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In this letter we investigate the effects of dipole-dipole interactions on the vortex lattices in fast rotating Bose-Einstein condensates. For single planar condensate, we show that the triangular lattice structure will be unfavorable when…

Other Condensed Matter · Physics 2009-11-11 Jian Zhang , Hui Zhai

We develop a theory for dislocation-mediated structural transitions in the vortex lattice which allows for a unified description of phase transitions between the three phases, the elastic vortex glass, the amorphous vortex glass, and the…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. Kierfeld , V. Vinokur

The pre-melting of high vortex density planes observed recently in layered superconductors in tilted magnetic field is explained theoretically. Based on the structural information of the crossing lattices of pancake and Josephson vortices…

Superconductivity · Physics 2015-06-15 S. Butsch , E. Zeldov , T. Nattermann

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

We investigate the ordered morphologies occurring in thin-films diblock copolymer. For temperatures above the order-disorder transition and for an arbitrary two-dimensional surface pattern, we use a Ginzburg-Landau expansion of the free…

Soft Condensed Matter · Physics 2007-05-23 Yoav Tsori , David Andelman

We study the quantum melting of quasi-one-dimensional lattice models in which the dominant energy scale is given by a repulsive dipolar interaction. By constructing an effective low-energy theory, we show that the melting of crystalline…

Quantum Gases · Physics 2015-02-20 Hendrik Weimer

We study the vortex state in a magnetic field parallel to the $c$ axis in the framework of the extended Ginzburg Landau equation. We find the vortex acquires a fourfold modulation proportional to $\cos(4\phi)$ where $\phi$ is the angle…

Superconductivity · Physics 2009-10-31 Jun'ichi Shiraishi , Mahito Kohmoto , Kazumi Maki

We study the structure and melting of a classical bilayer system of dipoles, in a setup where the dipoles are oriented perpendicular to the planes of the layers and the density of dipoles is the same in each layer. Due to the anisotropic…

Other Condensed Matter · Physics 2008-07-30 Xin Lu , Chang-Qin Wu , Andrea Micheli , Guido Pupillo

The theory presented is based on a simple Hamiltonian for a vortex lattice in a weak impurity background which includes linear elasticity and plasticity, the latter in the form of integer valued fields accounting for defects. Within a…

Superconductivity · Physics 2011-10-05 J. Dietel , H. Kleinert

The competition between Coulomb repulsion and kinetic energy in correlated systems can allow electrons to crystallize into Wigner solids. Despite researches across diverse two-dimensional Wigner platforms, the microscopic melting processes…

Strongly Correlated Electrons · Physics 2026-01-06 Chaofei Liu , Jianwang Zhou , Wenao Liao , Zeyu Jiang , Chao Zhang , Tingfei Guo , Tianyou Zhai , Wenhao Zhang , Ying-Shuang Fu , Qi-Kun Xue

We study polar molecules with long-range dipole-dipole interactions confined to move on a two-leg ladder for different orientations of the molecular dipole moments with respect to the ladder. Matrix product states are employed to calculate…

Quantum Gases · Physics 2014-01-14 Søren Gammelmark , Nikolaj Thomas Zinner

Precision measurements of the vortex phase diagram in single crystals of the layered superconductor Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+\delta}$ in oblique magnetic fields confirm the existence of a second phase transition, in addition to the…

We derive expressions for the jumps in entropy and magnetization characterizing the first-order melting transition of a flux line lattice. In our analysis we account for the temperature dependence of the Landau parameters and make use of…

Superconductivity · Physics 2009-10-30 M. J. W. Dodgson , V. B. Geshkenbein , H. Nordborg , G. Blatter

We study the motion of $N$ particles moving on a two-dimensional triangular lattice, whose sites are occupied by either left or right rotators. These rotators deterministically scatter the particles to the left (right), changing orientation…

Statistical Mechanics · Physics 2020-02-19 Stewart McGinnis , Benjamin Webb

A series of atomistic finite temperature simulations on a model of an FCC lattice of maghemite nanoparticles using the stochastic Landau-Lifshitz-Gilbert (sLLG) equation are presented. The model exhibits a ferromagnetic transition that is…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 B. Alkadour , J. I. Mercer , J. P. Whitehead , B. W. Southern , J. van Lierop

We analyze theoretically polar molecules confined in planar arrays of one dimensional tubes. In the classical limit, if the number of tubes is finite, new types of "clustered Wigner crystals" with increasingly many molecules per unit cell…

Quantum Gases · Physics 2012-08-03 Michael Knap , Erez Berg , Martin Ganahl , Eugene Demler

The formation and field-induced switching of defect dipoles in acceptor doped lead titanate is described by a kinetic model representing an extension of the well established Arlt-Neumann model [Ferroelectrics {\bf 76}, 303 (1987)]. Energy…

Materials Science · Physics 2013-11-20 Paul Erhart , Petra Träskelin , Karsten Albe

We present an exhaustive analysis of transport measurements performed in twinned YBa2Cu3O7 single crystals which stablishes that the vortex solid-liquid transition is first order when the magnetic field H is applied at an angle theta away…

Superconductivity · Physics 2009-10-31 B. Maiorov , G. Nieva , E. Osquiguil

We report the observation of the melting of a vortex lattice in a fast rotating quasi-two dimensional Bose gas, under the influence of thermal fluctuations. We image the vortex lattice after a time-of-flight expansion, for increasing…

We show that thermally activated interstitial and vacancy defects can lead to first order melting of a vortex lattice. We obtain good agreement with experimentally measured melting curve, latent heat, and magnetization jumps for YBCO and…

Superconductivity · Physics 2009-10-31 Herve M. Carruzzo , Clare C. Yu