Momentum-space modulated symmetries in the Luttinger liquid

IF 3.7 2区 物理与天体物理 Q1 Physics and Astronomy
Alexandre Chaduteau, Nyan Raess, Henry Davenport, Frank Schindler
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引用次数: 0

Abstract

The chiral Luttinger liquid develops quantum chaos as soon as a—however slight—nonlinear dispersion is introduced for the microscopic electronic degrees of freedom. For this nonlinear version of the model, we identify an infinite family of translation-invariant interaction potentials with corresponding modulated symmetries. These symmetries are highly unconventional: they are modulated in momentum space (and do not seem to have an easy physical interpretation). We develop a systematic understanding of these symmetries and study the resulting blocks in the Hamiltonian. In particular, this approach allows us to predict the analytic Hamiltonian block sizes and derive asymptotic scaling laws in the limit of large total momentum. These blocks are reminiscent of Hilbert space fragmentation in that, even though they are labeled by a symmetry, this symmetry is highly nonlocal and does not have a simple interpretation. We corroborate this result by studying entanglement entropy and level statistics. Published by the American Physical Society 2025
Luttinger液体中的动量-空间调制对称性
当引入微观电子自由度的非线性色散时,手性Luttinger液体就会产生量子混沌。对于该模型的非线性版本,我们确定了具有相应调制对称性的平移不变相互作用势的无限族。这些对称性是非常非常规的:它们在动量空间中被调制(并且似乎没有一个简单的物理解释)。我们对这些对称性有了系统的理解,并研究了哈密顿量中产生的块。特别是,这种方法使我们能够预测解析哈密顿块大小,并推导出大总动量极限下的渐近标度定律。这些块让人想起希尔伯特空间碎片,即使它们被对称标记,这种对称是高度非局部的,没有一个简单的解释。我们通过研究纠缠熵和能级统计证实了这一结果。2025年由美国物理学会出版
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来源期刊
Physical Review B
Physical Review B 物理-物理:凝聚态物理
CiteScore
6.70
自引率
32.40%
发文量
0
审稿时长
3.0 months
期刊介绍: Physical Review B (PRB) is the world’s largest dedicated physics journal, publishing approximately 100 new, high-quality papers each week. The most highly cited journal in condensed matter physics, PRB provides outstanding depth and breadth of coverage, combined with unrivaled context and background for ongoing research by scientists worldwide. PRB covers the full range of condensed matter, materials physics, and related subfields, including: -Structure and phase transitions -Ferroelectrics and multiferroics -Disordered systems and alloys -Magnetism -Superconductivity -Electronic structure, photonics, and metamaterials -Semiconductors and mesoscopic systems -Surfaces, nanoscience, and two-dimensional materials -Topological states of matter
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