Huang Kevin S, Raghu S, Kumar Prashant
Stanford Institute for Theoretical Physics, Stanford University, Stanford, California 94305, USA.
Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA.
Phys Rev Lett. 2021 Feb 5;126(5):056802. doi: 10.1103/PhysRevLett.126.056802.
We study the critical properties of the noninteracting integer quantum Hall to insulator transition (IQHIT) in a "dual" composite-fermion (CF) representation. A key advantage of the CF representation over electron coordinates is that at criticality CF states are delocalized at all energies. The CF approach thus enables us to study the transition from a new vantage point. Using a lattice representation of CF mean-field theory, we compute the critical and multifractal exponents of the IQHIT. We obtain ν=2.56±0.02 and η=0.51±0.01, both of which are consistent with the predictions of the Chalker-Coddington network model formulated in the electron representation.
我们在“对偶”复合费米子（CF）表示中研究无相互作用整数量子霍尔到绝缘体转变（IQHIT）的临界性质。CF表示相对于电子坐标的一个关键优势在于，在临界点CF态在所有能量下都是离域的。因此，CF方法使我们能够从一个新的视角研究这种转变。使用CF平均场理论的晶格表示，我们计算了IQHIT的临界指数和多重分形指数。我们得到ν = 2.56±0.02和η = 0.51±0.01，这两者都与在电子表示中制定的查尔克 - 科丁顿网络模型的预测一致。
