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Point polarizable molecules at fixed spatial positions have solvable electrostatic properties in classical approximation, the most familiar being the Clausius-Mossotti (CM) formula. This paper generalizes the model and imagines various…

Materials Science · Physics 2009-11-10 Philip B. Allen

We study the nature of the ground state of the strongly-coupled two dimensional extended boson Hubbard model on a square lattice. We demonstrate that strong but finite on-site interaction U along with a comparable nearest-neighbor repulsion…

Strongly Correlated Electrons · Physics 2007-05-23 Pinaki Sengupta , Leonid P. Pryadko , Fabien Alet , Matthias Troyer , Guido Schmid

Via mechanisms not accessible at equilibrium, self-propelled particles can form phases with positional order, such as crystals, and with orientational order, such as polar flocks. However, the interplay between these two types of order…

Soft Condensed Matter · Physics 2025-08-13 Till Welker , Ricard Alert

The cubic nonlinear Schrodinger equation with a lattice potential is used to model a periodic dilute gas Bose-Einstein condensate. Both two- and three-dimensional condensates are considered, for atomic species with either repulsive or…

Condensed Matter · Physics 2007-05-23 Bernard Deconinck , Bela A. Frigyik , J. Nathan Kutz

Optical lattices formed by interfering laser beams are widely used to trap and manipulate atoms for quantum simulation, metrology, and computation. To stabilize optical lattices in experiments, it is usually challenging to implement…

Quantum Physics · Physics 2026-04-14 Yirong Wang , Xiaoyu Dai , Xue Zhao , Guangren Sun , Kuiyi Gao , Wei Zhang

This paper presents a Monte-Carlo study of percolation in a distorted square lattice, in which, the adjacent sites are not equidistant. Starting with an undistorted lattice, the position of the lattice sites are shifted through a tunable…

Statistical Mechanics · Physics 2019-01-16 Sayantan Mitra , Dipa Saha , Ankur Sensharma

It has been realized in recent years that coupled focusing lattices in accelerators and storage rings have significant advantages over conventional uncoupled focusing lattices, especially for high-intensity charged particle beams. A…

Accelerator Physics · Physics 2024-12-12 Hong Qin , Moses Chung , Ronald C. Davidson , J. W. Burby

We analyse the stability of large, linear dynamical systems of variables that interact through a fully connected random matrix and have inhomogeneous growth rates. We show that in the absence of correlations between the coupling strengths,…

Disordered Systems and Neural Networks · Physics 2025-12-29 Samuel Cure , Izaak Neri

Experiments have evidenced proton pairing in Y-doped BaZrO3. However, the nature of proton pairing and its impact on conduction remain insufficiently understood theoretically. Here, through quantitative computational analysis of…

Materials Science · Physics 2025-12-23 Hang Ma , Jiajun Linghu , Nannan Han , Ying Liang , Yiyang Sun , Tianxing Ma , Zhi-Peng Li

We consider dipolar fermions in a two-dimensional square lattice and a harmonic trapping potential. The anisotropy of the dipolar interaction combined with the lattice leads to transitions between phases with density order of different…

Quantum Gases · Physics 2012-02-15 Anne-Louise Gadsbolle , G. M. Bruun

Helices are not generic outcomes of polymer collapse. Collapsed conformations of semiflexible polymers with isotropic attractions typically form globules, toroids, or rod-like structures, as seen in simulations and described by…

Statistical Mechanics · Physics 2026-03-31 Biman Bagchi

We propose a novel scheme for asymmetric light diffraction of a weak probe field into a one-dimensional (1D) and two-dimensional (2D) lattice occupied with cold atoms. The atoms are driven into the double lambda-type configuration by a…

Quantum Physics · Physics 2020-10-12 Ali Akbar Naeimi , Elham Darabi , Ali Mortezapour , Ghasem Naeimi

High-temperature part of the phase diagram of tetragonal frustrated antiferromagnets is discussed within the framework of the mean-field approach. Based on recent experimental findings, we generalize previous theoretical studies by…

Strongly Correlated Electrons · Physics 2025-12-23 Oleg I. Utesov , Danila P. Budylev

The profiles of narrow lattice solitons are calculated analytically using perturbation analysis. A stability analysis shows that solitons centered at a lattice (potential) maximum are unstable, as they drift toward the nearest lattice…

Pattern Formation and Solitons · Physics 2009-11-13 Y. Sivan , G. Fibich , N. K. Efremidis , S. Bar-Ad

Recent experiments demonstrate the ability to construct cold atom mixtures with species selective optical lattices. This allows for the possibility of a mixed-dimension system, where one fermionic atomic species is confined to a two…

Quantum Gases · Physics 2018-01-10 Shane Kelly , S. -W. Tsai

Self-assembling novel ordered structures with nanoparticles has recently received much attention. Here we use computer simulations to study a two-dimensional model system characterized by a simple isotropic interaction that could be…

Soft Condensed Matter · Physics 2015-03-18 Michael Engel

Existence, stability and dynamics of soliton complexes, centered at the site of a single transverse link connecting two parallel 2D (two-dimensional) lattices, are investigated. The system with the on-site cubic self-focusing nonlinearity…

Pattern Formation and Solitons · Physics 2015-05-28 M. D. Petrovic , G. Gligoric , A. Maluckov , Lj. Hadzievski , B. A. Malomed

We investigate the formation of condensates in a binary lattice gas in the presence of chiral interactions. These interactions differ between a given microscopic configuration and its mirror image. We consider a two dimensional lattice gas…

Statistical Mechanics · Physics 2024-09-26 Boyi Wang , Frank Jülicher , Patrick Pietzonka

We investigate in this paper the ground state and the nature of the transition from an orientational ordered phase at low temperature to the disordered state at high temperature in a molecular crystal. Our model is a Potts model which takes…

Statistical Mechanics · Physics 2015-06-03 Danh-Tai Hoang , H. T. Diep

When two-dimensional crystals are brought into close proximity, their interaction results in strong reconstruction of electronic spectrum and local crystal structure. Such reconstruction strongly depends on the twist angle between the two…

Mesoscale and Nanoscale Physics · Physics 2025-10-27 C. R. Woods , P. Ares , H. Nevison-Andrews , M. J. Holwill , R. Fabregas , F. Guinea , A. K. Geim , K. S. Novoselov , N. R. Walet , L. Fumagalli