Quantum Gases
Scientific paper
Motivated by recent experiments carried out by Esslinger's group at ETH [arXiv:1111.5020], we developed the local effective field theories to describe the universal properties of the topological quantum critical points in non-Abelian honeycomb optical lattice. We find that the ETH experiments, which manipulate Dirac points by changing the lattice anisotropy, can be realized in adjusting synthetic non-Abelian gauge potentials. From the effective metric tensor, which is induced by non-Abelian gauge potentials, we have identified two different types of local effective field theories. In one effective field theory the Fermi surface is a Dirac point, the short range Hubbard-like interactions are irrelevant and the collective modes are all damped. In the other effective field theory the Fermi surface is a nodal line, where there emerge a dimension crossover which leads to the short range Hubbard-like interactions being marginal and the collective modes being undamped.
Fan Heng
Jiang Shao-Jian
Liu Wei-Min
Sun Fa-Di
Yu Xiao-Lu
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