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We investigate the quantum phases of hard-core dipolar bosons confined to a square lattice in a bilayer geometry. Using exact theoretical techniques, we discuss the many-body effects resulting from pairing of particles across layers at…

We consider the Lawrence-Doniach model for layered superconductors, in which stacks of parallel superconducting planes are coupled via the Josephson effect. We assume that the superconductor is placed in an external magnetic field oriented…

Analysis of PDEs · Mathematics 2007-05-23 S. Alama , A. J. Berlinsky , L. Bronsard

By imposing twisted boundary conditions on quark fields it is possible to access components of momenta other than integer multiples of 2pi/L on a lattice with spatial volume L^3. We use Chiral Perturbation Theory to study finite-volume…

High Energy Physics - Lattice · Physics 2009-10-09 C. T. Sachrajda , G. Villadoro

The paper investigates two-phase microstructures of optimal 3D composites that store minimal elastic energy in a given strain field. The composite is made of two linear isotropic materials which differ in elastic moduli and self-strains. We…

Materials Science · Physics 2015-11-03 Mikhail A. Antimonov , Andrej Cherkaev , Alexander Freidin

The concepts of topology have a profound impact on physics research spanning the fields of condensed matter, photonics and acoustics and predicting topological states that provide unprecedented versatility in routing and control of waves of…

The observation of unexpected polarisation textures such as vortices, skyrmions and merons in various oxide heterostructures has challenged the widely accepted picture of ferroelectric domain walls as being Ising-like. Bloch components in…

The phase diagram of binary mixtures of particles interacting via a pair potential of parallel dipoles is computed at zero temperature as a function of composition and the ratio of their magnetic susceptibilities. Using lattice sums, a rich…

Soft Condensed Matter · Physics 2009-11-13 Lahcen Assoud , René Messina , Hartmut Löwen

The polar properties of antiphase boundaries (APBs) in PbZrO$_3$ are analyzed in detail using a recently developed layer group approach in order parameter space and compared with the results from Landau-Ginzburg free energy description. It…

Materials Science · Physics 2022-01-05 Ivan Rychetsky , Wilfried Schranz , Andreas Tröster

We construct and analyze a class of one-dimensional boundary Hamiltonians arising from two-dimensional symmetry-protected topological phases with $\mathbb{Z}_N^{\times 3}$ symmetry on a triangular lattice. Using a cohomology-based…

Strongly Correlated Electrons · Physics 2026-04-02 Hrant Topchyan

We study the topological photonic states in one-dimensional (1-D) lattices analogue to the Su-Schrieffer-Heeger (SSH) model beyond the dipole approximation. The electromagnetic resonances of the lattices supported by near-field interactions…

Mesoscale and Nanoscale Physics · Physics 2022-06-23 Raymond P. H. Wu , H. C. Ong

Quantum many-body systems with fracton constraints are widely conjectured to exhibit unconventional low-energy phases of matter. In this work, we demonstrate the existence of a variety of such exotic quantum phases in the ground states of a…

Quantum Gases · Physics 2023-07-06 Philip Zechmann , Ehud Altman , Michael Knap , Johannes Feldmeier

Inter-site interactions in polar lattice gases may result, due to Hilbert-space fragmentation, in a lack of ergodicity even in absence of disorder. We show that the inter-site interaction in a one-dimensional dipolar gas in an optical…

Quantum Gases · Physics 2023-10-31 H. Korbmacher , P. Sierant , W. Li , X. Deng , J. Zakrzewski , L. Santos

Higher-order topological phases feature topologically protected boundary states in lower dimensions. Specifically, the zero-dimensional corner states are protected by the $d$th-order topology of a $d$-dimension system. In this work, we…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 Linhu Li , Muhammad Umer , Jiangbin Gong

We show that topological phases with fractional excitations can occur in two-dimensional ultracold dipolar gases on a particular class of optical lattices. Due to the dipolar interaction and lattice confinement, a quantum dimer model…

Quantum Gases · Physics 2010-04-26 Kai Sun , Erhai Zhao , W. Vincent Liu

Fine scale elastic structures are widespread in nature, for instances in plants or bones, whenever stiffness and low weight are required. These patterns frequently refine towards a Dirichlet boundary to ensure an effective load transfer.…

Numerical Analysis · Mathematics 2017-11-13 Nora Lüthen , Martin Rumpf , Sascha Tölkes , Orestis Vantzos

We consider a port-Hamiltonian system on a spatial domain $\Omega \subseteq \mathbb{R}^n$ that is bounded with Lipschitz boundary. We show that there is a boundary triple associated to this system. Hence, we can characterize all boundary…

Functional Analysis · Mathematics 2023-01-12 Nathanael Skrepek

We investigate the structural and thermodynamic properties of a model of particles with $2$ patches of type $A$ and $10$ patches of type $B$. Particles are placed on the sites of a face centered cubic lattice with the patches oriented along…

Soft Condensed Matter · Physics 2015-06-18 J. M. Tavares , N. G. Almarza , M. M. Telo da Gama

We consider quantum droplets in dipolar Bose-Einstein condensates (BECs) embedded in optical lattices within the framework of Gross-Pitaevskii equations. In dipolar BECs, the long-range and anistropic dipole-dipole interaction provides an…

Quantum Gases · Physics 2026-04-03 Sk Siddik , Golam Ali Sekh

In this paper we study the Lawrence-Doniach model for layered superconductors, for a sample with finite width subjected to a magnetic field parallel to the superconducting layers. We provide a rigorous analysis of the energy minimizers in…

Analysis of PDEs · Mathematics 2007-05-23 S. Alama , A. J. Berlinsky , L. Bronsard

We consider the low-energy particle-particle scattering properties in a periodic simple cubic crystal. In particular, we investigate the relation between the two-body scattering length and the energy shift experienced by the lowest-lying…

Quantum Gases · Physics 2016-05-25 Manuel Valiente , Nikolaj Thomas Zinner
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