Fig. 5
From: Topological phases of extended Su-Schrieffer-Heeger-Hubbard model
CP-AFQMC results of the extended interacting SSH model at the half-filling, where \(J_{1}=J_{3}=0.1\). (a) Spin correlation \(\langle S_{z,j}S_{z,k}\rangle\) with \(\Delta _{J_{33}-J_{11}}=0.7\), exhibiting topological edge states at the \(2_{nd}\) and \((N-1)_{th}\) sites. (b) Spin correlation with \(\Delta _{J_{33}-J_{11}}=0.1\), showing a long-range anti-ferromagnetic order. (c) Spin correlation with \(\Delta _{J_{33}-J_{11}}=-0.7\), and there are bulk dimers without topological edge states. (d) The Rényi entropy between subsystem \(A=[2_{nd}, (N-1)_{th}]\) sites and the remaining part \(\overline{A}\); (Su-Schrieffer) The Rényi entropy with \(A=[1_{st}, N_{th}]\) sites. (f) The Rényi entropy with \(A=[1_{st}, 2_{nd}, (N-1)_{th}, N_{th}]\) sites. The formation of dimers leads to a decrease in Rényi entropy.
