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Quantum particles on a lattice with competing long-range interactions are ubiquitous in physics. Transition metal oxides, layered molecular crystals and trapped ion arrays are a few examples out of many. In the strongly interacting regime,…

Strongly Correlated Electrons · Physics 2020-12-02 Yang Xu , Song Liu , Daniel A Rhodes , Kenji Watanabe , Takashi Taniguchi , James Hone , Veit Elser , Kin Fai Mak , Jie Shan

Motivated by the recent experimental developments in van der Waals heterostructures, we investigate the emergent magnetism in Mott insulator - semimetal moir\'e superlattices by deriving effective spin models and exploring their phase…

Strongly Correlated Electrons · Physics 2024-11-05 M. A. Keskiner , Pouyan Ghaemi , M. Ö. Oktel , Onur Erten

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

Using a realistic band structure for twisted WSe$_2 $ materials, we develop a theory for the interaction-driven correlated insulators to conducting metals transitions through the tuning of the filling factor around commensurate fractional…

Strongly Correlated Electrons · Physics 2021-08-25 Haining Pan , Sankar Das Sarma

Moir\'e materials provide an ideal platform for exploring quantum phases of matter. However, solving the many-electron problem in moir\'e systems is challenging due to strong correlation effects. We introduce a powerful variational…

Strongly Correlated Electrons · Physics 2024-06-26 Di Luo , David D. Dai , Liang Fu

Moir\'e superlattices of van der Waals materials, such as twisted graphene and transitional metal dichalcogenides, have recently emerged as a fascinating platform to study strongly correlated states in two dimensions, thanks to the strong…

In condensed-matter physics, electronic Mott insulators have triggered considerable research due to their intricate relation with high-temperature superconductors. However, unlike atomic systems for which Mott phases were recently shown for…

Quantum Gases · Physics 2022-03-09 Camille Lagoin , Stephan Suffit , Kirk Baldwin , Loren Pfeiffer , Francois Dubin

In a solid material strong interactions between the electrons can lead to surprising properties. A prime example is the Mott insulator, where the suppression of conductivity is a result of interactions and not the consequence of a filled…

Other Condensed Matter · Physics 2010-01-21 Robert Jördens , Niels Strohmaier , Kenneth Günter , Henning Moritz , Tilman Esslinger

Motivated by systems that can be seen as composed of two frustrated sublattices combined into a less frustrated total lattice, we study the double-exchange model with nearest-neighbor (NN) and next--nearest-neighbor (NNN) couplings on the…

Strongly Correlated Electrons · Physics 2017-09-06 Sahinur Reja , Pavel S. Anisimov , Maria Daghofer

Identifying and characterizing the parent phases of iron-based superconductors is an important step towards understanding the mechanism for their high temperature superconductivity. We present an investigation into the magnetic interactions…

Strongly Correlated Electrons · Physics 2015-06-18 E. E. McCabe , C. Stock , E. E. Rodriguez , A. S. Wills , J. W. Taylor , J. S. O. Evans

A heterostructure of a semi-infinite metal and a Mott insulator is considered. It is supposed that both materials have an identical lattice spacing and hopping integrals and differ in the Hubbard repulsion which is negligible in the metal…

Strongly Correlated Electrons · Physics 2015-05-13 A. Sherman , N. Voropajeva

Inspired by the rich physics of twisted 2D bilayer moir\'{e} systems, we study Coulomb interacting systems subjected to two overlapping finite 1D lattice potentials of unequal periods through exact numerical diagonalization. Unmatching…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 DinhDuy Vu , S. Das Sarma

The electron's kinetic energy plays a pivotal role in magnetism. While virtual electron hopping promotes antiferromagnetism in an insulator, the real process usually favors ferromagnetism. But in kinetically frustrated systems, such as hole…

Strongly Correlated Electrons · Physics 2023-07-25 Zui Tao , Wenjin Zhao , Bowen Shen , Patrick Knüppel , Kenji Watanabe , Takashi Taniguchi , Jie Shan , Kin Fai Mak

As a hallmark of electronic correlation, spin-charge interplay underlies many emergent phenomena in doped Mott insulators, such as high-temperature superconductivity, whereas the half-filled parent state is usually electronically frozen…

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…

Semiconductor moir\'e superlattices comprise an array of artificial atoms and provide a highly tunable platform for exploring novel electronic phases. We introduce a theoretical framework for studying moir\'e quantum matter that treats…

Mesoscale and Nanoscale Physics · Physics 2023-11-21 Aidan P. Reddy , Trithep Devakul , Liang Fu

The intertwined charge, spin, orbital, and lattice degrees of freedom could endow 5d compounds with exotic properties. Current interest is focused on electromagnetic interactions in these materials, whereas the important role of lattice…

We consider the iron pnictides in terms of a proximity to a Mott insulator. The superexchange interactions contain competing nearest-neighbor and next-nearest-neighbor components. In the undoped parent compound, these frustrated…

Superconductivity · Physics 2009-05-24 Qimiao Si , Elihu Abrahams

Wigner-Mott insulating states represent a paradigmatic manifestation of strong electronic correlations, in which long-range Coulomb interactions drive spontaneous charge ordering and enable Mott localization at fractional electronic…

Strongly Correlated Electrons · Physics 2026-02-06 Hongqin Xiao , Geng Li , Yuxuan He , Ke Zhu , Yuhan Ye , Yumeng Li , Lijing Huang , Pucen Xiong , Haitao Yang , Ziqiang Wang , Hong-Jun Gao

We review the interplay of frustration and strong electronic correlations in quasi-two-dimensional organic charge transfer salts, such as k-(BEDT-TTF)_2X and Et_nMe_{4-n}Pn[Pd(dmit)2]2. These two forces drive a range of exotic phases…

Strongly Correlated Electrons · Physics 2011-05-06 B. J. Powell , Ross H. McKenzie
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