论文标题
（2+1）维度中的转运共效力的重量法化组方程，源自ADS/CMT对应关系
A renormalisation group equation for transport co-efficients in (2+1)-dimensions derived from the AdS/CMT correspondence
论文作者
论文摘要
在ADS/CMT对应关系的框架内，在四个时空尺寸中渐近抗DE保姆黑洞可用于分析两个空间维度的传输性能。在该模型中得出了二维电导率的非线性肾额定组方程，并作为其应用的一个例子，在磁场存在下，在存在磁场的存在下研究了欧姆和霍尔DC和AC电导率，使用了Einstein-Maxwell方程在渐近广告中的散装二聚体解决方案，该解决方案均在磁场上进行。 $ {\ cal Q} $ - 回旋共振的系数显示会随着温度升高而降低，并且随着电荷密度的增加而增加，在固定磁场中增加了电荷密度。同样，随着温度降低，随着电荷密度的增加，共振时的耗散欧姆电导率会增加。该分析还涉及在ADS/CMT框架的背景下对压电效应的讨论。
Within the framework of the AdS/CMT correspondence asymptotically anti-de Sitter black holes in four space-time dimensions can be used to analyse transport properties in two space dimensions. A non-linear renormalisation group equation for the conductivity in two dimensions is derived in this model and, as an example of its application, both the Ohmic and Hall DC and AC conductivities are studied in the presence of a magnetic field, using a bulk dyonic solution of the Einstein-Maxwell equations in asymptotically AdS$_4$ space-time. The ${\cal Q}$-factor of the cyclotron resonance is shown to decrease as the temperature is increased and increase as the charge density is increased in a fixed magnetic field. Likewise the dissipative Ohmic conductivity at resonance increases as the temperature is decreased and as the charge density is increased. The analysis also involves a discussion of the piezoelectric effect in the context of the AdS/CMT framework.
