连续和不连续拓扑量子相变
Continuous and discontinuous topological quantum phase transitions
摘要：
用无质量狄拉克费米子描述了三维空间中无相互作用的时间反演对称拓扑绝缘体和平凡绝缘体之间的连续量子相变。利用重整化群分析和平均场论理论讨论了该量子临界点在短程电子相互作用下的稳定性。对于足够的弱相互作用，我们表明，直接过渡的性质保持不变。超过临界强度的相互作用，我们发现，要么（i）有一个直接的一阶过渡之间的两个时间反演对称绝缘体或（ii）的直接过渡被消除的干预时间反演和反转奇数“axionic”绝缘体。我们还证明了在低维情况下拓扑态和平凡能隙态之间存在相互作用驱动的一阶量子相变。
英文摘要：
The continuous quantum phase transition between noninteracting, time-reversal symmetric topological and trivial insulators in three dimensions is described by the massless Dirac fermion. We address the stability of this quantum critical point against short range electronic interactions by using renormalization group analysis and mean field theory. For sufficiently weak interactions, we show that the nature of the direct transition remains unchanged. Beyond a critical strength of interactions we find that either (i) there is a direct first order transition between two time reversal symmetric insulators or (ii) the direct transition is eliminated by an intervening time reversal and inversion odd "axionic" insulator. We also demonstrate the existence of an interaction driven first order quantum phase transition between topological and trivial gapped states in lower dimensions.
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