Nodal Arc in Disordered Dirac Fermions: Connection to Non-Hermitian Band Theory

Hiroki Isobe; Liang Fu; Micha{\l} Papaj

Nodal Arc in Disordered Dirac Fermions: Connection to Non-Hermitian Band Theory

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arxiv 1802.00443 v2 pith:KKJ7QLQF submitted 2018-02-01 cond-mat.dis-nn cond-mat.mes-hall

Micha{l} Papaj , Hiroki Isobe , Liang Fu This is my paper · ORCID

classification cond-mat.dis-nncond-mat.mes-hall

keywords diracdisorderednodalfermionorbitalsactsanalysisapproximation

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We show that Dirac fermion systems in two dimensions generally exhibit disorder-induced nodal arc replacing the nodal point and tilted Dirac cone, provided that the two components of the Dirac fermion correspond to two distinct orbitals unrelated by symmetry. This result is explicitly demonstrated using renormalization group analysis in a disordered Dirac model that we introduce, where the disorder potential acts differently on the two orbitals. As we show by numerical simulations and self-consistent Born approximation calculation, this drives the system into a new strongly disordered phase.

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