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Related papers: Interaction induced moir\'e systems in twisted bil…

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We develop a microscopic theory for nonlinear optical response of moir\'e exciton-polaritons in bilayers of transition metal dichalcogenides (TMDs). Our theory allows to study the tunnel-coupled intralayer and interlayer excitonic modes for…

Mesoscale and Nanoscale Physics · Physics 2025-07-16 Kok Wee Song , Oleksandr Kyriienko

Moir\'e physics has transcended spatial dimensions, extending into synthetic domains and enabling novel quantum phenomena. We propose a theoretical model for a two-dimensional (2D) Moir\'e time crystal formed by ultracold atoms, induced by…

Quantum Gases · Physics 2026-03-03 Weijie Liang , Weiping Zhang , Keye Zhang

We report on the theoretical electronic spectra of twisted phosphorene bilayers exhibiting moir\'e patterns, as computed by means of a continuous approximation to the moir\'e superlattice Hamiltonian. Our model is constructed by…

Mesoscale and Nanoscale Physics · Physics 2022-06-23 Isaac Soltero , Jonathan Guerrero-Sánchez , Francisco Mireles , David A. Ruiz-Tijerina

We analyse the phase diagram of ultra-cold bosons in a one-dimensional superlattice potential with disorder using the time evolving block decimation algorithm for infinite sized systems (iTEBD). For degenerate potential energies within the…

Other Condensed Matter · Physics 2010-05-12 D. Muth , A. Mering , M. Fleischhauer

Magic-angle twisted bilayer graphene has recently become a thriving material platform realizing correlated electron phenomena taking place within its topological flat bands. Several numerical and analytical methods have been applied to…

Strongly Correlated Electrons · Physics 2021-09-17 Bin-Bin Chen , Yuan Da Liao , Ziyu Chen , Oskar Vafek , Jian Kang , Wei Li , Zi Yang Meng

Many-body effects are at the very heart of diverse phenomena found in condensed-matter physics. One striking example is the Mott insulator phase where conductivity is suppressed as a result of a strong repulsive interaction. Advances in…

We study the checkerboard supersolid of the hard-core Bose-Hubbard model with the dipole-dipole interaction. This supersolid is different from all other supersolids found in lattice models in the sense that superflow paths through which…

Quantum Gases · Physics 2012-09-14 Takahiro Ohgoe , Takahumi Suzuki , Naoki Kawashima

We investigate the physics of photonic band structures of the moir\'e patterns that emerged when overlapping two uni-dimensional (1D) photonic crystal slabs with mismatched periods. The band structure of our system is a result of the…

The recently observed superconductivity in twisted bilayer graphene emerges from insulating states believed to arise from electronic correlations. While there have been many proposals to explain the insulating behaviour, the…

Strongly Correlated Electrons · Physics 2020-01-06 J. M. Pizarro , M. J. Calderón , E. Bascones

Interaction plays key role in the mixing properties of a multi-component system. The miscibility-immiscibility transition (MIT) in a weakly interacting mixture of Bose gases is predominantly determined by the strengths of the intra and…

Quantum Gases · Physics 2025-08-13 Rukmani Bai , Soumik Bandyopadhyay

We discuss the dynamical response of strongly interacting Bose atoms in an adiabatically tilted optical lattice. The analysis is performed in terms of the multi-level Landau-Zenner tunneling. Different regimes of tunneling are identified…

Quantum Gases · Physics 2016-10-19 Andrey R. Kolovsky , Dmitrii N. Maksimov

Moir\'e flatbands, occurring, e.g., in twisted bilayer graphene at magic angles, have attracted ample interest due to their high degree of experimental tunability and the intriguing possibility of generating novel strongly interacting…

Mesoscale and Nanoscale Physics · Physics 2020-03-17 Ahmed Abouelkomsan , Zhao Liu , Emil J. Bergholtz

The relative orientation (twist) of successive layers of stacked two-dimensional (2D) materials creates variations in the interlayer atomic registry. The variations often form a super lattice, called a moir\'e pattern, which can alter…

Mesoscale and Nanoscale Physics · Physics 2020-08-05 Stephen Carr , Daniel Massatt , Mitchell Luskin , Efthimios Kaxiras

Recent experiments in twisted bilayer WTe$_2$ revealed the existence of anisotropic Luttinger liquid behavior. To generically characterize such anisotropic twisted bilayer systems, we study a model of a twisted bilayer of two-dimensional…

Strongly Correlated Electrons · Physics 2024-11-15 Yichen Hu , Yuanfeng Xu , Biao Lian

The dynamic response of ultracold Bose gases in one-dimensional optical lattices and superlattices is investigated based on exact numerical time evolutions in the framework of the Bose-Hubbard model. The system is excited by a temporal…

Statistical Mechanics · Physics 2007-05-23 M. Hild , F. Schmitt , R. Roth

We investigate the zero-temperature phase diagram of interacting Bose gases in the presence of a simple cubic optical lattice, going beyond the regime where the mapping to the single-band Bose-Hubbard model is reliable. Our computational…

Quantum Gases · Physics 2013-05-30 S. Pilati , M. Troyer

The Bose-Hubbard model of a two-fold degenerate Bose gas is studied in an optical lattice with one particle per site and virtual tunneling to empty and doubly-occupied sites. An effective Hamiltonian for this system is derived within a…

Statistical Mechanics · Physics 2009-11-10 K. Ziegler

The Hubbard model underlies our understanding of strongly correlated materials. While its standard form only comprises interaction between particles at the same lattice site, its extension to encompass long-range interaction, which…

Quantum Gases · Physics 2016-04-22 S. Baier , M. J. Mark , D. Petter , K. Aikawa , L. Chomaz , Zi Cai , M. Baranov , P. Zoller , F. Ferlaino

Moir\'e superlattices are generally assumed to act only at the interface where lattice mismatch or twist occurs. Here, we study charge transport in large-angle helical twisted trilayer graphene, where interlayer tunneling is strongly…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Dohun Kim , Junsik Choe , Takashi Taniguchi , Kenji Watanabe , Gil Young Cho , Youngwook Kim

Moir\'e heterostructures hold the promise to provide platforms to tailor strongly correlated and topological states of matter. Here, we theoretically propose the emergence of an effective, rectangular moir\'e lattice in twisted bilayers of…

Mesoscale and Nanoscale Physics · Physics 2022-07-07 Yifan Gao , Ammon Fischer , Lennart Klebl , Martin Claassen , Angel Rubio , Li Huang , Dante Kennes , Lede Xian