Topological gauge theory for mixed Dirac stationary states in all dimensions

Autor:	Huang, Ze-Min, Sun, Xiao-Qi, Diehl, Sebastian
Rok vydání:	2021
Předmět:	Condensed Matter - Statistical Mechanics Condensed Matter - Mesoscale and Nanoscale Physics Quantum Physics
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevB.106.245204
Popis:	We derive the universal real time $U(1)$ topological gauge field action for mixed quantum states of weakly correlated fermions in all dimensions, and demonstrate its independence of the underlying equilibrium or non-equilibrium nature of dynamics stabilizing the state. The key prerequisites are charge quantization and charge conservation. The gauge action encodes non-quantized linear responses as expected for mixed states, but also quantized non-linear responses, associated to mixed state topology and accessible in experiment. Our construction furthermore demonstrates how the physical pictures of anomaly inflow and bulk-boundary correspondence extend to non-equilibrium systems. Comment: 6+16 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.06891 Zobrazit plný text záznamu View this record from Arxiv