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We introduce a dinstint approach to engineer a topologically protected surface state of a topological insulator. By covering the surface of a topological insulator, Bi2Te2Se, with a Bi monolayer film, the original surface state is…

The opening of a band gap due to compressive uniaxial strain renders bulk HgTe a strong three-dimensional topological insulators with protected gapless surface states at any surface. By employing a six-band k.p model, we determine the spin…

Mesoscale and Nanoscale Physics · Physics 2017-01-05 Frank Kirtschig , Jeroen van den Brink , Carmine Ortix

Topological insulators (TIs) are an important family of quantum materials that exhibit a Dirac point (DP) in the surface band structure but have a finite band gap in bulk. A large degree of spin-orbit interaction and low bandgap is a…

Materials Science · Physics 2024-02-22 Thomas K. Reid , S. Pamir Alpay , Alexander V. Balatsky , Sanjeev K. Nayak

Electrical transport in three dimensional topological insulators(TIs) occurs through spin-momentum locked topological surface states that enclose an insulating bulk. In the presence of a magnetic field, surface states get quantized into…

Mesoscale and Nanoscale Physics · Physics 2018-04-02 Abhishek Banerjee , Ananthesh Sundaresh , Sangram Biswas , R. Ganesan , Diptiman Sen , P. S. Anil Kumar

The quadrupole insulator is a well-known instance of higher-order topological insulators in two dimensions, which possesses midgap corner states in both the energy spectrum and entanglement spectrum. Here, by constructing and exploring a…

Mesoscale and Nanoscale Physics · Physics 2023-07-04 Yu-Liang Tao , Jiong-Hao Wang , Yong Xu

Topological insulators combine insulating properties in the bulk with scattering-free transport along edges, supporting dissipationless unidirectional energy and information flow even in the presence of defects and disorder. The feasibility…

The Landau paradigm of classifying phases by broken symmetries was demonstrated to be incomplete when it was realized that different quantum Hall states could only be distinguished by more subtle, topological properties. Today, the role of…

Strongly Correlated Electrons · Physics 2015-03-18 Sergei V. Isakov , Matthew B. Hastings , Roger G. Melko

Entanglement in high-dimensional quantum systems, where one or more degrees of freedom of light are involved, offers increased information capacities and enables new quantum protocols. Here, we demonstrate a functional source of…

A 6-qubit hyperentangled state has been realized by entangling two photons in three degrees of freedom. These correspond to the polarization, the longitudinal momentum and the indistinguishable emission produced by a 2-crystal system…

Quantum Physics · Physics 2009-09-29 G. Vallone , R. Ceccarelli , F. De Martini , P. Mataloni

We start by describing a symmetry enforced nodal line semi-metal (NLSM) in the 2D flat form of honeycomb Group - V and its non trivial thermo-electric response. We will then proceed to show that, upon buckling, the system undergoes its…

Materials Science · Physics 2022-02-15 Santosh Kumar Radha

Topological crystalline insulators (TCIs) host topological phases of matter protected by crystal symmetries. Topological surface states in three-dimensional TCIs have been predicted and observed in IV-VI SnTe-class semiconductors. Despite…

Mesoscale and Nanoscale Physics · Physics 2026-01-30 Liwei Jing , Mohammad Amini , Adolfo O. Fumega , Orlando J. Silveira , Jose L. Lado , Peter Liljeroth , Shawulienu Kezilebieke

We introduce a general approach to realize quantum states with holographic entanglement structure via monitored dynamics. Starting from random unitary circuits in $1+1$ dimensions, we introduce measurements with a spatiotemporally-modulated…

Quantum Physics · Physics 2025-12-30 Aditya Cowsik , Matteo Ippoliti , Xiao-Liang Qi

"Topological ordered" phases such as gapped quantum spin-liquids and fractional quantum Hall states possess ground state degeneracy on a torus. We show that the topological nature of this degeneracy has interesting consequences for the…

Strongly Correlated Electrons · Physics 2011-12-13 Tarun Grover

We consider a system of stacked tunnel-coupled two-dimensional electron- and hole-gas layers with Rashba spin-orbit interactions subjected to a staggered Zeeman field. The interplay of different intra-layer tunnel couplings results in a…

Mesoscale and Nanoscale Physics · Physics 2020-01-31 Kirill Plekhanov , Flavio Ronetti , Daniel Loss , Jelena Klinovaja

We calculate the topological entanglement entropy in bilayer quantum Hall systems, dividing the set of quantum numbers into four parts. This topological entanglement entropy allows us to draw a phase diagram in the parameter space of layer…

Strongly Correlated Electrons · Physics 2015-06-16 Myung-Hoon Chung

Higher-order topological phase in 2-dimensional (2D) systems is characterized by in-gap corner states, which are hard to detect and utilize. We numerically investigate transport properties of topological corner states in 2D honeycomb…

Mesoscale and Nanoscale Physics · Physics 2021-12-22 Kai-Tong Wang , Fuming Xu , Bin Wang , Yunjin Yu , Yadong Wei

We discuss how strongly interacting higher-order symmetry protected topological (HOSPT) phases can be characterized from the entanglement perspective: First, we introduce a topological many-body invariant which reveals the non-commutative…

Strongly Correlated Electrons · Physics 2020-08-12 Yizhi You , Julian Bibo , Frank Pollmann

Although many possible two-dimensional (2D) topological insulators (TIs) have been predicted in recent years, there is still lack of experimentally realizable 2D TI. Through first-principles and tight-binding simulations, we found an…

Materials Science · Physics 2018-07-31 Can Qi , Liying Ouyang , Jun Hu

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…

Mesoscale and Nanoscale Physics · Physics 2016-03-01 Giacomo Dolcetto , Maura Sassetti , Thomas L. Schmidt

Topological insulators (TIs) are newly discovered states of matter with robust metallic surface states protected by the topological properties of the bulk wavefunctions. A quantum phase transition (QPT) from a TI to a conventional insulator…

Strongly Correlated Electrons · Physics 2014-01-03 Liang Wu , M. Brahlek , R. Valdés Aguilar , A. V. Stier , C. M. Morris , Y. Lubashevsky , L. S. Bilbro , N. Bansal , S. Oh , N. P. Armitage
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