Tunable Stripe Order and Weak Superconductivity in the Moir\'e Hubbard Model

TL;DR

This paper investigates the moiré Hubbard model in twisted transition metal dichalcogenides, revealing tunable magnetic, charge, and superconducting phases through advanced numerical methods, highlighting potential for experimental realization of weak superconductivity.

Contribution

It introduces a detailed analysis of the moiré Hubbard model showing tunable phases and weak superconductivity, using exact diagonalization and DMRG methods.

Findings

Identification of magnetic Mott insulating and metallic phases.

Observation of charge and spin orderings upon doping.

Potential for weak superconductivity in certain regimes.

Abstract

The moir\'e Hubbard model describes correlations in certain homobilayer twisted transition metal dichalcogenides. Using exact diagonalization and density matrix renormalization group methods, we find magnetic Mott insulating and metallic phases, which, upon doping exhibit intertwined charge and spin ordering and, in some regimes, pair binding of holes. The phases are highly tunable via an interlayer potential difference. Remarkably, the hole binding energy is found to be highly tunable revealing an experimentally accessible regime where holes become attractive. In this attractive regime, we study the superconducting correlation function and point out the possibility of weak superconductivity.