Parity anomaly with impurities and the Pauli--Villars subtraction
arXiv:2305.11972 · doi:10.1103/PhysRevD.108.105001
Abstract
We calculate the anomalous part of the polarization tensor of Dirac fermions in dimensions in the presence of impurities described by the scattering rate for arbitrary external frequency and momenta. We consider two different versions of the Pauli--Villars subtractions and discuss their physical consequences.
Revtex, 19 pages
References in corpus (19)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
- A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
- Topological Field Theory of Time-Reversal Invariant Insulators
- Quantized Anomalous Hall Effect in Magnetic Topological Insulators
- Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
- Quantum Spin Hall Effect in Inverted Type II Semiconductors
- Quantum Anomalous Hall Effect in HgMnTe Quantum Wells
- Giant Faraday rotation in single- and multilayer graphene
- Unusual Microwave Response of Dirac Quasiparticles in Graphene
- Excitonic gap, phase transition, and quantum Hall effect in graphene
- Faraday rotation in graphene
- Planar QED at finite temperature and density: Hall conductivity, Berry's phases and minimal conductivity of graphene
- The Casimir effect in topological matter
- The Casimir effect in chiral media using path integral techniques
- No parity anomaly in massless QED3: a BPHZL approach
- Signature of parity anomaly in the measurement of optical Hall conductivity in quantum anomalous Hall systems
- Half-integer anomalous currents in 2D materials from a QFT viewpoint