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

TL;DR

This paper uses advanced fPEPS calculations to study the 2D t-J model at 1/8 doping, revealing stable diagonal stripe patterns and suppressed superconductivity, providing insights into the model's ground state properties.

Contribution

It introduces a high-accuracy fPEPS approach combined with stochastic gradient descent and Monte Carlo sampling to analyze the t-J model at specific doping levels.

Findings

Stable diagonal stripes with width of 4 units and stripe filling of 0.5.

Ground state hole energy of -1.6186 at J/t=0.4.

Suppression of long-range superconductivity at this doping.

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 $E_{\rm hole}$=-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.