Open AccessQUANTUM HALL EFFECT AND BERRY PHASE FACTOR
Author(s) -
Chen Cheng-Ming,
Quan Zhang
Publication year - 1991
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.40.345
Subject(s) - geometric phase , berry connection and curvature , berry , physics , adiabatic process , degenerate energy levels , quantum hall effect , filling factor , condensed matter physics , phase (matter) , quantum mechanics , quantum , electron , botany , biology
The concept of Berry's phase factor in adiabatic process is generalized to degenerate systems, the relation between the quantum Hall effect and Berry's phase factor is studied. It is shown that the quantum Hall conductance σH is really a special Berry's phase factor, and thus has the same geometrical properties.