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We study chiral symmetry restoration with increasing temperature and densityin gauge theories subject to mutually perpendicular electric and magneticfields using holography. We determine the chiral symmetry breaking phasestructure of the D3/D7 and D3/D5 systems in the temperature-density-electricfield directions. A magnetic field may break the chiral symmetry and anadditional electric field induces Ohm and Hall currents as well as restoringthe chiral symmetry. At zero temperature the D3/D5 system displays a line ofholographic BKT phase transitions in the density-electric field plane, whilethe D3/D7 system shows a mean-field phase transition. At intermediatetemperatures, the transitions in the density-electric field plane are of firstorder at low density, transforming to second order at critical points asdensity rises. At high temperature the transition is only ever first order.

the journal of high energy physics/the journal of high energy physics

Chiral phase transitions and quantum critical points of the D3/D7(D5)  system with mutually perpendicular E and B fields at finite temperature and  density