Stable diagonal stripes in the t-J model at ${\bar{n}}_h$=1/8 doping from fPEPS calculations

Abstract

We investigate the 2D t-J model at a hole doping of ${\bar{n}}_h$=1/8 using recently developed high accuracy fermionic projected entangled pair states(fPEPS) method. By applying stochastic gradient descent method combined with Monte Carlo sampling technique, we obtain the ground state hole energy $E_{\mathrm{hole}}$=-1.6186 for $J/t$=0.4. We show that the ground state has stable diagonal stripes instead of vertical stripes with width of 4 unit cells, and stripe filling ${\rho }_l$=0.5. We further show that the long range superconductivity order is suppressed at this point.