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Related papers: Hubbard model physics in transition metal dichalco…

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We present a comprehensive dynamical mean field study of the triangular lattice moir\'e Hubbard model, which is believed to represent the physics of moir\'e bilayer transition metal dichalcogenides. In these materials, important aspects of…

Strongly Correlated Electrons · Physics 2022-06-28 Jiawei Zang , Jie Wang , Jennifer Cano , Antoine Georges , Andrew J. Millis

We theoretically study a generalized Hubbard model on moir\'e superlattices of twisted bilayers, and find very rich filling-factor-dependent quantum phase diagrams tuned by interaction strength and twist angle. Strong long-range Coulomb…

Strongly Correlated Electrons · Physics 2020-11-11 Haining Pan , Fengcheng Wu , Sankar Das Sarma

Twisted bilayers of two-dimensional materials, such as twisted bilayer graphene, often feature flat electronic bands that enable the observation of electron correlation effects. In this work, we study the electronic structure of twisted…

Materials Science · Physics 2021-05-18 Valerio Vitale , Kemal Atalar , Arash A. Mostofi , Johannes Lischner

Twisted homobilayer transition metal dichalcogenides - specifically twisted bilayer MoTe$_2$ and twisted bilayer WSe$_2$ - have recently emerged as a versatile platform for strongly correlated and topological phases of matter. These…

Strongly Correlated Electrons · Physics 2026-03-10 Bohao Li , Wen-Xuan Qiu , Fengcheng Wu , A. H. MacDonald

Mott-Hubbard and Hund electron correlations have been realized thus far in separate classes of materials. Here, we show that a single moir\'e homobilayer encompasses both kinds of physics in a controllable manner. We develop a microscopic…

Strongly Correlated Electrons · Physics 2023-01-26 Siheon Ryee , Tim O. Wehling

We propose a two-orbital Hubbard model on an emergent honeycomb lattice to describe the low-energy physics of twisted bilayer graphene. Our model provides a theoretical basis for studying metal-insulator transition, Landau level degeneracy…

Strongly Correlated Electrons · Physics 2018-07-31 Noah F. Q. Yuan , Liang Fu

Ultraflatbands that have been theoretically and experimentally detected in a bunch of van der Waals stacked materials showing some peculiar properties, for instance, highly localized electronic states and enhanced electron-electron…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Zhen Zhan , Yipei Zhang , Pengfei Lv , Hongxia Zhong , Guodong Yu , Francisco Guinea , Jose Angel Silva-Guillen , Shengjun Yuan

The mechanism of Mott transition in the Hubbard model on the square lattice is studied without explicit introduction of magnetic and superconducting correlations, using a variational Monte Carlo method. In the trial wave functions, we…

Strongly Correlated Electrons · Physics 2015-05-27 Tomoaki Miyagawa , Hisatoshi Yokoyama

It has recently been shown that quantum-confined states can appear in epitaxially grown van der Waals material heterobilayers without a rotational misalignment ($\theta=0^\circ$), associated with flat bands in the Brillouin zone of the…

Single-orbital Hubbard models exhibit remarkably nontrivial correlation phenomena, even on nonfrustrated bipartite lattices. Some of these, like non-Fermi-liquid metal states, or the coexistence of heavy and light quasi-particles, are…

Strongly Correlated Electrons · Physics 2025-04-01 Philipp Werner , Sayed Ali Akbar Ghorashi

The moir\'e pattern induced by lattice mismatch in transition-metal dichalcogenide heterobilayers causes the formation of flat bands, where interactions dominate the kinetic energy. At fractional fillings of the flat valence band, the…

Strongly Correlated Electrons · Physics 2023-12-07 Yuting Tan , Pak Ki Henry Tsang , Vladimir Dobrosavljević , Louk Rademaker

Square lattice Hubbard models with tunable hopping ratio $t'/t$ are highly promising for realizing a variety of quantum phases and for shedding light on key puzzles in correlated quantum materials, including higher-temperature…

Strongly Correlated Electrons · Physics 2025-06-17 P. Myles Eugenio , Zhu-Xi Luo , Ashvin Vishwanath , Pavel A. Volkov

The Hubbard model, first formulated by physicist John Hubbard in the 1960s, is a simple theoretical model of interacting quantum particles in a lattice. The model is thought to capture the essential physics of high-temperature…

Moir\'e superlattices in van der Waals heterostructures provide a tunable platform to study emergent properties that are absent in the natural crystal form. Twisted bilayer transition metal dichalcogenides (TB-TMDs) can host moir\'e flat…

Mesoscale and Nanoscale Physics · Physics 2021-09-27 En Li , Jin-Xin Hu , Xuemeng Feng , Zishu Zhou , Liheng An , Kam Tuen Law , Ning Wang , Nian Lin

The interplay of charge, spin, lattice, and orbital degrees of freedom leads to a wide range of emergent phenomena in strongly correlated systems. In heterobilayer transition metal dichalcogenide moir\'e systems, recent observations of Mott…

Novel superconducting phases have been found in various moir\'e heterostructures based on hexagonal lattices. However, the archetypal high-temperature superconductors (cuprates, iron-based and nickelate families) all share a square lattice…

Strongly Correlated Electrons · Physics 2026-03-13 Toshikaze Kariyado , Yusuf Wicaksono , Ashvin Vishwanath , Pavel Volkov , Zhu-Xi Luo

A half-filled-band Hubbard model on an anisotropic triangular lattice (t in two bond directions and t' in the other) is studied using an optimization variational Monte Carlo method, to consider the Mott transition and superconductivity…

Superconductivity · Physics 2009-11-11 Tsutomu Watanabe , Hisatoshi Yokoyama , Yukio Tanaka , Jun-ichiro Inoue

The doped Hubbard model is one of the paradigmatic platforms to engineer exotic quantum many-body states, including charge-ordered states, strange metals and unconventional superconductors. While undoped and doped correlated phases have…

Strongly Correlated Electrons · Physics 2025-02-04 Xin Huang , Jose L. Lado , Jani Sainio , Peter Liljeroth , Somesh Chandra Ganguli

We present a systematic theoretical study on the structural and electronic properties of twisted trilayer transition metal dichalcogenide (TMD) WSe$_2$, where two independent moir\'e patterns form between adjacent layers. Using a continuum…

Mesoscale and Nanoscale Physics · Physics 2025-12-19 Naoto Nakatsuji , Takuto Kawakami , Hayato Tateishi , Koichiro Kato , Mikito Koshino

We introduce and study a minimum two-orbital Hubbard model on a triangular lattice, which captures the key features of both the trilayer ABC-stacked graphene-boron nitride heterostructure and twisted transition metal dichalcogenides in a…

Strongly Correlated Electrons · Physics 2019-07-17 Constantin Schrade , Liang Fu