INFLUENCE OF A UNIFORM MAGNETIC FIELD ON DYNAMICAL CHIRAL SYMMETRY BREAKING IN QED₃

Abstract

We study dynamical chiral symmetry breaking (DCSB) in an effective QED 3 theory of d-wave high temperature cuprate superconductors under a uniform magnetic field. At zero temperature, the external magnetic field induces a mixed state by generating vortices in the condensate of charged holons. The growing magnetic field suppresses the superfluid density and thus reduces the gauge field mass which is opened via the Anderson-Higgs mechanism. By numerically solving the Dyson-Schwinger gap equation, we show that the massless fermions acquires a dynamical gap through DCSB mechanism when the magnetic field strength H is above a critical value H c and the fermion flavors N is below a critical value N c . Further, it is found that both N c and the dynamical fermion gap increase as the magnetic field H grows. It is expected that our result can be tested in phenomena in high temperature cuprate superconductors.

Different critical points of chiral and deconfinement phase transitions in (2 + 1)-dimensional fermion–gauge interacting model

“…and ζ is the gauge boson mass which is acquired though Higgs mechanism which happens when the gauge field interacts with a scalar filed in the phase with spontaneous gauge symmetry breaking (Here, we adopt the massive boson propagator to investigate the oscillation behavior of Schwinger function in DCSB phase, more details about Higgs mechanism in QED 3 can be found in Ref. [20,22]).…”