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      Fermionic condensate and the vacuum energy-momentum tensor for planar fermions in homogeneous electric and magnetic fields

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          Abstract

          We consider a massive fermionic quantum field localized on a plane in external constant and homogeneous electric and magnetic fields. The magnetic field is perpendicular to the plane and the electric field is parallel. The complete set of solutions to the Dirac equation is presented. As important physical characteristics of the vacuum state, the fermion condensate and the expectation value of the energy-momentum tensor are investigated. The renormalization is performed using the Hurwitz function. The results are compared with those previously studied in the case of zero electric field. We discuss the behavior of the vacuum expectation values in different regions for the values of the problem parameters. Applications of the results include the electronic subsystem of graphene sheet described by the Dirac model in the long-wavelength approximation.

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          Author and article information

          Journal
          20 June 2023
          Article
          2306.11402
          03cef5f8-f253-4cb1-a593-ef137611b0c6

          http://creativecommons.org/licenses/by/4.0/

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          Custom metadata
          11 pages, 3 figures
          hep-th cond-mat.mes-hall quant-ph

          Quantum physics & Field theory,High energy & Particle physics,Nanophysics
          Quantum physics & Field theory, High energy & Particle physics, Nanophysics

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