[Seminar] Emergence of topological gauge theories from coupled arrays of wires - coupled-wire construction demystified by Professor Keisuke Totsuka

[Seminar]

Title:  Emergence of topological gauge theories from coupled arrays of wires

-- coupled-- wire construction demystified

Speaker: Professor Keisuke Totsuka

Institution: Kyoto University

Abstract

Despite the proposals of various topological states of matter, it is not fully

understood how we can realize those states in physical settings.

In this respect, the coupled-wire construction [1,2] provides an interesting approach. 

Namely, it gives recipes of constructing two and three-dimensional topological

phases starting from an array of wires of interacting quantum particles. 

Normally, the construction focuses only on the edge states that are usually

thought of as the indicator of the topological states in question

and the non-trivial topological properties in the bulk are non considered.

In this talk, we carefully consider the bulk properties in the coupled-wire construction

and show that non-trivial Chern-Simons gauge theories emerge in the bulk.

Remarkably, the mechanism is analogous to the gauge-field description of

frustrated magnets.  We also give the coupled-wire recipe for all the two-dimensional

Abelian topological phases characterized by K-matrices. 

References

[1] C.L. Kane, R. Mukhopadhyay, and T.C. Lubensky, Phys.Rev.Lett. 88, 036401 (2002)

[2] J.C.Y. Teo and C.L. Kane, Phys.Rev.B 89, 085101 (2014)

[3] Y. Imamura and K. Totsuka, in preparation

Biography

1996           Ph.D from Univ. of Tokyo

1996-1999  PostDoc at RIKEN

1999-2000  PostDoc at Kyushu Univ,

2000-2001  PostDoc at ITP, Univ Hannover

2001-2003  Aoyama Gakuin Univ.

2003--         Yukawa Institute for Theoretical Physics, Kyoto Univ.