强耦合下的欧姆定律:S对偶性和回旋共振
Ohm's Law at strong coupling: S duality and the cyclotron resonance
摘要:
利用反de Sitter空间方法计算了一类强相互作用2+1维共形场论的电导率、热导率和热电系数.我们得到这些输运系数作为电荷密度,背景磁场,温度和频率的函数。我们表明,导热系数和热电系数是由电导率单独决定。在小频率下,在流体力学极限下,我们能够提供一些电导率的解析公式。电导率的一个主要特征是回旋加速器极的存在。我们展示了体电磁对偶性如何作用于输运系数。
英文摘要:
We calculate the electrical and thermal conductivities and the thermoelectric coefficient of a class of strongly interacting 2+1 dimensional conformal field theories with anti-de Sitter space duals. We obtain these transport coefficients as a function of charge density, background magnetic field, temperature and frequency. We show that the thermal conductivity and thermoelectric coefficient are determined by the electrical conductivity alone. At small frequency, in the hydrodynamic limit, we are able to provide a number of analytic formulae for the electrical conductivity. A dominant feature of the conductivity is the presence of a cyclotron pole. We show how bulk electromagnetic duality acts on the transport coefficients.
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