Anomalous phase transitions in class-D topological systems with nonreciprocal couplings

IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
Kai-Xin Hu , Yu Yan , Zhi-Xu Zhang , Shutian Liu , Wen-Xue Cui , Ji Cao , Shou Zhang , Hong-Fu Wang
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引用次数: 0

Abstract

We investigate class-D topological systems with nonreciprocal couplings and demonstrate their ability to host anomalous phase transitions. Specifically, we precisely determine the topological phase, characterized by the Chern number and bulk polarization, using the Green’s function and Wilson loop approaches. We rigorously confirm the validity of the anomalous transition lines by observing a remarkable consistency between the analytical zero-energy conditions and numerical phase transition boundaries. Meanwhile, bound states are present at the anomalous transition lines, but absent at the normal transition lines. Moreover, these bound states are localized at the system boundaries and are robust to disorders. Our work demonstrates that the anomalous transition lines in class-D Hermitian systems with nonreciprocal couplings exhibit richer physical phenomena than the normal transition lines, advancing the understanding of topological phase transitions.

Abstract Image

非互易耦合的d类拓扑系统中的反常相变
我们研究了具有非互易耦合的d类拓扑系统,并证明了它们承载异常相变的能力。具体地说,我们精确地确定拓扑相位,以陈氏数和体极化为特征,使用格林函数和威尔逊环路方法。通过观察到解析的零能条件和数值相变边界之间的显著一致性,我们严格地证实了异常过渡线的有效性。同时,束缚态在异常跃迁线上存在,而在正常跃迁线上不存在。此外,这些束缚态在系统边界处具有一定的局域性,并且对扰动具有鲁棒性。我们的工作表明,具有非互易耦合的d类厄米系统中的异常过渡线比正常过渡线表现出更丰富的物理现象,促进了对拓扑相变的理解。
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来源期刊
Chinese Journal of Physics
Chinese Journal of Physics 物理-物理:综合
CiteScore
8.50
自引率
10.00%
发文量
361
审稿时长
44 days
期刊介绍: The Chinese Journal of Physics publishes important advances in various branches in physics, including statistical and biophysical physics, condensed matter physics, atomic/molecular physics, optics, particle physics and nuclear physics. The editors welcome manuscripts on: -General Physics: Statistical and Quantum Mechanics, etc.- Gravitation and Astrophysics- Elementary Particles and Fields- Nuclear Physics- Atomic, Molecular, and Optical Physics- Quantum Information and Quantum Computation- Fluid Dynamics, Nonlinear Dynamics, Chaos, and Complex Networks- Plasma and Beam Physics- Condensed Matter: Structure, etc.- Condensed Matter: Electronic Properties, etc.- Polymer, Soft Matter, Biological, and Interdisciplinary Physics. CJP publishes regular research papers, feature articles and review papers.
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