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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 perform a renormalized mean-field study of the two-dimensional repulsive Hubbard model, focusing on the intricate interplay and possible coexistence of magnetic, charge, and superconducting orders. We improve on conventional mean-field…

Strongly Correlated Electrons · Physics 2026-02-24 Robin Scholle , Pietro M. Bonetti , Walter Metzner , Demetrio Vilardi

Moir\'e superlattices formed by transition metal dichalcogenide (TMD) heterobilayers provide a versatile platform for studying strongly correlated electronic, excitonic, and topological phenomena in solids. In particular, angle-aligned…

A simple yet paradigmatic model for the interplay of strong electronic correlations and geometric frustration is the triangular lattice Hubbard model. Recently it was proposed that moir\'e structures of transition metal dichalcogenides can…

Strongly Correlated Electrons · Physics 2022-10-05 Nico Gneist , Laura Classen , Michael M. Scherer

Unidirectional ("stripe") charge-density-wave order has now been established as a ubiquitous feature in the phase diagram of the cuprate high temperature (HT) superconductors, where it generally competes with superconductivity (SC).…

Strongly Correlated Electrons · Physics 2022-02-16 Hong-Chen Jiang , Steven A. Kivelson

Experimental demonstrations of tunable correlation effects in magic-angle twisted bilayer graphene have put two-dimensional moir\'e quantum materials at the forefront of condensed-matter research. Other twisted few-layer graphitic…

Strongly Correlated Electrons · Physics 2021-08-27 Michael M. Scherer , Dante M. Kennes , Laura Classen

Bilayer Moir\'e structures are a highly tunable laboratory to investigate the physics of strongly correlated electron systems. Moir\'e transition metal dichalcogenides at low-energies, in particular, are believed to be described by a single…

Superconductivity · Physics 2022-11-29 Mehdi Biderang , Mohammad-Hossein Zare , Jesko Sirker

We study the phase diagram of a one-dimensional Hubbard model where, in addition to the standard nearest neighbor hopping $t$, we also include a next-to-nearest neighbor hopping $t'$. For strong enough on-site repulsion, this model has a…

Condensed Matter · Physics 2009-10-28 Michele Fabrizio

Motivated by recent experimental studies that have found signatures of a correlated insulator phase and tuning superconductivity in twisted bilayer graphene, we study the temperature-dependent conductivity, the spin correlation and the…

Strongly Correlated Electrons · Physics 2020-04-22 Wanying Chen , Yonghuan Chu , Tongyun Huang , Tianxing Ma

Flexible long period moir\' e superlattices form in two-dimensional van der Waals crystals containing layers that differ slightly in lattice constant or orientation. In this Letter we show theoretically that isolated flat moir\' e bands…

Mesoscale and Nanoscale Physics · Physics 2018-07-12 Fengcheng Wu , Timothy Lovorn , Emanuel Tutuc , A. H. MacDonald

Twisted bilayer transition metal dichalcogenides have emerged as important model systems for the investigation of correlated electron physics because their interaction strength, carrier concentration, band structure, and inversion symmetry…

Strongly Correlated Electrons · Physics 2021-09-01 Jiawei Zang , Jie Wang , Jennifer Cano , Andrew J. Millis

The search for artificial topological superconductivity has been limited by the stringent conditions required for its emergence. As exemplified by the recent discoveries of various correlated electronic states in twisted van der Waals…

Mesoscale and Nanoscale Physics · Physics 2022-01-14 Shawulienu Kezilebieke , Viliam Vaňo , Md N. Huda , Markus Aapro , Somesh Chandra Ganguli , Peter Liljeroth , Jose L. Lado

Strong electron-electron interaction can induce Mott insulating state, which is believed to host unusual correlated phenomena such as quantum spin liquid when quantum fluctuation dominates and unconventional superconductivity through…

Strongly Correlated Electrons · Physics 2025-04-24 Qiang Gao , Haiyang Chen , Wen-shin Lu , Yang-hao Chan , Zhenhua Chen , Yaobo Huang , Zhengtai Liu , Peng Chen

In the ionic Hubbard model, the onsite repulsion $U$, which drives a Mott insulator and the ionic potential $V$, which drives a band insulator, compete with each other to open up a window of charge fluctuations when $U \sim V$. We study…

Strongly Correlated Electrons · Physics 2017-01-04 Abhisek Samanta , Rajdeep Sensarma

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

The emergence of high transition temperature (Tc) superconductivity in strongly correlated materials remains a major unsolved problem in physics. High-Tc materials, such as cuprates, are generally complex and not easily tunable, making…

Experiments on twisted double bilayer tungsten diselenide have demonstrated that moir'e semiconductors can realize a relativistic Mott transition, i.e., a quantum phase transition from a Dirac semimetal to a correlated insulating state, by…

Mesoscale and Nanoscale Physics · Physics 2025-11-05 Bilal Hawashin , Julian Kleeschulte , David Kurz , Aiman Al-Eryani , Michael M. Scherer

We show that many observable properties of high temperature superconductors can be obtained in the frameworks of one-dimensional self-consistent model with included superconducting correlations. Analytical solutions for spin, charge and…

Strongly Correlated Electrons · Physics 2016-08-31 S. I. Matveenko

Moir\'e superlattices formed from transition metal dichalcogenides (TMDs) have been shown to support a variety of quantum electronic phases that are highly tunable using applied electromagnetic fields. While the valley character of the…

Recent experimental progress has established the twisted bilayer transition metal dichalcogenide (TMD) as a highly tunable platform for studying many-body physics. Particularly, the homobilayer TMDs under displacement field are believed to…

Strongly Correlated Electrons · Physics 2023-11-14 Feng Chen , D. N. Sheng