2020/05/31 by Bo Xing, Wei-ting Chiu, Dario Poletti +2 · 2 citations
Physics and Astronomy · #cond-mat.str-el #cond-mat.quant-gas
paper · pdf · doi:10.1103/physrevlett.126.017601
published as Phys. Rev. Lett. 126, 017601 (2021) · 5 pages, 7 figures
arxiv created 2020/06/24 · arxiv updated 2021/01/13
Over the last several years, a new generation of quantum simulations has greatly expanded our understanding of charge density wave phase transitions in Hamiltonians with coupling between local phonon modes and the on-site charge density. A quite different, and interesting, case is one in which the phonons live on the bonds, and hence modulate the electron hopping. This situation, described by the Su-Schrieffer-Heeger (SSH) Hamiltonian, has so far only been studied with quantum Monte Carlo in one dimension. Here we present results for the 2D SSH model, and show that a bond ordered wave (BOW) insulator is present in the ground state at half-filling, and argue that a critical value of the electron-phonon coupling is required for its onset, in contradistinction with the 1D case where BOW exists for any nonzero coupling. We determine the precise nature of the bond ordering pattern, which has hitherto been controversial, and the critical transition temperature, which is associated with a spontaneous breaking of \cal Z4 symmetry.