Hyperscaling violating geometry with magnetic field and DC conductivity

Abstract

We consider dyonic black hole in hyperscaling violating Lifshitz theories arised in a four dimensional Einstein-Maxwell-dilaton system along with axion fields. Considering the linearised equation of relevant fluctuations in metric and gauge fields, we analytically compute thermoelectric conductivity of the dual theory using Dirichlet boundary condition and find agreement with conductivities obtained in near horizon analysis. We also study temperature dependence of the conductivities. *

New black holes with hyperscaling violation for the transports of quantum critical points with magnetic impurity

“…Or can we distinguish the QCP by looking its transport data? Therefore, much efforts have been given to the transport calculation in the context of the HSV geometries [31][32][33][34][35][36][37][38][39][40][41][42][43] which seem to be in 1-1 correspondence with the QCP's. However the magneto-thermal conductivity had not been calculated even after a few years of the discovery of exact solution that allows the presence of magnetic field in the context of HSV [39].…”

“…However the magneto-thermal conductivity had not been calculated even after a few years of the discovery of exact solution that allows the presence of magnetic field in the context of HSV [39]. The first result on the magneto-heat conductivity was obtained in very recent paper [42] but the result in the zero magnetic field limit does not seem to be reduced to the known result by a parameter dependent factor. It is also important to extract out the characters of QCP's, that is to examine the differences in behaviors of the transports for different QCP's, which is deeply hidden in the complexity of the transport formula.…”

Holographic Dissipative Properties of Non-relativistic Black Branes with Hyperscaling Violation

“…Note that for our case, b = −ω/2r 2 H . Substituting the expressions (34) back into the twopoint correlation function (22), we get…”

“…[9][10][11][12][13] where these phenomena are explained via numerical simulations; however, there seems to be a gap in literature for exact analytical approaches, as the usual perturbative methods are not applicable in this regime. Throughout this work, we investigate the electrically charged hyperscaling violating (hv ) Lifshitz-like black branes For studies regarding hv -spacetime structures, please refer to [14][15][16][17][18][19][20][21][22][23][24][25]. In fluid/gravity correspondence, the dynamic critical exponent z and the hv -factor θ play a vital role in both characterizing the properties of the bulk model and determining the scaling behavior of the observables in the dual scenario.…”

Quantum expression for the electrical conductivity of massless quark matter and of the hadron resonance gas in the presence of a magnetic field

“…[33,35] have studied electrical conductivities of quark matter in presence of magnetic field in lowest Landau level approximation, which happens in strong field limit. In holographic systems, conductivity in presence of magnetic field have also been studied [20,[37][38][39].…”