全息法测定石墨烯量子临界点的动力学指数
Determination of Dynamical exponents of Graphene at quantum critical point by holography
摘要：
用全息方法计算了双守恒流理论的输运，并与石墨烯的数据进行了比较，确定了表征QCP的动力学指数$(z,θ)$。结果表明，采用$(z,θ)=(3/2,1)$而不是$(1,0)$，电导率和热导率的拟合更加自然.此外，我们发现用$(3/2,1)$可以拟合高温下的热电势数据，而用$(1,0)$则不能。$θ=1$结果可以解释为考虑了电子的费米子性质，而$z=3/2$可以解释为强相互作用导致的平坦带。
英文摘要：
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.
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