论文标题
从仪表/重力双重性的强烈相互作用和无序石墨烯的电导率结合
Conductivity bound of the strongly interacting and disordered graphene from gauge/gravity duality
论文作者
论文摘要
石墨烯中的载体靠近Dirac Point构想了强烈相互作用的流体的特征，并受到流体动力描述的影响。重要的问题是，强障碍是否在这种二维材料中诱导金属 - 绝缘体过渡。在单个电流描述中之前发现的电导率张量的结合意味着该系统不具有金属 - 绝缘体过渡。石墨烯的线性光谱施加了相位的约束，并要求对相互作用的电子和孔液体进行两流量描述。基于量规/重力对应关系，使用黑褐色的线性响应，在爱因斯坦 - 马克斯韦尔重力中与辅助u（1） - 高轨场（负责第二电流）中的平移对称性的线性响应，我们已经计算了Graphice模型的DC传导率的下限。计算表明，电导率上的绑定取决于u（1）字段之间的耦合以及在物理上合理的参数范围内，它仅与带有单个U（1）字段的模型的值相距很弱。
The carriers in graphene tuned close to the Dirac point envisage signatures of the strongly interacting fluid and are subject to hydrodynamic description. The important question is whether strong disorder induces the metal-insulator transition in this two-dimensional material. The bound on the conductivity tensor found earlier within the single current description, implies that the system does not feature metal-insulator transition. The linear spectrum of the graphene imposes the phase-space constraints and calls for the two-current description of interacting electron and hole liquids. Based on the gauge/gravity correspondence, using the linear response of the black brane with broken translation symmetry in Einstein-Maxwell gravity with the auxiliary U(1)-gauge field, responsible for the second current, we have calculated the lower bound of the DC-conductivity in holographic model of graphene. The calculations show that the bound on the conductivity depends on the coupling between both U(1) fields and for a physically justified range of parameters it departs only weakly from the value found for a model with the single U(1) field.
