2017/10/31 by Akishi Matsugatani, Yuri Ishiguro, Ken Shiozaki +1
Physics and Astronomy · #cond-mat.str-el #cond-mat.other #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.120.096601
published as Phys. Rev. Lett. 120, 096601 (2018) · 5+13 pages, 3+6 figures; v3: minor edits, to appear in Physical Review Letters
arxiv created 2018/02/23 · arxiv updated 2018/03/08
Understanding the interplay between the topological nature and the symmetry property of interacting systems has been a central matter of condensed matter physics in recent years. In this Letter, we establish nonperturbative constraints on the quantized Hall conductance of many-body systems with arbitrary interactions. Our results allow one to readily determine the many-body Chern number modulo a certain integer without performing any integrations, solely based on the rotation eigenvalues and the average particle density of the many-body ground state.