Metal-insulator transition in transition metal dichalcogenide heterobilayer: accurate treatment of interaction

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Autori principali: Yang, Yubo, Morales, Miguel, Zhang, Shiwei
Natura: Preprint
Pubblicazione: 2023
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author Yang, Yubo
Morales, Miguel
Zhang, Shiwei
author_facet Yang, Yubo
Morales, Miguel
Zhang, Shiwei
contents Transition metal dichalcogenide superlattices provide an exciting new platform for exploring and understanding a variety of phases of matter. The moiré continuum Hamiltonian, of two-dimensional jellium in a modulating potential, provides a fundamental model for such systems. Accurate computations with this model are essential for interpreting experimental observations and making predictions for future explorations. In this work, we combine two complementary quantum Monte Carlo (QMC) methods, phaseless auxiliary field quantum Monte Carlo and fixed-phase diffusion Monte Carlo, to study the ground state of this Hamiltonian. We observe a metal-insulator transition between a paramagnetic and a $120^\circ$ Néel ordered state as the moiré potential depth and the interaction strength are varied. We find significant differences from existing results by Hartree-Fock and exact diagonalization studies. In addition, we benchmark density-functional theory, and suggest an optimal hybrid functional which best approximates our QMC results.
format Preprint
id arxiv_https___arxiv_org_abs_2306_14954
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Metal-insulator transition in transition metal dichalcogenide heterobilayer: accurate treatment of interaction
Yang, Yubo
Morales, Miguel
Zhang, Shiwei
Strongly Correlated Electrons
Materials Science
Transition metal dichalcogenide superlattices provide an exciting new platform for exploring and understanding a variety of phases of matter. The moiré continuum Hamiltonian, of two-dimensional jellium in a modulating potential, provides a fundamental model for such systems. Accurate computations with this model are essential for interpreting experimental observations and making predictions for future explorations. In this work, we combine two complementary quantum Monte Carlo (QMC) methods, phaseless auxiliary field quantum Monte Carlo and fixed-phase diffusion Monte Carlo, to study the ground state of this Hamiltonian. We observe a metal-insulator transition between a paramagnetic and a $120^\circ$ Néel ordered state as the moiré potential depth and the interaction strength are varied. We find significant differences from existing results by Hartree-Fock and exact diagonalization studies. In addition, we benchmark density-functional theory, and suggest an optimal hybrid functional which best approximates our QMC results.
title Metal-insulator transition in transition metal dichalcogenide heterobilayer: accurate treatment of interaction
topic Strongly Correlated Electrons
Materials Science
url https://arxiv.org/abs/2306.14954