非阿贝尔光晶格中Dirac点的相互作用诱导合并
Interaction induced mergence of Dirac points in Non-Abelian optical lattices
摘要：
研究了正方形光晶格中超冷费米气体在经典非阿贝尔规范场作用下的性质。我们计算了系统的能谱，表明在一定强度的现场相互作用下，能谱中的Dirac点将保持相当稳定。一旦现场相互作用变得比临界值更强，狄拉克点将不再稳定，并合并成一个单一的混合点。这种合并意味着从半金属相到带绝缘体的量子相变。在现有的实验中，超冷费米子之间的在位相互作用可以通过费什巴赫共振来方便地控制。我们认为，在超冷费米气体实验中可能观察到这种显著的相互作用引起的狄拉克点的合并。
英文摘要：
We study the properties of an ultracold Fermi gas loaded in a square optical lattice and subjected to an external and classical non-Abelian gauge field. We calculate the energy spectrum of the system and show that the Dirac points in the energy spectrum will remain quite stable under onsite interaction of certain strength. Once the on-site interaction grows stronger than a critical value, the Dirac points will no longer be stable and merge into a single hybrid point. This mergence implies a quantum phase transition from a semimetallic phase to a band insulator. The on-site interaction between ultracold fermions could be conveniently controlled by Feshbach resonances in current experiments. We proposed that this remarkable interaction induced mergence of Dirac points may be observed in the ultracold fermi gas experiments.
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