フルヤ　シュンスケ   FURUYA Shunsuke   古谷　峻介    所属   埼玉医科大学  医学部 教養教育    職種   専任講師
論文種別	学術雑誌(原著)
言語種別	英語
査読の有無	査読あり
表題	Extraction of topological information in Tomonaga-Luttinger liquids
掲載誌名	正式名：PHYSICAL REVIEW B ISSNコード：2469-9950/2469-9969
出版社	AMER PHYSICAL SOC
巻・号・頁	99(7)
著者・共著者	Masaaki Nakamura,Shunsuke C. Furuya
発行年月	2019/02
概要	We discuss expectation values of the twist operator U appearing in the Lieb-Schultz-Mattis theorem (or the polarization operator for periodic systems) in excited states of the one-dimensional correlated systems Z(L)((q,+/-)) <Psi(+/-)(q/2)vertical bar U-q vertical bar Psi(+/-)(q/2)>, where vertical bar Psi(+/-)(p)> denotes the excited states given by linear combinations of momentum 2pk(F) with parity +/- 1. We found that Z(L)((q,)(+/-)) gives universal values +/- 1/2 on the Tomonaga-Luttinger (TL) fixed point, and its signs identify the topology of the dominant phases. Therefore, this expectation value changes between +/- 1/2 discontinuously at a phase transition point with the U(1) or SU(2) symmetric Gaussian universality class. This means that Z(L)((q,)(+/-)) extracts the topological information of TL liquids. We explain these results based on the freefermion picture and the bosonization theory, and also demonstrate them in several physical systems.
DOI	10.1103/PhysRevB.99.075128