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Lattice reconstruction in twisted transition-metal dichalcogenide (TMD) bilayers gives rise to piezo- and ferroelectric moir\'e potentials for electrons and holes, as well as a modulation of the hybridisation across the bilayer. Here, we…

Mesoscale and Nanoscale Physics · Physics 2021-09-30 S. J. Magorrian , V. V. Enaldiev , V. Zólyomi , Fábio Ferreira , Vladimir I. Fal'ko , David A. Ruiz-Tijerina

We construct a multi-band Hubbard model on the lattice obtained by "decorating" a closely packed $d$-dimensional lattice $\mathcal{M}$ (such as the triangular lattice) where $d\ge2$. We take the limits in which the Coulomb interaction and…

Strongly Correlated Electrons · Physics 2016-05-04 Akinori Tanaka , Hal Tasaki

Moir\'e superlattices have emerged as a premier platform for simulating the Hubbard model, yet achieving high tunability in square-lattice systems remains a key challenge. We demonstrate that $\Gamma$-valley twisted square homobilayers…

Mesoscale and Nanoscale Physics · Physics 2026-03-25 Rui Shi , Kejie Bao , Huan Wang , Jing Wang

We demonstrate a generic mechanism to realize topological flat minibands by confining massive Dirac fermions in a periodic moir\'e potential, which can be achieved in a heterobilayer of transition metal dichalcogenides. We show that the…

Mesoscale and Nanoscale Physics · Physics 2022-10-28 Ying Su , Heqiu Li , Chuanwei Zhang , Kai Sun , Shi-Zeng Lin

The recent observation of correlated phases in transition metal dichalcogenide moir\'e systems at integer and fractional filling promises new insight into metal-insulator transitions and the unusual states of matter that can emerge near…

The Hubbard model is a "highly oversimplified model" for electrons in a solid which interact with each other through extremely short ranged repulsive (Coulomb) interaction. The Hamiltonian of the Hubbard model consists of two pieces; H_hop…

Strongly Correlated Electrons · Physics 2008-02-03 Hal Tasaki

Twisted van der Waals heterostructures have recently been proposed as a condensed-matter platform for realizing controllable quantum models due to the low-energy moir\'e bands with specific charge distributions in moir\'e superlattices.…

A detailed study of electronic phase transitions in the ionic Hubbard model at half filling is presented. Within the dynamical mean field approximation a series of transitions from the band insulator via a metallic state to a Mott-Hubbard…

Strongly Correlated Electrons · Physics 2009-11-13 L. Craco , P. Lombardo , R. Hayn , G. I. Japaridze , E. Müller-Hartmann

Stacking two-dimensional (2D) van der Waals materials with different interlayer atomic registry in a heterobilayer causes the formation of a long-range periodic superlattice that may bestow the heterostructure with exotic properties such as…

Transition metal dichalcogenide (TMD) bilayers have recently emerged as a robust and tunable moir\'e system for studying and designing correlated electron physics. In this work, by combining large-scale first principle calculation and…

Strongly Correlated Electrons · Physics 2020-12-30 Yang Zhang , Noah F. Q. Yuan , Liang Fu

We investigate the Mott transition in the Kagom\'e lattice Hubbard model using a cluster extension of dynamical mean field theory. The calculation of the double occupancy, the density of states, the static and dynamical spin correlation…

Strongly Correlated Electrons · Physics 2009-11-11 Takuma Ohashi , Norio Kawakami , Hirokazu Tsunetsugu

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

Motivated by recent experiments realizing correlated phenomena and superconductivity in 2D van der Waals devices, we consider the general problem of whether correlation effects may be enhanced by modifying band structure while keeping a…

Strongly Correlated Electrons · Physics 2019-06-19 Edwin W. Huang , Mohammad-Sadegh Vaezi , Zohar Nussinov , Abolhassan Vaezi

Moir\'e materials formed in two-dimensional semiconductor heterobilayers are quantum simulators of Hubbard-like physics with unprecedented electron-density and interaction-strength tunability. Compared to atomic scale Hubbard-like systems,…

Strongly Correlated Electrons · Physics 2022-09-07 Nicolás Morales-Durán , Nai Chao Hu , Pawel Potasz , Allan H. MacDonald

Moire systems offer an exciting playground to study many-body effects of strongly correlated electrons in regimes that are not easily accessible in conventional material settings. Motivated by a recent experiment on…

Strongly Correlated Electrons · Physics 2023-06-07 Kyungmin Lee , Prakash Sharma , Oskar Vafek , Hitesh J. Changlani

In this paper, we studied a generalized Bose-Hubbard model on a checkerboard lattice with topologically nontrivial flat-band. We used mean-field method to decouple the model Hamiltonian and obtained phase diagram by Landau theory of…

Quantum Gases · Physics 2015-06-05 Xing-Hai Zhang , Su-Peng Kou

We investigate the disordered flat-band superconductivity within the attractive Hubbard model on the kagome lattice by contrasting the flat-band-preserving disorder [Phys. Rev. B 98, 235109 (2018)] with the random hopping disorder that…

Superconductivity · Physics 2026-01-06 Jicheol Kim , Dong-Hee Kim

Motivated by twisted transition metal dichalcogenides (TMDs), we study an extended Hubbard model with both on-site and off-site repulsive interactions, in which Mott insulating states with concomitant charge order occur at fractional…

Strongly Correlated Electrons · Physics 2025-07-10 Zhenhao Song , Urban F. P. Seifert , Leon Balents , Hong-Chen Jiang

We present a theoretical study of single-particle and many-body properties of twisted bilayer WSe$_2$. For single-particle physics, we calculate the band topological phase diagram and electron local density of states (LDOS), which are found…

Strongly Correlated Electrons · Physics 2020-07-29 Haining Pan , Fengcheng Wu , Sankar Das Sarma

In this work, we study a slave-rotor mean-field theory of an extended Hubbard model, applicable to transition metal dichalcogenide moir\'e systems, that captures both the formation of Wigner crystals as well as exotic spin states on top of…

Strongly Correlated Electrons · Physics 2025-07-10 Zhenhao Song , Urban F. P. Seifert , Zhu-Xi Luo , Leon Balents
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