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We investigate a uniformly coupled non-Hermitian system with asymmetric coupling amplitude. The asymmetric coupling equals to a symmetric coupling threaded by an imaginary gauge field. In a closed configuration, the imaginary gauge field…

Quantum Physics · Physics 2019-06-20 P. Wang , L. Jin , Z. Song

Non-Hermitian lattices under semi-infinite boundary conditions sustain an extensive number of exponentially-localized states, dubbed non-Hermitian skin modes. Such states can be predicted from the nontrivial topology of the energy spectrum…

Quantum Physics · Physics 2022-07-26 Stefano Longhi

We study quantum phase transitions in graphene superlattices in external magnetic fields, where a framework is presented to classify multiflavor Dirac fermion critical points describing hopping tuned topological phase transitions of integer…

Strongly Correlated Electrons · Physics 2020-12-11 Jian Wang , Luiz H. Santos

Non-invertible categorical symmetries have emerged as a powerful tool to uncover new beyond-Landau phases of matter, both gapped and gapless, along with second order phase transitions between them. The general theory of such phases in…

Strongly Correlated Electrons · Physics 2026-05-13 Lakshya Bhardwaj , Lea E. Bottini , Sakura Schafer-Nameki , Apoorv Tiwari

Non-Hermitian physics traditionally relies on active gain--loss modulation or non-reciprocal couplings, which often introduce significant complexity, compromise stability, and offer very limited scalability in conservative systems. Here we…

Other Condensed Matter · Physics 2026-03-19 Haoran Nie , Chaoran Jiang , Xiangying Shen , Lei Xu

Topological metamaterials exhibit unusual behaviors at their boundaries, such as unidirectional chiral waves, that are protected by a topological feature of their band structure. The ability to tune such a material through a topological…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 Noah P. Mitchell , Lisa M. Nash , William T. M. Irvine

In closed quantum systems, a dynamical phase transition is identified by nonanalytic behaviors of the return probability as a function of time. In this work, we study the nonunitary dynamics following quenches across exceptional points in a…

Statistical Mechanics · Physics 2018-08-29 Longwen Zhou , Qing-hai Wang , Hailong Wang , Jiangbin Gong

We theoretically investigate topological properties of the one-dimensional superlattice anyon-Hubbard model, which can be mapped to a superlattice bose-Hubbard model with an occupation-dependent phase factor by fractional Jordan-Wigner…

Strongly Correlated Electrons · Physics 2018-03-21 Zheng-Wei Zuo , Guo-Ling Li , Liben Li

Non-Hermitian effects could trigger spectrum, localization and topological phase transitions in quasiperiodic lattices. We propose a non-Hermitian extension of the Maryland model, which forms a paradigm in the study of localization and…

Quantum Physics · Physics 2022-01-13 Longwen Zhou , Yongjian Gu

In a system of interacting thin rigid rods of equal length $2 \ell$ on a two-dimensional grid of lattice spacing $a$, we show that there are multiple phase transitions as the coupling strength $\kappa=\ell/a$ and the temperature are varied.…

Statistical Mechanics · Physics 2022-11-23 Juliane U. Klamser , Tridib Sadhu , Deepak Dhar

We investigate the existence of quantum {\it quasi} phase transitions for an ensemble of ultracold bosons in a one-dimensional optical lattice, performing exact diagonalizations of the Bose-Hubbard Hamiltonian. When an external parabolic…

Condensed Matter · Physics 2009-11-10 G. Pupillo , E. Tiesinga , C. J. Williams

We investigate the phase diagram and the nature of the phase transitions of three-dimensional lattice gauge-Higgs models obtained by gauging the Z_N subgroup of the global Z_q invariance group of the Z_q clock model (N is a submultiple of…

Statistical Mechanics · Physics 2022-06-01 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

Transfer of information between topological edge states is a robust way of spatially manipulating quantum states while preserving their coherence in lattice environments. This method is particularly efficient when the edge modes are kept…

Phase transitions are a central theme of statistical mechanics, and of probability more generally. Lattice spin models represent a general paradigm for phase transitions in finite dimensions, describing ferromagnets and even some fluids…

Probability · Mathematics 2017-07-04 Hugo Duminil-Copin

Non-Hermiticity can vary the topology of system, induce topological phase transition, and even invalidate the conventional bulk-boundary correspondence. Here, we show the introducing of non-Hermiticity without affecting the topological…

Mesoscale and Nanoscale Physics · Physics 2019-07-30 K. L. Zhang , H. C. Wu , L. Jin , Z. Song

Considering one-dimensional nonminimally-coupled lattice gauge theories, a class of nonlocal one-dimensional systems is presented, which exhibits a phase transition. It is shown that the transition has a latent heat, and, therefore, is a…

High Energy Physics - Theory · Physics 2007-05-23 M. Khorrami

We investigate the phase diagram and critical behavior of three-dimensional multicomponent Abelian-Higgs models, in which an N-component complex field z_x^a of unit length and charge is coupled to compact quantum electrodynamics in the…

Statistical Mechanics · Physics 2019-10-30 Andrea Pelissetto , Ettore Vicari

We propose a scheme to investigate the topological phase transition and the topological state transfer based on the small optomechanical lattice under the realistic parameters regime. We find that the optomechanical lattice can be…

Quantum Physics · Physics 2020-09-02 Lu Qi , Guo-Li Wang , Shutian Liu , Shou Zhang , Hong-Fu Wang

We consider gauge theories of non-Abelian $finite$ groups, and discuss the 1+1 dimensional lattice gauge theory of the permutation group $S_N$ as an illustrative example. The partition function at finite $N$ can be written explicitly in a…

High Energy Physics - Theory · Physics 2021-07-07 Nirmalya Brahma , Chethan Krishnan

We give the details of the analysis for critical properties of spin-gap phases in one-dimensional lattice electron models. In the Tomonaga-Luttinger (TL) liquid theory, the spin-gap instability occurs when the backward scattering changes…

Strongly Correlated Electrons · Physics 2009-10-31 Masaaki Nakamura , Atsuhiro Kitazawa , Kiyohide Nomura
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