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A unified framework for analyzing the existence of ground states in wide classes of elastic complex bodies is presented here. The approach makes use of classical semicontinuity results, Sobolev mappinngs and Cartesian currents. Weak…

数学物理 · 物理学 2008-02-12 Paolo Maria Mariano , Giuseppe Modica

We introduce a new two-dimensional model with diagonal four spin exchange and an exactly knownground-state. Using variational ansaetze and exact diagonalisation we calculate upper and lower bounds for the critical coupling of the model.…

统计力学 · 物理学 2009-11-11 A. Sindermann , U. Löw , J. Zittartz

Properties of bosonic atoms in small systems with a periodic quasi one-dimensional circular toroidal lattice potential subjected to rotation are examined by performing exact diagonalization in a truncated many body space. The expansion of…

量子气体 · 物理学 2015-06-12 Fernanda Pinheiro , A. F. R. de Toledo Piza

We have analyzed a non-randomly frustrated spin model which exhibits behavior remarkably similar to the phenomenology of structural glasses. The high-temperature disordered phase undergoes a strong first-order transition to a long-range…

统计力学 · 物理学 2008-02-03 Lei Gu , Bulbul Chakraborty

Geometric frustration lies at the heart of many unconventional quantum phases in strongly interacting electron systems. Here, we analytically determine the ground state magnetization of the half-filled Hubbard model on frustrated geometries…

强关联电子 · 物理学 2025-09-10 F. P. M. Méndez-Córdoba , J. Tindall , D. Jaksch , F. Schlawin

Weak limits as the density tends to infinity of classical ground states of integrable pair potentials are shown to minimize the mean-field energy functional. By studying the latter we derive global properties of high-density ground state…

其他凝聚态物理 · 物理学 2015-03-17 Andras Suto

We investigate the ground state properties of a bosonic Harper-Hofstadter model with local interactions on a finite cylindrical lattice with filling fraction $\nu=1/2$. We find that our system supports topologically ordered states by…

介观与纳米尺度物理 · 物理学 2019-03-12 Paolo Rosson , Michael Lubasch , Martin Kiffner , Dieter Jaksch

The extended Bose-Hubbard model for a double-well potential with pair tunneling is studied through both exact diagonalization and mean field theory (MFT). When pair tunneling is strong enough, the ground state wavefunction predicted by the…

量子气体 · 物理学 2015-05-05 Qizhong Zhu , Qi Zhang , Biao Wu

We study the emergence of glassy states after a sudden cooling in lattice models with short range interactions and without any a priori quenched disorder. The glassy state emerges whenever the equilibrium model possesses a sufficient number…

统计力学 · 物理学 2009-11-10 M. J. de Oliveira , A. Petri , T. Tome

We report numerical investigation of the glassy behavior of random-field exchange models in three dimensions. Correlation of energy with the magnetization for different numbers of spin components has been studied. There is a profound…

统计力学 · 物理学 2016-10-18 D. A. Garanin , E. M. Chudnovsky

We study the ground state (GS) many-body quantum entanglement of two different transverse field models on a quasi-2D square lattice relevant to a Hydrogen-bonded crystal, i.e, squaric acid. We measure the genuine multipartite…

强关联电子 · 物理学 2021-02-01 Vikas Vijigiri , K G Paulson , Saptarshi Mandal , A M Jayannavar

We determine the speed of a crystallisation (or more generally, a solidification) front as it advances into the uniform liquid phase after the system has been quenched into the crystalline region of the phase diagram. We calculate the front…

软凝聚态物质 · 物理学 2013-03-25 A. J. Archer , M. J. Robbins , U. Thiele , E. Knobloch

We investigate numerically disorder chaos in spin glasses, i.e. the sensitivity of the ground state to small changes of the random couplings. Our study focuses on the Edwards-Anderson model in d=1,2,3 and in mean-field. We find that in all…

无序系统与神经网络 · 物理学 2007-05-23 Florent Krzakala , Jean-Philippe Bouchaud

In a recent study we have reported a new type of trial wave function symmetric under the exchange of particles and which is able to describe a supersolid phase. In this work, we use the diffusion Monte Carlo method and this model wave…

其他凝聚态物理 · 物理学 2015-05-28 C. Cazorla , G. E. Astrakharchik , J. Casulleras , J. Boronat

We investigate the ground state properties of ultracold atoms with long range interactions trapped in a two leg ladder configuration in the presence of an artificial magnetic field. Using a Gross-Pitaevskii approach and a mean field…

量子气体 · 物理学 2017-06-07 Rashi Sachdeva , Manpreet Singh , Thomas Busch

We investigate the ground-state energy and spin of disordered quantum dots using spin-density-functional theory. Fluctuations of addition energies (Coulomb-blockade peak spacings) do not scale with average addition energy but remain…

介观与纳米尺度物理 · 物理学 2009-11-07 Kenji Hirose , Ned S. Wingreen

We present a field-theory description of ultracold bosonic atoms in presence of a disordered external potential. By means of functional integration techniques, we aim to investigate and review the interplay between disordered energy…

量子气体 · 物理学 2019-06-18 Alberto Cappellaro , Luca Salasnich

The one dimensional S=1/2 XXZ model with dimerization (1-j) and quadrumerization \delta is studied by the numerical exact diagonalization of finite size systems. Using the conformal field theory and the level spectroscopy method, we…

统计力学 · 物理学 2009-10-31 Wei Chen , Kazuo Hida

We study effects of quenched bond disorder in frustrated easy-plane antiferromagnets in two space dimensions, using a combination of analytical and numerical techniques. We consider local-moment systems which display non-collinear…

强关联电子 · 物理学 2020-09-16 Santanu Dey , Eric C. Andrade , Matthias Vojta

The Bose-Hubbard model is well-defined description of a Bose solid which may be realistic for cold atoms in a periodic optical lattice. We show that contrary to accepted theories it can never have as a ground state a perfect Mott insulator…

量子气体 · 物理学 2011-02-24 Philip W Anderson