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There have recently been several experiments studying induced superconductivity in semiconducting two-dimensional electron gases that are strongly coupled to thin superconducting layers, as well as probing possible topological phases…

Mesoscale and Nanoscale Physics · Physics 2018-04-24 Christopher Reeg , Daniel Loss , Jelena Klinovaja

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…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Xiao-Liang Qi , Shou-Cheng Zhang

We apply both analytical and ab-initio methods to explore heterostructures composed of a threedimensional topological insulator (3D TI) and an ultrathin normal insulator (NI) overlayer as a proof ground for the principles of the topological…

We show that a semiconductor thin film can acquire a non-trivial spin texture due to the proximity effect induced by a topological insulator. The effect stems from coupling to the topological surface states and is present even when the…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Jimmy A. Hutasoit , Tudor D. Stanescu

Using non-equilibrium Green's functions, we studied numerically the transport properties of a Josephson junction, superconductor-topological insulator-superconductor hybrid system. Our numerical calculation shows first that…

Superconductivity · Physics 2016-05-11 Juntao Song , Haiwen Liu , Jie Liu , Yuxian Li , Robert Joynt , Qing-feng Sun , X. C. Xie

We study the excitation spectrum of a topological insulator in contact with an s-wave superconductor, starting from a microscopic model, and develop an effective low-energy model for the proximity effect. In the vicinity of the Dirac cone…

Superconductivity · Physics 2010-06-25 Tudor D. Stanescu , Jay D. Sau , Roman M. Lutchyn , S. Das Sarma

The effects of downfolding a Brillouin zone can open gaps and quench the kinetic energy by flattening bands. Quasiperiodic systems are extreme examples of this process, which leads to new phases and critical eigenstates. We analytically and…

Strongly Correlated Electrons · Physics 2021-07-21 Yixing Fu , Justin H. Wilson , J. H. Pixley

The combination of magnetism and topological properties in one material platform is attracting significant attention due to the potential of realizing low power consumption and error-robust electronic devices. Common practice is to start…

We investigate a generalized multi-orbital tight-binding model on a triangular lattice, a system prevalent in a wide range of two-dimensional materials, and particularly relevant for simulating transition metal dichalcogenide monolayers. We…

Mesoscale and Nanoscale Physics · Physics 2023-12-05 Anderson L. R. Barbosa , Luis M. Canonico , Jose H. García , Tatiana G. Rappoport

The Haldane model is a standard tight-binding model describing electrons hopping on a hexagonal lattice subject to a transverse, dipolar magnetic field. We consider its interacting version for values of the interaction strength that are…

Strongly Correlated Electrons · Physics 2025-10-13 Simone Fabbri , Alessandro Giuliani , Robin Reuvers

We study the interplay between intrinsic topological order and superconductivity in a two-component Haldane bilayer, where the two layers are coupled by an attractive force. We obtain the phase diagram of the model with exact…

Strongly Correlated Electrons · Physics 2024-09-11 Valentin Crépel , Nicolas Regnault

For an s-wave superconductor/semiconductor/ferromagnetic-insulator structure, the proximity effect can induce the energy gap in the semiconductor rather than the superconducting pair potential of its microscope Hamiltonian. As a result, it…

Superconductivity · Physics 2010-10-22 Zhongwen Xing , Mei Liu

We propose a possible mechanism of topological Hall effect in inhomogeneous superconducting states. In our scenario, the Berry phase effect associated with spatially modulated superconducting order parameter gives rise to a fictitious…

Superconductivity · Physics 2014-11-21 Satoshi Fujimoto

Topological insulators in three dimensions are nonmagnetic insulators that possess metallic surface states as a consequence of the nontrivial topology of electronic wavefunctions in the bulk of the material. They are the first known…

Strongly Correlated Electrons · Physics 2012-01-26 M. Zahid Hasan , Joel E. Moore

We study the effect of Haldane flux in the bilayer $\alpha$-$\mathcal{T}_3$ lattice system, considering possible non-equivalent, commensurate stacking configurations with a tight-binding formalism. The bilayer $\alpha$-$\mathcal{T}_3$…

Materials Science · Physics 2025-03-24 Puspita Parui , Sovan Ghosh , Bheema Lingam Chittari

We study topological properties and the topological phase transitions therein for a semi-Dirac Haldane model on a honeycomb lattice in presence of an extended range (third neighbour) hopping. While in the absence of a third neighbour…

Mesoscale and Nanoscale Physics · Physics 2022-07-13 Sayan Mondal , Saurabh Basu

One of the hallmarks of topological insulators is the correspondence between the value of its bulk topological invariant and the number of topologically protected edge modes observed in a finite-sized sample. This bulk-boundary…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 Ana Silva , Jasper van Wezel

Topological insulators are insulating in the bulk but feature conducting states on their surfaces. Standard methods for probing their topological properties largely involve probing the surface, even though topological invariants are defined…

Topological materials rely on engineering global properties of their bulk energy bands called topological invariants. These invariants, usually defined over the entire Brillouin zone, are related to the existence of protected edge states.…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 P. St-Jean , A. Dauphin , P. Massignan , B. Real , O. Jamadi , M. Milićević , A. Lemaître , A. Harouri , L. Le Gratiet , I. Sagnes , S. Ravets , J. Bloch , A. Amo

We explore novel topological responses and axion-like phenomena in three-dimensional insulating systems with spacetime-dependent mass terms encoding domain walls. Via a dimensional-reduction approach, we derive a new axion-electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2025-04-24 Giandomenico Palumbo