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一维硬玻色子模型中的漂浮相与手征转变

Floating Phase versus Chiral Transition in a 1D Hard-Boson Model.

作者信息

Chepiga Natalia, Mila Frédéric

机构信息

Department of Physics and Astronomy, University of California, Irvine, California 92697, USA.

Institute of Physics, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland.

出版信息

Phys Rev Lett. 2019 Jan 11;122(1):017205. doi: 10.1103/PhysRevLett.122.017205.

DOI:10.1103/PhysRevLett.122.017205
PMID:31012686
Abstract

We investigate the nature of the phase transition between the period-three charge-density wave and the disordered phase of a hard-boson model proposed in the context of cold-atom experiments. Building on a density-matrix renormalization group algorithm that takes full advantage of the hard-boson constraints, we study systems with up to 9000 sites and calculate the correlation length and the wave vector of the incommensurate short-range correlations with unprecedented accuracy. We provide strong numerical evidence that there is an intermediate floating phase far enough from the integrable Potts point, while in its vicinity, our numerical data are consistent with a unique transition in the Huse-Fisher chiral universality class.

摘要

我们研究了在冷原子实验背景下提出的硬玻色子模型中,周期为三的电荷密度波与无序相之间相变的本质。基于充分利用硬玻色子约束的密度矩阵重整化群算法,我们研究了多达9000个格点的系统,并以前所未有的精度计算了非 commensurate 短程关联的关联长度和波矢。我们提供了强有力的数值证据,表明存在一个远离可积 Potts 点的中间浮动相,而在其附近,我们的数值数据与 Huse-Fisher 手征普适类中的唯一相变是一致的。

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