Topological phase transition underpinning particle-hole symmetry in the Halperin-Lee-Read theory

Article

关键词: FILLED LANDAU-LEVELS;    INSULATOR TRANSITION;    GAUGE NONINVARIANCE;    MAGNETIC-FIELD;    2+1 DIMENSIONS;    GROUND-STATE;    HALL;    LIQUID;    CONDUCTIVITY;    FERMIONS;   

DOI  :  10.1103/PhysRevB.98.115105

来源: SCIE

【 摘 要 】

Long wavelength descriptions of a half-filled lowest Landau level (nu = 1/2) must be consistent with the experimental observation of particle-hole (PH) symmetry. The traditional description of the nu = 1/2 state pioneered by Halperin, Lee, and Read (HLR) naively appears to break PH symmetry. However, recent studies have shown that the HLR theory with weak quenched disorder can exhibit an emergent PH symmetry. We find that such inhomogeneous configurations of the nu = 1/2 fluid, when described by HLR mean-field theory, are tuned to a topological phase transition between an integer quantum Hall state and an insulator of composite fermions with a dc Hall conductivity sigma((cf))(xy) = -1/2e(2)/h. Our observations help explain why the HLR theory exhibits PH symmetric dc response.

【 授权许可】

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