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Anomalous global symmetries, which can be realized on the boundary of symmetry-protected topological phases, brings new phases and phase transitions to condensed matter physics. In this work, we study a one dimensional model with an…

Strongly Correlated Electrons · Physics 2022-11-11 Jin-Xiang Hao , Wei Li , Yang Qi

The one-dimensional (1D) domain wall of 2D $\mathbb{Z}_{2}$ topological orders is studied theoretically. The Ising domain wall model is shown to have an emergent SU(2)$_{1}$ conformal symmetry because of a hidden nonsymmorphic octahedral…

Strongly Correlated Electrons · Physics 2026-01-21 Hong-Hao Song , Chen Peng , Rui-Zhen Huang , Long Zhang

In light of recent progress in the study of amorphous topological phases, we investigate the effects of structural disorder on the topological properties of a two-dimensional quantum spin Hall insulator modeled by the Bernevig-Hughes-Zhang…

Disordered Systems and Neural Networks · Physics 2025-10-28 Ranadeep Roy , Yuan-Ming Lu

Transitions between different topologically ordered phases have been studied by artificially creating boundaries between these gapped phases and thus studying their effects relating to condensation and tunneling of particles from one phase…

Strongly Correlated Electrons · Physics 2015-10-23 Pramod Padmanabhan , Miguel Jorge Bernabé Ferreira , Paulo Teotonio-Sobrinho

We show that time reversal symmetry breaking $p_x+ip_y$ wave superconductors undergo several phase transitions subjected to external magnetic field or supercurrent. In such system the discrete $Z_2$ symmetry can recover before the complete…

Superconductivity · Physics 2014-09-16 Vasily Vadimov , Mihail Silaev

We study the time evolution of correlation functions, spin current, and local magnetization in an isolated spin-1/2 chain initially prepared in a sharp domain wall state. The results are compared with the level of spatial delocalization of…

Statistical Mechanics · Physics 2015-05-28 Lea F. Santos , Aditi Mitra

We investigate an effective model of proximity modified graphene (or symmetrylike materials) with broken time-reversal symmetry. We predict the appearance of quantum anomalous Hall phases by computing bulk band gap and Chern numbers for…

Mesoscale and Nanoscale Physics · Physics 2020-04-07 Petra Högl , Tobias Frank , Klaus Zollner , Denis Kochan , Martin Gmitra , Jaroslav Fabian

We present a theoretical study of quantum phases and quantum phase transitions occurring in non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric superconducting qubits chains described by a transverse-field Ising spin model. A non-Hermitian…

Quantum Physics · Physics 2023-08-15 Grigory A. Starkov , Mikhail V. Fistoul , Ilya M. Eremin

We propose a simple model consisting of a magnetic domain wall proximity-coupled to an $s$-wave superconductor for realization of Majorana zero-energy modes. A spin-dependent gauge transformation translates the rotating magnetic profile…

Strongly Correlated Electrons · Physics 2016-03-24 Babak Zare Rameshti , Yaser Hajati , Imam Makhfudz

The anomalous spin Hall conductivity in the holographic model of Dirac semimetals with two Dirac nodes protected by the crystal symmetry has been elaborated. Such system besides the chiral anomaly possesses another anomaly which is related…

High Energy Physics - Theory · Physics 2021-10-19 Bartłomiej Kiczek , Marek Rogatko , Karol I. Wysokiński

We consider the Abelian-Higgs model in 2+1 dimensions with instanton-monopole defects. This model is closely related to the phases of quantum anti-ferromagnets. In the presence of $\mathbb{Z}_2$ preserving monopole operators, there are two…

Strongly Correlated Electrons · Physics 2018-02-28 Zohar Komargodski , Tin Sulejmanpasic , Mithat Ünsal

We study a Kagome-like spin-$1/2$ Heisenberg ladder with competing ferromagnetic (FM) and antiferromagnetic (AFM) exchange interactions. Using the density-matrix renormalization group based calculations, we obtain the ground state phase…

Strongly Correlated Electrons · Physics 2021-05-13 Tomoki Yamaguchi , Yukinori Ohta , Satoshi Nishimoto

We construct infinitely many new exactly solvable local commuting projector lattice Hamiltonian models for general bosonic beyond group cohomology invertible topological phases of order two and four in any spacetime dimensions, whose…

Strongly Correlated Electrons · Physics 2023-05-03 Yu-An Chen , Po-Shen Hsin

We study the nature of domain walls in an ordered phase in the phase-competing region of two Ising-type order parameters. Considering a two-component $\phi^4$ theory, we show that the domain wall of the ground-state (primary) order…

Statistical Mechanics · Physics 2018-04-23 Hiroaki Ishizuka , Yasusada Yamada , Naoto Nagaosa

We construct a dual symmetry-protected topological (SPT) Hamiltonian for the $U(1)$ symmetric anisotropic spin-$\frac{1}{2}$ Heisenberg chain-a model that has traditionally been used to study spontaneous symmetry breaking (SSB) in both…

Strongly Correlated Electrons · Physics 2025-07-31 Yicheng Tang , Pradip Kattel , Natan Andrei

Recent developments have revealed that symmetries need not form a group, but instead can be non-invertible. Here we use analytical arguments and numerical evidence to illuminate how spontaneous symmetry breaking of a non-invertible symmetry…

Strongly Correlated Electrons · Physics 2026-05-29 Kristian Tyn Kai Chung , Umberto Borla , Andriy H. Nevidomskyy , Sergej Moroz

Protection of topological surface states by reflection symmetry breaks down when the boundary of the sample is misaligned with one of the high symmetry planes of the crystal. We demonstrate that this limitation is removed in amorphous…

Mesoscale and Nanoscale Physics · Physics 2021-08-10 Helene Spring , Anton R. Akhmerov , Daniel Varjas

We study possible many body phenomena in the Quantum Anomalous Hall system of weakly interacting spinor bosons in a square lattice. There are various novel spin-bond correlated superfluids (SF) and quantum or topological phase transitions…

Quantum Gases · Physics 2017-12-01 Fadi Sun , Junsen Wang , Jinwu Ye , Shaui Chen , Youjin Deng

We construct an exactly solvable commuting projector model for a $4+1$ dimensional ${\mathbb Z}_2$ symmetry-protected topological phase (SPT) which is outside the cohomology classification of SPTs. The model is described by a decorated…

Strongly Correlated Electrons · Physics 2020-05-07 Lukasz Fidkowski , Jeongwan Haah , Matthew B. Hastings

A finite length ferromagnetic chain with opposite spin polarisation imposed at its two ends is one of the simplest frustrated spin models. In the clean classical limit the domain wall inserted on account of the boundary conditions resides…

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