[165KB]RESEARCH
The Hall conductivity is quantized in the QHE, which is characterized by a topological invariant, i.e., the Chern number. We have proposed an efficient method of computing the Chern numeber numerically in the discretized Brillouin zone. This is the first work of me in this area of research. Since then, I have been working on quantum spin Hall effect and topological insulator/superconductor system, mainly from a mathematical point of view.
It is known that topological insulators/superconductors are classified by the ten universality classes. Recently, it has been shown that zero-modes associated with a various kinds of topological defects are classified in a similar way. These zero modes, which obey fractional statistics, have been attracting much current interest, since they can be used for topological quantum computations. I am planning to explore the index theorem, which is a rigorous mathematical theorem, for Majorana zero modes in a superconductor.
EDUCATION
- 1987
- B. Sc. Kyoto University, Faculty of Science
- 1989
- M. S. Kyoto University, Department of Physics
- 1992
- Ph. D. Kyoto University, Department of Physics
PROFESSIONAL EXPERIENCE
- 1992-1999
- Pos doc at many institutes
- 1999-2006
- Associate Professor, Faculty of Science, Ibaraki University
- 2006-Present
- Professor, Faculty of Science, Ibaraki University
SELECTION OF PUBLICATIONS
"Z2 index theorem for Majorana zero modes in a class D topological superconductor",
T. Fukui and T. Fujiwara,
Phys. Rev. 82, 184536 (2010).
"Majorana zero modes bound to a vortex line in a topological superconductor",
T. Fukui,
Phys. Rev. B 81, 214516 (2010).
"Topological stability of Majorana zero-modes in superconductor-topological insulator systems",
T. Fukui and T. Fujiwara,
J. Phys. Soc. Jpn. 79, 033701 (2010).
"Chern numbers in discretized Brillouin zone: Efficient method of computing (spin) Hall conductance",
T. Fukui, Y. Hatsugai, and H. Suzuki,
J. Phys. Soc. Jpn, 74, 1674 (2005).
