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Spin-momentum helical locking is one of the most important properties of the nontrivial topological surface states (TSS) in 3D topological insulators (TI). It underlies the iconic topological protection (suppressing elastic backscattering)…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Jifa Tian , Isaac Childres , Helin Cao , Shen Tian , Ireneusz Miotkowski , Yong P. Chen

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…

Mesoscale and Nanoscale Physics · Physics 2010-06-22 Roger S. K. Mong , Andrew M. Essin , Joel E. Moore

In this work, a quantum dot couples to two helical edge states of a 2D topological insulator through weak tunnelings is studied. We show that if the electron interactions on the edge states are repulsive, with Luttinger liquid parameter $ K…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 K. T. Law , C. Y. Seng , Patrick A. Lee , T. K. Ng

The underlying Fermi surface is a key concept for strongly-interacting electron models and has been introduced to generalize the usual notion of the Fermi surface to generic (superconducting or insulating) systems. By using improved…

Strongly Correlated Electrons · Physics 2013-05-30 Luca F. Tocchio , Federico Becca , Claudius Gros

We investigate the Kondo effect in the two-dimensional electron system with a non-trivial quadratic energy band crossing point. We show that the Kondo effect can induce a new hybrid topological insulator phase which is a coexistence state…

Strongly Correlated Electrons · Physics 2016-10-04 Rui Wang , Baigeng Wang , L. Sheng , D. Y. Xing , Jian Wang

The Widom line identifies the locus in the phase diagram where a supercritical gas crosses over from gas-like to a more liquid-like behavior. A similar transition exists in correlated electron liquids, where the interplay of Coulomb…

The recently introduced classification of two-dimensional insulators in terms of topological crystalline invariants has been applied so far to "obstructed" atomic insulators characterized by a mismatch between the centers of the electronic…

We point out certain symmetry induced constraints on topological order in Mott Insulators (quantum magnets with an odd number of spin $\tfrac{1}{2}$ per unit cell). We show, for example, that the double semion topological order is…

Strongly Correlated Electrons · Physics 2015-04-21 Michael P. Zaletel , Ashvin Vishwanath

We study the problem of designing an artificial Mott insulator in a correlated oxide heterostructure. We consider the extreme limit of quantum confinement based on ionic discontinuity doping, and argue that a unique dimer Mott insulator can…

Strongly Correlated Electrons · Physics 2013-04-30 Ru Chen , SungBin Lee , Leon Balents

Topological quantum paramagnets are exotic states of matter, whose magnetic excitations have a topological band structure, while the ground state is topologically trivial. Here we show that a simple model of quantum spins on a honeycomb…

Strongly Correlated Electrons · Physics 2019-07-31 Darshan G. Joshi , Andreas P. Schnyder

The presence of spin-orbit coupling drives the anomalous magnetotransport at oxide interfaces and forms the basis for numerous intriguing properties of these 2D electron systems, such as topologically protected phases or anti-localization.…

Strongly Correlated Electrons · Physics 2018-02-28 Patrick Seiler , Jone Zabaleta , Robin Wanke , Jochen Mannhart , Thilo Kopp , Daniel Braak

In strongly correlated electron systems the constraint which prohibits the double electron occupation at local sites can be realized by either the infinite Coulomb interaction or the correlated hopping interaction described by the Hubbard…

Strongly Correlated Electrons · Physics 2019-04-30 Xiao-Yong Feng , Jianhui Dai

Two-dimensional topological superconductivity has attracted great interest due to the emergence of Majorana modes bound to vortices and propagating along edges. However, due to its rare appearance in natural compounds, experimental…

Mesoscale and Nanoscale Physics · Physics 2018-07-19 J. L. Lado , M. Sigrist

We investigated a system based solely on a single molecular species, Cu(tmdt)$_{2}$, accommodating $d$ and ${\pi}$ orbitals within the molecule. $^{13}$C nuclear magnetic resonance measurements captured singlet-triplet excitations of…

Materials Science · Physics 2017-03-17 Rina Takagi , Takamasa Hamai , Hiro Gangi , Kazuya Miyagawa , Biao Zhou , Akiko Kobayashi , Kazushi Kanoda

We investigate topological insulating states in both two and three dimensions with the harmonic potential and strong spin-orbit couplings breaking the inversion symmetry. Landau-level like quantizations appear with the full 2D and 3D…

Mesoscale and Nanoscale Physics · Physics 2012-03-26 Yi Li , Xiangfa Zhou , Congjun Wu

A quantum spin Hall insulator hosts topological states at the one-dimensional edge, along which backscattering by nonmagnetic impurities is strictly prohibited and dissipationless current flows. Its 3D analogue, a weak topological insulator…

In this work we study the possible occurrence of topological insulators for 2D fermions of high spin. They can be realized in cold fermion systems with ground-state atomic spin $F>\tfrac{1}{2}$, if the optical potential is properly…

Strongly Correlated Electrons · Physics 2018-10-31 Igor Kuzmenko , Tetyana Kuzmenko , Yshai Avishai , Masatoshi Sato

We construct continuum models of 3D and 4D topological insulators by coupling spin-1/2 fermions to an SU(2) background gauge field, which is equivalent to a spatially dependent spin-orbit coupling. Higher dimensional generalizations of flat…

Strongly Correlated Electrons · Physics 2013-11-01 Yi Li , Shou-Cheng Zhang , Congjun Wu

We investigate spin transport in two dimensional ferromagnetic (FTI) and antiferromagnetic (AFTI) topological insulators. In presence of an in plane magnetization AFTI supports zero energy modes, which enables topologically protected edge…

Mesoscale and Nanoscale Physics · Physics 2017-01-26 Sumit Ghosh , Aurelien Manchon

We construct a minimal four-band model for the two-dimensional (2D) topological insulators and quantum anomalous Hall insulators based on the $p_x$- and $p_y$-orbital bands in the honeycomb lattice. The multiorbital structure allows the…

Mesoscale and Nanoscale Physics · Physics 2014-08-12 Gu-Feng Zhang , Yi Li , Congjun Wu