Current Carrying Ground State in a Bi-layer Model

TL;DR

This paper demonstrates the existence of a staggered interlayer current phase in a bi-layer model using sign-problem-free quantum Monte Carlo simulations, revealing competing phases like charge density waves.

Contribution

It introduces a novel bi-layer model exhibiting a current-carrying ground state and employs an advanced Monte Carlo algorithm to conclusively demonstrate this phase.

Findings

Existence of a staggered interlayer current phase

Competition among current, singlet, and charge density wave phases

Use of sign-problem-free quantum Monte Carlo methods

Abstract

Strongly interacting systems have been conjectured to spontaneously develop current carrying ground states under certain conditions. We conclusively demonstrate the existence of a commensurate staggered interlayer current phase in a bi-layer model by using the recently discovered quantum Monte-Carlo algorithm without the sign problem. A pseudospin SU(2) algebra and the corresponding anisotropic spin-1 Heisenberg model are constructed to show the competition among the staggered interlayer current, rung singlet and charge density wave phases.