Wj. Zheng et al., PHENOMENOLOGICAL UNDERSTANDING OF A TRANSPORT REGIME WITH REFLECTION SYMMETRY IN THE QUANTUM HALL SYSTEM IN A COMPOSITE-FERMION PICTURE, Physical review. B, Condensed matter, 58(11), 1998, pp. 6740-6743
In this paper, we present a phenomenological picture based on the comp
osite fermion theory, in response to the recent discovery by Shahar et
al. [Science 274, 589 (1996)] of a transport regime near the transiti
on from a v=1 quantum Hall liquid to a Hall insulator. In this picture
, the seemingly unexpected reflection symmetry in the longitudinal res
istivity rho(xx) can be understood clearly as due to the symmetry of t
he gap excitations which dominate sigma(xx) across the transition, and
the abrupt change in sigma(xy) at the transition. The parameter alpha
in the linear fit of v(0)(T) of Shahar et al. is also given a simple
physical meaning, and the effective mass can be calculated from alpha,
which gives a reasonable value of several-electron band mass. When ta
king into account the result of network model, the almost invariant Ha
ll resistivity rho(xy) across the transition is also well understood.