TY - JOUR
T1 - Berry phase, hyperorbits, and the Hofstadter spectrum
AU - Chang, Ming Che
AU - Niu, Qian
PY - 1995
Y1 - 1995
N2 - We develop a semiclassical theory for the dynamics of electrons in a magnetic Bloch band, where the Berry phase plays an important role. This theory, together with the Boltzmann equation, provides a framework for studying transport problems in high magnetic fields. We also derive an Onsager-like formula for the quantization of cyclotron orbits, and we find a connection between the number of orbits and Hall conductivity. This connection is employed to explain the clustering structure of the Hofstadter spectrum. The advantage of this theory is its generality and conceptual simplicity.
AB - We develop a semiclassical theory for the dynamics of electrons in a magnetic Bloch band, where the Berry phase plays an important role. This theory, together with the Boltzmann equation, provides a framework for studying transport problems in high magnetic fields. We also derive an Onsager-like formula for the quantization of cyclotron orbits, and we find a connection between the number of orbits and Hall conductivity. This connection is employed to explain the clustering structure of the Hofstadter spectrum. The advantage of this theory is its generality and conceptual simplicity.
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U2 - 10.1103/PhysRevLett.75.1348
DO - 10.1103/PhysRevLett.75.1348
M3 - Article
AN - SCOPUS:0001428945
SN - 0031-9007
VL - 75
SP - 1348
EP - 1351
JO - Physical Review Letters
JF - Physical Review Letters
IS - 7
ER -