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We show anisotropy of the dipole interaction between magnetic atoms or polar molecules can stabilize new quantum phases in an optical lattice. Using a well controlled numerical method based on the tensor network algorithm, we calculate…

Quantum Gases · Physics 2013-05-29 Y. -H. Chan , Y. -J. Han , L. -M. Duan

We introduce twisted anisotropic homobilayers as a distinct class of moir\'e systems, characterized by a distinctive ``magic angle", $\theta_M$, where both the moir\'e unit cell and Brillouin zone collapse. Unlike conventional studies of…

Strongly Correlated Electrons · Physics 2025-11-04 D. J. P. de Sousa , Seungjun Lee , Francisco Guinea , Tony Low

An exactly solvable variant of mixed spin-(1/2,1) Ising-Heisenberg diamond chain is considered. Vertical spin-1 dimers are taken as quantum ones with Heisenberg bilinear and biquadratic interactions and with single-ion anisotropy, while all…

Statistical Mechanics · Physics 2011-03-31 Onofre Rojas , S. M. de Souza , Vadim Ohanyan , Martiros Khurshudyan

Raman-assisted hopping may be used to realize the anyon Hubbard model in one-dimensional optical lattices. We propose a feasible scenario that significantly improves the proposal of [T. Keilmann et al., Nature Commun. 2, 361 (2011)],…

Quantum Gases · Physics 2015-08-05 Sebastian Greschner , Luis Santos

We introduce a variational state for one-dimensional two-orbital Hubbard models that intuitively explains the recent computational discovery of pairing in these systems when hole doped. Our Ansatz is an optimized linear superposition of…

Strongly Correlated Electrons · Physics 2020-05-26 Niravkumar D. Patel , Nitin Kaushal , Alberto Nocera , Gonzalo Alvarez , Elbio Dagotto

We investigate the dynamical superlattice correlation in the two-dimensional three-band Hubbard model on the basis of the unrestricted fluctuation exchange approximation. We calculate the one-particle spectral function, the spin correlation…

Strongly Correlated Electrons · Physics 2009-11-13 Shigeru Koikegami , Takashi Yanagisawa , Masaru Kato

Two-dimensional (2D) bilayers, twisted to particular angles to display electronic flat bands, are being extensively explored for physics of strongly correlated 2D systems. However, the similar rich physics of one-dimensional (1D) strongly…

Materials Science · Physics 2022-06-06 Sunny Gupta , Henry Yu , Boris I. Yakobson

We demonstrate that all of the salient features of the Harper-Hofstadter model can be implemented with ultracold atoms trapped in a bichromatic ring-shaped lattice. Using realistic sinusoidal lattice potentials rather than assume the…

Quantum Gases · Physics 2019-09-24 Kunal K. Das , Jacob Christ

The recent discovery of topological flat bands in twisted transition metal dichalcogenide homobilayers and multilayer graphene has sparked significant research interest. We propose a new platform for realizing tunable topological moire flat…

Materials Science · Physics 2025-07-08 Xilong Xu , Haonan Wang , Li Yang

We study the topological properties of a Haldane model on a band deformed dice lattice, which has three atoms per unit cell (call them as A, B and C) and the spectrum comprises of three bands, including a flat band. The bands are…

Mesoscale and Nanoscale Physics · Physics 2023-02-01 Sayan Mondal , Saurabh Basu

Motivated by the observation of a gapless spin liquid state in $\kappa$-(BEDT-TTF)$_2$Cu$_2$(CN)$_3$, we analyze the anisotropic triangular lattice $S=1/2$ Heisenberg model with the resonating valence bond mean-field approximation. Paying…

Strongly Correlated Electrons · Physics 2007-06-13 Yuta Hayashi , Masao Ogata

We study spontaneous symmetry breaking in a system of spinless fermions in the Honeycomb lattice paying special emphasis to the role of an enlarged unit cell on time reversal symmetry broken phases. We use a tight binding model with nearest…

Strongly Correlated Electrons · Physics 2013-03-14 Adolfo G. Grushin , Eduardo V. Castro , Alberto Cortijo , Fernando de Juan , Maria A. H. Vozmediano , Belen Valenzuela

In this work we study the two-orbital Hubbard model on a square lattice in the presence of hybridization between nearest-neighbor orbitals and a crystal-field splitting. We use a highly reliable numerical technique based on the density…

Strongly Correlated Electrons · Physics 2021-01-15 Y. Nunez-Fernandez , K. Hallberg

We propose an extended Hubbard model with three molecular orbitals on a hexagonal lattice with $D_{3h}$ symmetry to study recently discovered superconductivity in A$_2$Cr$_3$As$_3$ (A=K,Rb,Cs). Effective pairing interactions from paramagnon…

Superconductivity · Physics 2023-04-05 Yi Zhou , Chao Cao , Fu-Chun Zhang

We study a constrained statistical-mechanical model in two dimensions that has three useful descriptions. They are 1) the Ising model on the honeycomb lattice, constrained to have three up spins and three down spins on every hexagon, 2) the…

Statistical Mechanics · Physics 2009-11-11 Paul Fendley , Joel E. Moore , Cenke Xu

Compared to van der Waals moir\'e systems, molecular assembly has emerged as an exciting alternative platform for superlattice engineering via heterointegration. The electronic properties of the self-assembled square lattice monolayer…

Materials Science · Physics 2026-03-17 Adrian Bahri , Zhibo Kang , Ziyan Zhu , Eric I. Altman , Yu He , Chunjing Jia

The ground-state phases of anisotropic mixed diamond chains with spins 1 and 1/2 are investigated. Both single-site and exchange anisotropies are considered. We find the phases consisting of an array of uncorrelated spin-1 clusters…

Strongly Correlated Electrons · Physics 2014-10-29 Kazuo Hida

We discuss the possibility of spin-triplet superconductivity in a two-dimensional Hubbard model on a triangular lattice within the third-order perturbation theory. When we vary the symmetry in the dispersion of the bare energy band from D_2…

Strongly Correlated Electrons · Physics 2007-05-23 Yunori Nisikawa , Kosaku Yamada

In two-dimensional (2D) ferromagnets, anisotropy is essential for the magnetic ordering as dictated by the Mermin-Wagner theorem. But when competing anisotropies are present, the phase transition becomes nontrivial. Here, utilizing highly…

Mesoscale and Nanoscale Physics · Physics 2022-12-19 S. Y. Wang , Y. Wang , S. H. Yan , C. Wang , B. K. Xiang , K. Y. Liang , Q. S. He , K. Watanabe , T. Taniguchi , S. J. Tian , H. C. Lei , W. Ji , Y. Qi , Y. H. Wang

We explore the magnetic properties of a two-dimensional Hubbard model on an inhomogeneous square lattice, which provides a platform for tuning the bandwidth of the flat band. In its limit, this inhomogeneous square lattice turns into a Lieb…

Strongly Correlated Electrons · Physics 2023-06-16 Xiao Zhang , Runyu Ma , Zenghui Fan , Zixuan Jia , Lufeng Zhang , Tianxing Ma