论文标题

电子系统和新兴拓扑阶段的超级级相变

Superradiant phase transition in electronic systems and emergent topological phases

论文作者

Guerci, Daniele, Simon, Pascal, Mora, Christophe

论文摘要

我们得出一个通用标准,用于确定与腔场相连的电子带中的超级相变的发作,可能具有电子电子相互作用。对于2D或真正的1D系统中的纵向超级,我们证明它始终被阻止,从而扩展了现有的无定理。取而代之的是,可以通过Fermi表面嵌套或抛物线带触摸在非相互作用模型中进行特定的示例,而我们在非相互作用模型中提供了特定的例子。研究了由此产生的时间逆向对称性破坏超级态,我们在以前的情况下发现了Fermi表面,在方形晶格模型上升至四个狄拉克点,具有拓扑保护的零模式,在后一种情况下,在甲状腺晶状体上具有非零晶体数量。

We derive a general criterion for determining the onset of superradiant phase transition in electronic bands coupled to a cavity field, with possibly electron-electron interactions. For longitudinal superradiance in 2D or genuine 1D systems, we prove that it is always prevented, thereby extending existing no-go theorems. Instead, a superradiant phase transition can occur to a nonuniform transverse cavity field and we give specific examples in non-interacting models, either through Fermi surface nesting or parabolic band touching. Investigating the resulting time-reversal symmetry breaking superradiant states, we find in the former case Fermi surface lifting down to four Dirac points on a square lattice model, with topologically protected zero-modes, and in the latter case topological bands with non-zero Chern number on an hexagonal lattice.

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