Browsing by Author "Wu, Shao-Feng"

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Charged BTZ-like black hole solutions and the diffusivity-butterfly velocity relation
(2018-01-15)
Ge, Xian-Hui
;
Sin, Sang-Jin
;
Tian, Yu
;
Wu, Shao-Feng
;
Wu, Shang-Yu
We show that there exists a class of charged BTZ-like black hole solutions in Lifshitz spacetime with a hyperscaling violating factor. The charged BTZ black hole is characterized by a charge-dependent logarithmic term in the metric function. As concrete examples, we give five such charged BTZ-like black hole solutions and the standard charged BTZ metric can be regarded as a special instance of them. In order to check the recent proposed universal relations between diffusivity and the butterfly velocity, we first compute the diffusion constants of the standard charged BTZ black holes and then extend our calculation to arbitrary dimension d, exponents z and theta. Remarkably, the case d = theta and z = 2 is a very special in that the charge diffusion D-c is a constant and the energy diffusion D-e might be ill-defined, but v(B)(2)tau diverges. We also compute the di ff usion constants for the case that the DC conductivity is fi nite but in the absence of momentum relaxation.
Hyperscaling violating black hole solutions and magneto-thermoelectric DC conductivities in holography
(2017-08-28)
Ge, Xian-Hui
;
Tian, Yu
;
Wu, Shang-Yu
;
Wu, Shao-Feng
;
電子物理學系
We derive new black hole solutions in Einstein-Maxwell-axion-dilaton theory with a hyperscaling violation exponent. We then examine the corresponding anomalous transport exhibited by cuprate strange metals in the normal phase of high-temperature superconductors via gauge-gravity duality. Linear-temperature-dependence resistivity and quadratic-temperature-dependence inverse Hall angle can be achieved. In the high-temperature regime, the heat conductivity and Hall Lorenz ratio are proportional to the temperature. The Nernst signal first increases as temperature goes up, but it then decreases with increasing temperature in the high-temperature regime.
Linear and quadratic in temperature resistivity from holography
(2016-11-22)
Ge, Xian-Hui
;
Tian, Yu
;
Wu, Shang-Yu
;
Wu, Shao-Feng
;
電子物理學系
We present a new black hole solution in the asymptotic Lifshitz spacetime with a hyperscaling violating factor. A novel computational method is introduced to compute the DC thermoelectric conductivities analytically. We find that both the linear-T and quadratic-T contributions to the resistivity can be realized, indicating that a more detailed comparison with experimental phenomenology can be performed in this scenario.