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Condensed Matter > Mesoscale and Nanoscale Physics

Title:Mirror anomaly and anomalous Hall effect in type-I Dirac semimetals

Abstract: In addition to the well known chiral anomaly, Dirac semimetals have been argued to exhibit mirror anomaly, close analogue to the parity anomaly of ($2+1$)-dimensional massive Dirac fermions. The observable response of such anomaly is manifested in a singular step-like anomalous Hall response across the mirror-symmetric plane in the presence of a magnetic field. Although this result seems to be valid in type-II Dirac semimetals (strictly speaking, in the linearized theory), we find that type-I Dirac semimetals do not possess such an anomaly in anomalous Hall response even at the level of the linearized theory. In particular, we show that the anomalous Hall response continuously approaches zero as one approaches the mirror symmetric angle in a type-I Dirac semimetal as opposed to the singular Hall response in a type-II Dirac semimetal. Moreover, we show that, under certain condition, the anomalous Hall response may vanish in a linearized type-I Dirac semimetal, even in the presence of time reversal symmetry breaking.
Comments: 6 pages, 5 figures
Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
Journal reference: Phys. Rev. B 99, 075116 (2019)
DOI: 10.1103/PhysRevB.99.075116
Cite as: arXiv:1809.03530 [cond-mat.mes-hall]
  (or arXiv:1809.03530v2 [cond-mat.mes-hall] for this version)

Submission history

From: Snehasish Nandy [view email]
[v1] Mon, 10 Sep 2018 18:16:18 UTC (391 KB)
[v2] Mon, 8 Oct 2018 17:31:35 UTC (391 KB)