We consider the properties of an integer quantum Hall effect state at filling factor one of the lowest Landau level in presence of an anisotropic Coulomb interaction potential. We adopt a disk geometry and calculate analytically the energy per particle corresponding to a system in the thermodynamic limit. It is found that the main effect of this particular anisotropic Coulomb interaction potential is an overall increase of the energy. The energy of the state at filling factor one in presence of this anisotropic Coulomb interaction potential can be scaled to that of the isotropic Coulomb counterpart by a scaling function tuned by the interaction anisotropy parameter.

我们考虑在存在各向异性库仑相互作用势的情况下，最低填充系数之一的填充因子下的整数量子霍尔效应状态的性质。我们采用磁盘几何形状，并在热力学极限内分析计算与系统相对应的每个粒子的能量。已经发现，这种特定的各向异性库仑相互作用势的主要作用是能量的整体增加。在存在各向异性库仑相互作用势的情况下，填充因子为1的状态的能量可以通过由相互作用各向异性参数调整的缩放函数缩放为各向同性库仑对应物的能量。