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The breaking of time-reversal symmetry by ferromagnetism is predicted to yield profound changes to the electronic surface states of a topological insulator. Here, we report on a concerted set of structural, magnetic, electrical and…

In recent decades, the Altland-Zirnabuer (AZ) table has proven incredibly powerful in delineating constraints for topological classification of a given band-insulator based on dimension and (nonspatial) symmetry class, and has also been…

Mesoscale and Nanoscale Physics · Physics 2024-03-07 Alexander C. Tyner , Vladimir Juričić

Two-dimensional topological insulators, characterized by symmetry-protected anomalous boundary modes, have been generalized to the strongly correlated regime for both bosonic and fermionic systems. As correlated topological insulators (TI)…

Strongly Correlated Electrons · Physics 2025-11-18 Yixin Ma , Chao Xu , Shenghan Jiang

Antiferromagnetic (AF) topological materials offer a fertile ground to explore a variety of quantum phenomena such as axion magnetoelectric dynamics and chiral Majorana fermions. To realize such intriguing states, it is essential to…

Crystalline topological phases have recently attracted a lot of experimental and theoretical attention. Key advances include the complete elementary band representation analyses of crystalline matter by symmetry indicators and the discovery…

Mesoscale and Nanoscale Physics · Physics 2019-02-13 Eyal Cornfeld , Adam Chapman

Gapping of Dirac surface states through time reversal symmetry breaking may realize the axion insulator state in condensed matter. Despite tremendous efforts, only a few material systems fall in this category of intrinsic magnetic…

Strongly Correlated Electrons · Physics 2022-10-12 Mingda Gong , Divyanshi Sar , Joel Friedman , Dariusz Kaczorowski , S. Abdel Razek , Wei-Cheng Lee , Pegor Aynajian

In the strictly periodic setting, the electric polarization of inversion-symmetric solids with and without time-reversal symmetry and the isotropic magneto-electric response function of time-reversal symmetric insulators are known to be…

Disordered Systems and Neural Networks · Physics 2015-11-11 Juntao Song , Emil Prodan

Threading magnetic flux into topological phases can induce bound states that reveal intrinsic properties of the ground state. In a 3D $\mathbb{Z}_2$ topological insulator, a quantized $\pi$ flux traps a pair of 1D helical modes, whereas a…

Mesoscale and Nanoscale Physics · Physics 2025-08-13 Yechen Xun , Rui-Xing Zhang

Topologically protected fermionic quasiparticles occur in metals with band degeneracy as a consequence of band structure topology. Here we unveil topological semimetal and metal phases in a variety of non-symmorphic collinear…

Strongly Correlated Electrons · Physics 2017-04-12 Wojciech Brzezicki , Mario Cuoco

The electronic ground state of a three-dimensional (3D) band insulator with time-reversal ($\Theta$) symmetry or time-reversal times a discrete translation ($\Theta T_{1/2}$) symmetry is classified by a $\mathbb{Z}_{2}$-valued topological…

Mesoscale and Nanoscale Physics · Physics 2024-10-23 Chao Lei , Perry T. Mahon , Allan H. MacDonald

Topological magnetoelectric effect (TME) is a hallmark response of the topological field theory, which provides a paradigm shift in the study of emergent topological phenomena. However, its direct observation is yet to be realized due to…

Mesoscale and Nanoscale Physics · Physics 2022-08-02 Yuhao Wan , Jiayu Li , Qihang Liu

Axion electrodynamics, first proposed in the context of particle physics, manifests itself in condensed matter physics in the topological field theory description of 3d topological insulators and gives rise to magnetoelectric effect, where…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 Imam Makhfudz

Using a specially designed Monte Carlo algorithm with directed loops, we investigate the triangular lattice Ising antiferromagnet with coupling beyond nearest neighbour. We show that the first-order transition from the stripe state to the…

Strongly Correlated Electrons · Physics 2016-05-11 Andrew Smerald , Sergey Korshunov , Frederic Mila

We report on a topological insulating state in a heavy-fermion system away from half-filling, which is hidden within a ferromagnetic metallic phase. In this phase, the cooperation of the RKKY interaction and the Kondo effect, together with…

Strongly Correlated Electrons · Physics 2013-04-16 Tsuneya Yoshida , Robert Peters , Satoshi Fujimoto , Norio Kawakami

Studying the influence of breaking time-reversal symmetry on topological insulator surface states is an important problem of current interest in condensed matter physics and could provide a route toward proof-of-concept spintronic devices…

Mesoscale and Nanoscale Physics · Physics 2019-03-15 Joon Sue Lee , Anthony Richardella , Robert D. Fraleigh , Chao-xing Liu , Weiwei Zhao , Nitin Samarth

For inversion-symmetric topological insulators and superconductors characterized by ${\mathbb Z}_{2}$ topological invariants, two scaling schemes are proposed to judge topological phase transitions driven by an energy parameter. The scaling…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 Wei Chen , Manfred Sigrist , Andreas P. Schnyder

Spatial confinement of electronic topological surface states (TSS) in topological insulators poses a formidable challenge because TSS are protected by time-reversal symmetry. In previous works formation of a gap in the electronic spectrum…

Higher-order topological crystalline phases in low-dimensional interacting quantum systems represent a challenging and largely unexplored research topic. Here, we derive a Hamiltonian describing fermions interacting through correlated…

Strongly Correlated Electrons · Physics 2023-01-04 A. Montorsi , U. Bhattacharya , Daniel González-Cuadra , M. Lewenstein , G. Palumbo , L. Barbiero

Symmetry-protected topological (SPT) phases exhibit nontrivial order if symmetry is respected but are adiabatically connected to the trivial product phase if symmetry is not respected. However, unlike the symmetry-breaking phase, there is…

Strongly Correlated Electrons · Physics 2016-05-04 Ching-Yu Huang , Tzu-Chieh Wei

Two-dimensional (2D) materials enable new types of magnetic and electronic phases mediated by their reduced dimensionality like magic-angle induced phase transitions, 2D Ising antiferromagnets and ferromagnetism in 2D atomic layers and…

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