Critical behavior at the integer quantum Hall transition in a network model on the kagome lattice

Article

关键词: MAGNETIC-FIELD;    SCALING THEORY;    ELECTRON;    DELOCALIZATION;    PERCOLATION;    STATISTICS;   

DOI  :  10.1103/PhysRevB.102.121304

来源: SCIE

【 摘 要 】

We study a network model on the kagome lattice (NMKL). This model generalizes the Chalker-Coddington network model for the integer quantum Hall transition. Unlike random network models we studied earlier, the geometry of the kagome lattice is regular. Therefore, we expect that the critical behavior of the NMKL should be the same as that of the Chalker-Coddington model. We numerically compute the localization length index v in the NKML. Our result nu = 2.658 +/- 0.046 is close to Chalker-Coddington model values obtained in a number of recent papers. We also map the NMKL to the Dirac fermions in random potentials and in a fixed periodic curvature background. The background turns out irrelevant at long scales. Our numerical and analytical results confirm our expectation of the universality of critical behavior on regular network models.

【 授权许可】

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