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We present a large class of three-dimensional spin models that possess topological order with stability against local perturbations, but are beyond description of topological quantum field theory. Conventional topological spin liquids, on a…

强关联电子 · 物理学 2013-09-17 Beni Yoshida

We propose a $\mathbb{Z}_{2}$ classification of Abelian time-reversal fractional topological insulators in terms of the composite fermions picture. We consider the standard toy model where spin up and down electrons are subjected to…

强关联电子 · 物理学 2012-02-24 Dario Ferraro , Giovanni Viola

Quantum spin-hall insulator (QSHI) processes nontrivial topology. We notice that the electronic structures of some particular QSHIs are favorable for realization of excitonic insulators (EIs). Using first-principles many-body perturbation…

材料科学 · 物理学 2023-04-04 Huaiyuan Yang , Jiaxi Zeng , Yuelin Shao , Yuanfeng Xu , Xi Dai , Xin-Zheng Li

We determine conditions on the filling of electrons in a crystalline lattice to obtain the equivalent of a band insulator -- a gapped insulator with neither symmetry breaking nor fractionalized excitations. We allow for strong interactions,…

强关联电子 · 物理学 2016-03-18 Haruki Watanabe , Hoi Chun Po , Ashvin Vishwanath , Michael P. Zaletel

Noninteracting insulating electronic states of matter can be classified according to their symmetries in terms of topological invariants which can be related to effective surface theories. These effective surface theories are in turn…

介观与纳米尺度物理 · 物理学 2015-06-19 Bart de Leeuw , Carolin Küppersbusch , Vladimir Juricic , Lars Fritz

Topological crystalline insulators are topological insulators whose surface states are protected by the crystalline symmetry, instead of the time reversal symmetry. Similar to the first generation of three-dimensional topological insulators…

材料科学 · 物理学 2015-06-23 Jie Shen , Judy J. Cha

The quantum spin Hall state is a topologically non-trivial insulator state protected by the time reversal symmetry. We show that such a state always leads to spin-charge separation in the presence of a $\pi$ flux. Our result is generally…

介观与纳米尺度物理 · 物理学 2009-11-13 Xiao-Liang Qi , Shou-Cheng Zhang

Spin insulatronics covers efforts to generate, detect, control, and utilize high-fidelity pure spin currents and excitations inside magnetic insulators. Ultimately, the new findings may open doors for pure spin-based information and…

介观与纳米尺度物理 · 物理学 2020-10-27 Arne Brataas , Bart van Wees , Olivier Klein , Gregoire de Loubens , Michel Viret

When adiabatically varied in time, certain one-dimensional band insulators allow for the quantized noiseless pumping of spin even in the presence of strong spin orbit scattering. These spin pumps are closely related to the quantum spin Hall…

介观与纳米尺度物理 · 物理学 2013-07-31 Dganit Meidan , Tobias Micklitz , Piet W. Brouwer

Topological insulators are new states of quantum matter which can not be adiabatically connected to conventional insulators and semiconductors. They are characterized by a full insulating gap in the bulk and gapless edge or surface states…

介观与纳米尺度物理 · 物理学 2011-11-09 Xiao-Liang Qi , Shou-Cheng Zhang

Topology in condensed matter physics manifests itself in the emergence of edge or surface states protected by underlying symmetries. We review two-dimensional topological insulators whose one-dimensional edge states are characterized by…

介观与纳米尺度物理 · 物理学 2016-03-01 Giacomo Dolcetto , Maura Sassetti , Thomas L. Schmidt

When interacting spins in condensed matter order ferromagnetically, their ground state wave function is topologically trivial. Nonetheless, in two dimensions, the ferromagnetic state can support spin excitations with nontrivial topology, an…

介观与纳米尺度物理 · 物理学 2021-07-14 Alexander Mook , Sebastián A. Díaz , Jelena Klinovaja , Daniel Loss

We argue that topological Kondo insulators can also have 'intrinsic' topological order associated with fractionalized excitations on their surfaces. The hydridization between the local moments and conduction electrons can weaken near the…

强关联电子 · 物理学 2016-03-09 Alex Thomson , Subir Sachdev

Electrons hopping on the sites of a two-dimensional Lieb lattice and three-dimensional edge centered cubic (perovskite) lattice are shown to form topologically non-trivial insulating phases when spin-orbit coupling is introduced. These…

介观与纳米尺度物理 · 物理学 2010-11-11 C. Weeks , M. Franz

Introducing internal degrees of freedom in the description of topological insulators has led to a myriad of theoretical and experimental advances. Of particular interest are the effects of periodic perturbations, either in time or space, as…

介观与纳米尺度物理 · 物理学 2023-04-05 Ioannis Petrides , Oded Zilberberg

Topological crystalline insulators (TCI) possess electronic states protected by crystal symmetries, rather than time-reversal symmetry. We show that the transition metal oxides with heavy transition metals are able to support nontrivial…

强关联电子 · 物理学 2015-06-12 Mehdi Kargarian , Gregory A. Fiete

The two-dimensional electron systems in graphene and in topological insulators are described by massless Dirac equations. Although the two systems have similar Hamiltonians, they are polar opposites in terms of spin-orbit coupling strength.…

介观与纳米尺度物理 · 物理学 2013-08-16 D. A. Pesin , A. H. MacDonald

We study the nature of (001) surface states in Pb_{0.73}Sn_{0.27}Se in the newly discovered topological-crystalline-insulator (TCI) phase as well as the corresponding topologically trivial state above the band-gap-inversion temperature. Our…

Topological insulators exhibit gapless edge or surface states that are topologically protected by time-reversal symmetry. However, several promising candidates for topologically insulating materials (such as Bi$_2$Se$_3$ and HgTe) contain…

介观与纳米尺度物理 · 物理学 2018-07-11 Arian Vezvaee , Antonio Russo , Sophia E. Economou , Edwin Barnes

Topological Surface States (TSS) represent new types of two dimensional electron systems with novel and unprecedented properties distinct from any quantum Hall-like or spin-Hall effects. Their Z$_2$ topological order can be realized at room…

介观与纳米尺度物理 · 物理学 2014-01-07 M. Zahid Hasan , Su-Yang Xu , David Hsieh , L. Andrew Wray , Yuqi Xia