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We revisit the question of whether a two-dimensional topological insulator may arise in a commensurate N\'eel antiferromagnet, where staggered magnetization breaks both the elementary translation and time reversal, but retains their product…

强关联电子 · 物理学 2016-04-07 Frédéric Bègue , Pierre Pujol , Revaz Ramazashvili

Symmetry Protected Topological (SPT) phases are a minimal generalization of the concept of topological insulators to interacting systems. In this paper we describe the classification and properties of such phases for three dimensional(3D)…

强关联电子 · 物理学 2015-06-01 Chong Wang , T. Senthil

Antiferromagnetic materials, whose time-reversal symmetry is broken, can be classified into the Z2 topology if they respect some specific symmetry. Since the theoretical proposal, however, no materials have been found to host the…

材料科学 · 物理学 2018-05-30 Kai-Wei Chang , Peng-Jen Chen

A 3D fermionic topological insulator has a gapless Dirac surface state protected by time-reversal symmetry and charge conservation symmetry. The surface state can be gapped by introducing ferromagnetism to break time-reversal symmetry,…

强关联电子 · 物理学 2013-09-24 Parsa Bonderson , Chetan Nayak , Xiao-Liang Qi

We consider antiferromagnets breaking both time-reversal (Theta) and a primitive lattice translational symmetry (T) of a crystal but preserving the combination S = Theta T. The S symmetry leads to a Z_2 topological classification of…

介观与纳米尺度物理 · 物理学 2010-06-22 Roger S. K. Mong , Andrew M. Essin , Joel E. Moore

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…

强关联电子 · 物理学 2017-04-12 Wojciech Brzezicki , Mario Cuoco

We explore topological states with magnetic order in heavy-fermion systems by taking account of a mirror symmetry.Although without spatial symmetry, there is no topological phase in the two-dimensional (2D) antiferromagnetic phases at half…

强关联电子 · 物理学 2018-07-24 Kazuhiro Kimura , Tsuneya Yoshida , Norio Kawakami

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…

Topological heavy-fermion systems in three dimensions are usually classified as topological insulators or semimetals. Here, we theoretically predict a different type of heavy-fermion system (dubbed exceptional heavy-fermion semimetal) by…

强关联电子 · 物理学 2023-02-01 Yu-Liang Tao , Tao Qin , Yong Xu

Topological phases can not only be protected by internal symmetries (e.g., time-reversal symmetry), but also by crystalline symmetries, such as reflection or rotation symmetry. Recently a complete topological classification of reflection…

介观与纳米尺度物理 · 物理学 2015-05-26 Ching-Kai Chiu , Andreas P. Schnyder

We theoretically study the magnetic phase diagram of a three-dimensional topological Kondo insulator by means of real-space dynamical mean field theory. We find that ferromagnetically ordered states become stable upon hole doping. Besides a…

强关联电子 · 物理学 2018-08-08 Robert Peters , Tsuneya Yoshida , Norio Kawakami

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…

强关联电子 · 物理学 2013-04-16 Tsuneya Yoshida , Robert Peters , Satoshi Fujimoto , Norio Kawakami

A two-dimensional topological insulator may arise in a centrosymmetric commensurate N\'{e}el antiferromagnet (AF), where staggered magnetization breaks both the elementary translation and time reversal, but retains their product as a…

强关联电子 · 物理学 2017-04-05 Frédéric Bègue , Pierre Pujol , Revaz Ramazashvili

We define and compute many-body topological invariants of interacting fermionic symmetry-protected topological phases, protected by an orientation-reversing symmetry, such as time-reversal or reflection symmetry. The topological invariants…

强关联电子 · 物理学 2017-05-31 Hassan Shapourian , Ken Shiozaki , Shinsei Ryu

Symmetry-protected topological (SPT) phases of matter have been interpreted in terms of anomalies, and it has been expected that a similar picture should hold for SPT phases with fermions. Here, we describe in detail what this picture means…

介观与纳米尺度物理 · 物理学 2016-08-03 Edward Witten

A topological insulator is a state of matter which does not break any symmetry and is characterized by topological invariants, the integer expectation values of non-local operators. Antiferromagnetism on the other hand is a broken symmetry…

The natural existence of crystalline symmetry in real materials manifests the importance of understanding crystalline symmetry-protected topological (SPT) phases, especially for interacting systems. In this paper, we systematically…

强关联电子 · 物理学 2024-06-19 Jian-Hao Zhang , Shang-Qiang Ning , Yang Qi , Zheng-Cheng Gu

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…

介观与纳米尺度物理 · 物理学 2021-08-10 Helene Spring , Anton R. Akhmerov , Daniel Varjas

Integration between magnetism and topology is an exotic phenomenon in condensed-matter physics. Here, we propose an exotic phase named topological crystalline antiferromagnetic state, in which antiferromagnetism intrinsically integrates…

材料科学 · 物理学 2017-10-11 Ningning Hao , Fawei Zheng , Ping Zhang , Shun-Qing Shen

A major challenge in realizing antiferromagnetic (AF) and superfluid phases in optical lattices is the ability to cool fermions. We determine the equation of state for the 3D repulsive Fermi-Hubbard model as a function of the chemical…

量子气体 · 物理学 2015-05-28 Thereza Paiva , Yen Lee Loh , Mohit Randeria , Richard T. Scalettar , Nandini Trivedi
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