# A DMRG Study of Superconductivity in the Triangular Lattice Hubbard Model

## TL;DR

This study uses DMRG to explore superconductivity in the hole-doped triangular lattice Hubbard model, revealing a transition from p-wave to d-wave pairing as interaction strength varies, relevant for Moiré superlattice systems.

## Contribution

It provides the first detailed DMRG analysis of superconducting channels in the hole-doped triangular lattice Hubbard model, highlighting a tunable transition between p-wave and d-wave superconductivity.

## Key findings

- Transition from p-wave to d-wave superconductivity with increasing U/t
- Superconducting pairing symmetry depends on doping level and interaction strength
- Potential realization of the transition in Moiré superlattice systems

## Abstract

With the discovery of strong coupling physics and superconductivity in Moir\'e superlattices, it's essential to have an understanding of strong coupling driven superconductivity in systems with trigonal symmetry. The simplest lattice model with trigonal symmetry is the triangular lattice Hubbard model. Although the triangular lattice spin model is a heavily studied model in the context of frustration, studies of the hole-doped triangular lattice Hubbard model are rare. Here we use density matrix renormalization group (DMRG) to investigate the domininant superconducting channels in the hole-doped triangular lattice Hubbard model over a range of repulsive interaction strengths. We find a clear transition from $p$-wave superconductivity at moderate on-site repulsion strength ($U/t = 2$) at filling above 1/4 ($n \sim 0.65$) to $d$-wave superconductivity at strong on-site repulsion strength ($U/t = 10$) at filling below 1/4 ($n \sim 0.4$). The unusual tunability that Moir\'e superlattices offer in controlling $U/t$ would open up the opportunity to realize this transition between $d$-wave and $p$-wave superconductivity.