TY - JOUR
T1 - Aharonov-Bohm effect in higher genus materials
AU - Sasaki, K.
AU - Kawazoe, Y.
AU - Saito, R.
N1 - Funding Information:
K.S. wishes to thank Dr. T. Tani for fruitful discussion. He is supported by a fellowship of 21st century COE program of international center of research and education for materials of Tohoku university. R.S. acknowledges a Grant-in-Aid (No. 13440091) from the Ministry of Education, Japan.
PY - 2004/2/16
Y1 - 2004/2/16
N2 - Flux periodicity of conducting electrons on a closed surface with genus two g=2 (double torus) is investigated theoretically. We examine flux periodicity of the ground-state energy and of the wave functions as a function of applied magnetic field. A fundamental flux period of the ground-state energy is twice a fundamental unit of magnetic flux for uniformly applied magnetic field, which is shown to be valid for a simple ladder geometry and carbon double torus. Flux periodicity of the wave functions in a double torus is complicate as compared with a simple torus (g=1), and an adiabatic addition of magnetic fluxes does not provide a good quantum number for the energy eigenstates. The results are extended to higher genus materials and the implications of the results are discussed.
AB - Flux periodicity of conducting electrons on a closed surface with genus two g=2 (double torus) is investigated theoretically. We examine flux periodicity of the ground-state energy and of the wave functions as a function of applied magnetic field. A fundamental flux period of the ground-state energy is twice a fundamental unit of magnetic flux for uniformly applied magnetic field, which is shown to be valid for a simple ladder geometry and carbon double torus. Flux periodicity of the wave functions in a double torus is complicate as compared with a simple torus (g=1), and an adiabatic addition of magnetic fluxes does not provide a good quantum number for the energy eigenstates. The results are extended to higher genus materials and the implications of the results are discussed.
UR - http://www.scopus.com/inward/record.url?scp=1042301010&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=1042301010&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2003.11.061
DO - 10.1016/j.physleta.2003.11.061
M3 - Article
AN - SCOPUS:1042301010
VL - 321
SP - 369
EP - 375
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 5-6
ER -