Publication Type |
Journal Article |
School or College |
College of Science |
Department |
Physics |
Creator |
Wu, Yong-Shi |
Other Author |
Hatsugai, Yasuhiro; Kohmoto, Mahito |
Title |
Quantum group, Bethe ansatz equations, and Bloch wave functions in magnetic fields |
Date |
1996-04 |
Description |
The wave functions for a two-dimensional Bloch electron in uniform magnetic fields at the mid-band points are studied by exploiting a connection to the quantum group Uq(sl2): A linear combination of its generators gives the Hamiltonian. We apply both analytic and numerical methods to obtain and analyze the wave functions, by solving the functional Bethe ansatz equations first proposed by Wiegmann and Zabrodin on the basis of the above observation. The semiclassical case with the flux per plaquette f51/Q is analyzed in detail, by exploring a structure of the Bethe ansatz equations. We also reveal the multifractal structure of the solutions to Bethe ansatz equations and corresponding wave functions when f is irrational, such as the golden or silver mean. |
Type |
Text |
Publisher |
American Physical Society |
Journal Title |
Physical Review B |
Volume |
53 |
Issue |
15 |
First Page |
9697 |
Last Page |
9712 |
DOI |
10.1103/PhysRevB.53.9697 |
citatation_issn |
0163-1829 |
Subject |
Bloch electron |
Subject LCSH |
Wave functions; Bethe-ansatz technique; Magnetic fields |
Language |
eng |
Bibliographic Citation |
Hatsugai, Y., Kohmoto, M., & Wu, Y.-S. (1996). Quantum group, Bethe ansatz equations, and Bloch wave functions in magnetic fields. Physical Review B - Condensed Matter and Materials Physics, 53(15), 9697-712, |
Rights Management |
(c) American Physical Society http://dx.doi.org/10.1103/PhysRevB.53.9697 |
Format Medium |
application/pdf |
Format Extent |
439,991 bytes |
Identifier |
ir-main,9459 |
ARK |
ark:/87278/s6x92vdg |
Setname |
ir_uspace |
ID |
702596 |
Reference URL |
https://collections.lib.utah.edu/ark:/87278/s6x92vdg |