Configuration entropy for N-Dirac fermions with dissipation and external field: An effective-mass phase transition

Abstract

Dirac fermions in solid state are defined through a homogeneous dispersion relation of degree one. Consequently, the group velocity, having a superior bound, becomes invariant under spatial scaling. This fact allows considering the dynamics of a family or set of Dirac fermions at different spatial dimensions and subjected to an external field and dissipation. From the degeneration of the stationary states, the non-Hermitian dynamics allows defining the configuration entropy. With the applied external field being the control parameter, an inflection point becomes associated with entropy. Consequently, an effective-mass phase transition is conjectured including the usual Dirac fermions in a graphene sheet. The critical field and the critical angle are analytically calculated.