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We present a study of the spectral properties like the energy spectrum, the eigenmodes and density of states of a classical finite system of two-dimensional (2D) charged particles which are confined by a quadratic potential. Using the…

Condensed Matter · Physics 2007-05-23 V. A. Schweigert , F. M. Peeters

The statistics of the ground-state and domain-wall energies for the two-dimensional random-bond Ising model on square lattices with independent, identically distributed bonds of probability $p$ of $J_{ij}= -1$ and $(1-p)$ of $J_{ij}= +1$…

Disordered Systems and Neural Networks · Physics 2007-05-23 Ronald Fisch , Alexander K. Hartmann

We investigate Luttinger Liquid superlattices, a periodic structure composed of two kinds of one-dimensional systems of interacting electrons. We calculate several properties of the low-energy sector: the effective charge and spin…

Strongly Correlated Electrons · Physics 2007-05-23 J. Silva-Valencia , E. Miranda , Raimundo R. dos Santos

Recent interests towards novel functionalities arising at domain walls of ferroic materials naturally call for a microscopic understanding. To this end, first-principles calculations have been performed in order to provide solid evidence of…

Materials Science · Physics 2014-04-09 Paolo Barone , Domenico Di Sante , Silvia Picozzi

We study thermal equilibrium of classical pointlike counterions confined between symmetrically charged walls at distance $d$. At very large couplings when the counterion system is in its crystal phase, a harmonic expansion of particle…

Soft Condensed Matter · Physics 2019-01-21 L. Samaj , M. Trulsson , E. Trizac

Charge and spin-Peierls instabilities in quarter-filled (n=1/2) compounds consisting of coupled ladders and/or zig-zag chains are investigated. Hubbard and t-J models including local Holstein and/or Peierls couplings to the lattice are…

Strongly Correlated Electrons · Physics 2009-10-31 J. Riera , D. Poilblanc

Using Molecular Dynamics simulations based on the effective hamiltonian developed by Zhong, Vanderbilt and Rabe [Phys. Rev. Lett. {\bf 73}, 1861 (1994)] (and fitted on first-principles calculations only), the technique of the thermodynamic…

Materials Science · Physics 2009-11-13 Gregory Geneste

We present new estimates on the two-dimensional Ginzburg-Landau energy of a type-II superconductor in an applied magnetic field varying between the second and third critical fields. In this regime, superconductivity is restricted to a thin…

Mathematical Physics · Physics 2019-10-01 M. Correggi , N. Rougerie

The phenomenological theory for the polar instability giving rise to a two-dimensional electron gas at perovskite interfaces is hereby extended to include the coupling to perovskite tilts. A Landau theory for homogeneous tilts is first…

Materials Science · Physics 2022-09-29 Daniel Bennett , Pablo Aguado-Puente , Emilio Artacho , Nicholas Bristowe

By using modular functions on the upper complex half-plane, we study a class of strain energies for crystalline materials whose global invariance originates from the full symmetry group of the underlying lattice. This follows Ericksen's…

Materials Science · Physics 2022-11-29 Edoardo Arbib , Paolo Biscari , Clara Patriarca , Giovanni Zanzotto

We have employed the semidiscrete variational generalized Peierls-Nabarro model to study the dislocation core properties of aluminum. The generalized stacking fault energy surfaces entering the model are calculated by using first-principles…

Materials Science · Physics 2009-10-31 Gang Lu , Nicholas Kioussis , Vasily V. Bulatov , Efthimios Kaxiras

We report second-principles simulations on the structural and energetic properties of domains in (PbTiO$_{3}$)$_{n}$/(SrTiO$_{3}$)$_{n}$ superlattices. For the explored layer thickness ($n$ ranging between 8 and 16 unit cells) and lateral…

We model a binary mixture of passive and active Brownian particles in two dimensions using the effective interaction between passive particles in the active bath. The activity of active particles and the size ratio of two types of particles…

Soft Condensed Matter · Physics 2022-06-15 Jay Prakash Singh , Sudipta Pattanayak , Shradha Mishra , Jaydeb Chakrabarti

Motivated by the recent finding that doped edge-sharing Cu-O chain compounds like Na$_3$Cu$_2$O$_4$ and Na$_8$Cu$_5$O$_{10}$ are realizations of one-dimensional Wigner crystals, we study the optical spectra of such systems. Charge…

Strongly Correlated Electrons · Physics 2009-11-11 Matthias Mayr , Peter Horsch

We provide a methodology for generating interatomic potentials for use in classical molecular dynamics simulations of atomistic phenomena occurring at energy scales ranging from lattice vibrations to crystal defects to high energy…

Materials Science · Physics 2009-12-03 Pratyush Tiwary , Axel van de Walle , Niels Grønbech-Jensen

We investigate the dependence of the structural phase transitions in an infinite quasi-one-dimensional system of repulsively interacting particles on the profile of the confining channel. Three different functional expressions for the…

Mesoscale and Nanoscale Physics · Physics 2014-09-19 J. E. Galván-Moya , V. R. Misko , F. M. Peeters

We analyze a two-dimensional phase field model designed to describe the dynamics of crystalline grains. The phenomenological free energy is a functional of two order parameters. The first one reflects the orientational order while the…

Materials Science · Physics 2009-10-31 Alexander E. Lobkovsky , James A. Warren

A semi-empirical formalism is presented for deriving interatomic potentials for materials such as caesium or cerium which exhibit volume collapse phase transitions. It is based on the Finnis-Sinclair second moment tight binding approach,…

Materials Science · Physics 2009-11-07 Graeme J. Ackland , Stewart K. Reed

Real-time dynamics of charge density and lattice displacements is studied during photoinduced ionic-to-neutral phase transitions by using a one-dimensional extended Peierls-Hubbard model with alternating potentials for the one-dimensional…

Materials Science · Physics 2009-11-07 Naoyuki Miyashita , Makoto Kuwabara , Kenji Yonemitsu

A new one-dimensional fermion model depending on two independent interaction parameters is formulated and solved exactly by the Bethe ansatz method. The Hamiltonian of the model contains the Hubbard interaction and correlated hopping as…

Condensed Matter · Physics 2009-10-28 R. Z. Bariev , A. Klümper , J. Zittartz