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We show that the formation of a vortex lattice in a weakly interacting Bose condensed gas can be modeled with the nonlinear Schrodinger equation for both T=0 and finite temperatures without the need for an explicit damping term. Applying a…

Statistical Mechanics · Physics 2007-05-23 Carlos Lobo , Alice Sinatra , Yvan Castin

Phonon hydrodynamics describes the motions of heat carriers (phonons) at sub-continuum scales: diffusive, ballistic, viscous, and vortical. In a previous paper, these behaviours were investigated within the framework of non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2025-01-27 Liliana Restuccia , David Jou , Michal Pavelka

Electron-phonon interaction in copper oxide superconductors is still enigmatic. Strong coupling for certain optic phonons is now well established experimentally, but theoretical understanding is challenging. Scattering of electrons near the…

Superconductivity · Physics 2019-10-14 A. M. Merritt , J. -P. Castellan , T. Keller , S. R. Park , J. A. Fernandez-Baca , G. D. Gu , D. Reznik

Describing electron-phonon interactions in a solid requires knowledge of the electron-phonon matrix elements in the Hamiltonian. State-of-the-art first-principles calculations for the electron-phonon interaction are limited to the…

We develop an analytical approach based on a unitary transformation to investigate S=1/2 antiferromagnetic Heisenberg chains coupled to phonons, and find a new quantum phase transition at zero temperature. Although the usual phase…

Strongly Correlated Electrons · Physics 2015-05-30 Satoru Akiyama , Chitoshi Yasuda

We present a novel approach to electron-lattice interaction beyond the linear-coupling regime. Based on the solution of a Holstein-Peierls-type model, we derive explicit analytical expressions for the eigenvalue spectrum of the Hamiltonian,…

Materials Science · Physics 2018-12-13 Pablo García Risueño , Dmitrii Nabok , Qiang Fu , Claudia Draxl

Dynamical mean-field theory computations of the electron self energy of the Hubbard-Holstein model as a function of electron-phonon and electron-electron interactions are analyzed to gain insight into the dependence of electron-phonon…

Strongly Correlated Electrons · Physics 2025-05-14 Jennifer Coulter , Andrew J. Millis

We study a supersymmetric partition function of topological vortices in 3d N=4,3 gauge theories on R^2 x S^1, and use it to explore Seiberg-like dualities with Fayet-Iliopoulos deformations. We provide a detailed support of these dualities…

High Energy Physics - Theory · Physics 2012-04-19 Hee-Cheol Kim , Jungmin Kim , Seok Kim , Kanghoon Lee

Non-trivial topological behavior appears in many different contexts in statistical physics, perhaps the most known one being the Kosterlitz-Thouless phase transition in the two dimensional XY model. We study the behavior of a simpler, one…

Probability · Mathematics 2021-04-28 Clément Cosco , Assaf Shapira

Strong interactions between electrons in two dimensions can realize phases where their spins and charges separate. We capture this phenomenon within a dual formulation. Focusing on square lattices, we analyze the long-wavelength structure…

Strongly Correlated Electrons · Physics 2022-11-28 Eyal Leviatan , David F. Mross

Vortex coherent structures on arrays of nonlinear oscillators joined by weak links into topologically nontrivial two-dimensional discrete manifolds have been theoretically studied. A circuit of nonlinear electric oscillators coupled by…

Pattern Formation and Solitons · Physics 2020-07-01 Victor P. Ruban

This comment critically examines the claims made in arXiv papers arXiv:2501.17230 and arXiv:2502.00103, which argue that a multiplicity of polar optical phonons can generate a long-range attractive interaction via a generalized Frohlich…

Superconductivity · Physics 2025-03-06 Jonathan Ruhman

We study variational wave functions of the product form, factorizing according to the wave vectors k, for the ground state of a system of bosons interacting via positive pair interactions with a positive Fourier transform. Our trial…

Statistical Mechanics · Physics 2008-02-07 Andras Suto , Peter Szepfalusy

Coupling between electrons and phonons (lattice vibrations) drives the formation of the electron pairs responsible for conventional superconductivity. The lack of direct evidence for electron-phonon coupling in the electron dynamics of the…

The quantum phase transition between a repulsive Luttinger liquid and an insulating Peierls state is studied in the framework of the one-dimensional spinless Holstein model. We focus on the adiabatic regime but include the full quantum…

Strongly Correlated Electrons · Physics 2011-03-08 Martin Hohenadler , Holger Fehske , Fakher F. Assaad

We investigate the superfluid properties of two-dimensional driven Bose liquids, such as polariton condensates, using their long-wavelength description in terms of a compact Kardar-Parisi-Zhang (KPZ) equation for the phase dynamics. We…

Quantum Gases · Physics 2016-09-29 G. Wachtel , L. M. Sieberer , S. Diehl , E. Altman

We study the effects of lattice type on polaron dynamics using a continuous-time quantum Monte-Carlo approach. Holstein and screened Froehlich polarons are simulated on a number of different Bravais lattices. The effective mass, isotope…

Strongly Correlated Electrons · Physics 2009-11-11 J. P. Hague , P. E. Kornilovitch , A. S. Alexandrov , J. H. Samson

We consider an electron-phonon system in two and three dimensions on square, hexagonal and cubic lattices. The model is a modification of the standard Holstein model where the optical branch is appropriately curved in order to have a…

Statistical Mechanics · Physics 2009-10-31 N. Macris , C. -A. Piguet

The coupling of vortices to phonons in a superfluid is a gauge coupling dictated by topology. The density and current response to a moving vortex are computed and contrasted with the standard backflow picture. Exploiting the analogy to…

Condensed Matter · Physics 2009-10-28 D. P. Arovas , J. A. Freire

We study with lattice Monte Carlo simulations the interactions and macroscopic behaviour of a large number of vortices in the 3-dimensional U(1) gauge+Higgs field theory, in an external magnetic field. We determine non-perturbatively the…

High Energy Physics - Lattice · Physics 2009-10-31 K. Kajantie , M. Laine , T. Neuhaus , A. Rajantie , K. Rummukainen
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