论文标题
通过全息图确定石墨烯在量子临界点的动力学指数
Determination of Dynamical exponents of Graphene at quantum critical point by holography
论文作者
论文摘要
我们通过全息方法计算出具有两个保守电流的理论的传输,并将其与石墨烯数据进行比较,以确定其动态指数的$(z,θ)$,该指数表征了QCP。结果,我们发现,如果我们假设$(z,θ)=(3/2,1)$,而不是$(1,0)$,则电导率数据和热导率数据可以更自然地拟合。此外,我们发现,如果我们使用$(3/2,1)$,则可以在高温下的热电功率数据,但根本不使用$(1,0)$。 $θ= 1 $结果可以解释为考虑到电子的费米斯性质,$ z = 3/2 $可以通过强相互作用将其解释为扁平的频段。
We calculate the transport of a theory with two conserved currents by holographic method and compare it with graphene data to determine its dynamical exponents $(z,θ)$ which characterizes a QCP. As a result, we find that the electric and the thermal conductivity data can be fit much more naturally if we assume $(z,θ)=(3/2,1)$ rather than $(1,0)$. Furthermore, we find that thermoelectric power data at high temperature can be fit if we use $(3/2,1)$ but not at all by $(1,0)$. The $θ=1$ result can be interpreted as taking into account the fermionic nature of the electrons and $z=3/2$ can be interpreted as the flattened band by the strong interaction.