TY - JOUR
T1 - Change of Hall conductance induced by band crossing
AU - Lee, Ming Yi
AU - Chang, Ming Che
AU - Hong, Tzay Ming
PY - 1998
Y1 - 1998
N2 - We investigate the change of Hall conductance induced by band crossing in the Hofstadter spectrum. Numerical study shows that, if the magnetic flux is (Formula presented) flux quanta per plaquette, then the change of the Hall conductance is (Formula presented) or 0, depending on whether the energy dispersion near degenerate points is linear or quadratic. This is consistent with an earlier study by Bellissard (cond-mat/9504030, unpublished). We also find that the change of the Hall conductance is accompanied by the “transport” of a daughter subband between the degenerate parent bands. A semiclassical explanation of this subtle effect is offered.
AB - We investigate the change of Hall conductance induced by band crossing in the Hofstadter spectrum. Numerical study shows that, if the magnetic flux is (Formula presented) flux quanta per plaquette, then the change of the Hall conductance is (Formula presented) or 0, depending on whether the energy dispersion near degenerate points is linear or quadratic. This is consistent with an earlier study by Bellissard (cond-mat/9504030, unpublished). We also find that the change of the Hall conductance is accompanied by the “transport” of a daughter subband between the degenerate parent bands. A semiclassical explanation of this subtle effect is offered.
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U2 - 10.1103/PhysRevB.57.11895
DO - 10.1103/PhysRevB.57.11895
M3 - Article
AN - SCOPUS:0012366582
SN - 1098-0121
VL - 57
SP - 11895
EP - 11898
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 19
ER -