Armchair graphene nanoribbons: PT-symmetry breaking and exceptional points without dissipation

Abstract

We consider a single layer graphene nanoribbon with armchair edges in a longitudinally constant external potential and point out that its transport properties can be described by means of an effective non-Hermitian Hamiltonian. We show that this system has some features typical of dissipative systems, namely the presence of exceptional points and of PT-symmetry breaking, although it is not dissipative.

arXiv comment5 pages, 2 eps figures

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Cited by in corpus (18)

• High-performance solution of the transport problem in a graphene armchair structure with a generic potential
• Non-Hermitian interferometer: Unidirectional amplification without distortion
• 1/f noise in graphene
• Direct Imaging of Coherent Quantum Transport in Graphene Heterojunctions
• Optical conductivity of curved graphene
• Exceptional points for chiral Majorana fermions in arbitrary dimensions
• Symmetry-dependent transport behavior of graphene double dots
• Information and thermodynamic properties of a non-Hermitian particle ensemble
• Exceptional point description of one-dimensional chiral topological superconductors/superfluids in BDI class
• PT phase transition in multidimensional quantum systems
• Sinc-based method for an efficient solution in the direct space of quantum wave equations with periodic boundary conditions
• $PT$-symmetric graphene under a magnetic field
• Negative-energy PT-symmetric Hamiltonians
• WKB Analysis of PT-Symmetric Sturm-Liouville problems
• Counting Majorana bound states using complex momenta
• Universal spectral behavior of $x^2(ix{)}^{\epsilon }$ potentials
• Pseudo Hermitian interactions in the Dirac Equation
• Treating Ostrogradski instability for Gallilean invariant Chern Simon's model via \mathcal{PT} symmetry