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Existing proximity effects stem from systems with a local order parameter, such as a local magnetic moment or a local superconducting pairing amplitude. Here, we demonstrate that despite lacking a local order parameter, topological phases…

Strongly Correlated Electrons · Physics 2016-03-01 Timothy H. Hsieh , Hiroaki Ishizuka , Leon Balents , Taylor L. Hughes

In this work we discuss particular effects that take place in systems of quantum emitters coupled to two-dimensional bosonic topological insulators. For a single emitter coupled to the Haldane model, we find a "fragile" quasibound state…

Mesoscale and Nanoscale Physics · Physics 2023-02-15 Miguel Bello , J. Ignacio Cirac

Topological insulators (TIs) are bulk insulators that possess robust helical conducting states along their interfaces with conventional insulators. A tremendous research effort has recently been devoted to TI-based heterostructures, in…

Materials Science · Physics 2014-01-17 Xiaoguang Li , Gufeng Zhang , Guangfen Wu , Hua Chen , Dimitrie Culcer , Zhenyu Zhang

We reveal a proximity effect between a topological band (Chern) insulator described by a Haldane model and spin-polarized Dirac particles of a graphene layer. Coupling weakly the two systems through a tunneling term in the bulk, the…

Mesoscale and Nanoscale Physics · Physics 2019-08-21 Peng Cheng , Philipp W. Klein , Kirill Plekhanov , Klaus Sengstock , Monika Aidelsburger , Christof Weitenberg , Karyn Le Hur

We consider ultracold atoms in a two-dimensional optical lattice of the dice geometry in a tight-binding regime. The atoms experience a laser-assisted tunneling between the nearest neighbour sites of the dice lattice accompanied by the…

We study a Haldane model with nearest neighbor interactions. We find one-dimensional like collective modes arising due to the interplay of pseudo-spin and valley degrees of freedom. In the large band gap or moderate interaction limit, these…

Strongly Correlated Electrons · Physics 2015-03-19 Xi Luo , Yue Yu , Long Liang

We show that the topologically protected flat band emerging on a surface of a nodal fermionic system promotes the surface superconductivity due to an infinitely large density of states associated with the flat band. The critical temperature…

Superconductivity · Physics 2015-05-27 N. B. Kopnin , T. T. Heikkilä , G. E. Volovik

Heterostructures of superconductors and quantum-Hall insulators are promising platforms of topological quantum computation. However, these two systems are incompatible in some aspects such as a strong magnetic field, the Meissner effect,…

Mesoscale and Nanoscale Physics · Physics 2025-11-17 Ryota Nakai , Koji Kudo , Hiroki Isobe , Kentaro Nomura

In this paper based on the Haldane model, we study the topological insulator with superlattice of pi-fluxes. We find that there exist the mid-gap states induced by the flux-superlattice. In particular, the mid-gap states have nontrivial…

Strongly Correlated Electrons · Physics 2015-06-18 Ya-Jie Wu , Jing He , Su-Peng Kou

Much interest in the superconducting proximity effect in three-dimensional (3D) topological insulators (TIs) has been driven by the potential to induce Majorana bound states at the interface. Most candidate materials for 3D TI, however, are…

Superconductivity · Physics 2014-12-10 Kyungmin Lee , Abolhassan Vaezi , Mark H. Fischer , Eun-Ah Kim

The seminal Haldane model brings up a paradigm beyond the quantum Hall effect to look for a plethora of topological phases in the honeycomb and other lattices. Here we dwell into this model considering a full parameter space in the presence…

Mesoscale and Nanoscale Physics · Physics 2025-03-04 Tanay Nag , Saptarshi Mandal

Using a prototype model for proximity induced superconductivity on a bilayer square lattice, we show that interlayer tunneling can drive change in topology of the Bogoliubov quasiparticle bands. Starting with topologically trivial…

Superconductivity · Physics 2021-07-15 Navketan Batra , Swagatam Nayak , Sanjeev Kumar

The magnetic proximity effect is a fundamental feature of heterostructures composed of layers of topological insulators and magnetic materials since it underlies many potential applications in devices with novel quantum functionality.…

Materials Science · Physics 2013-11-25 S. V. Eremeev , V. N. Men'shov , V. V. Tugushev , P. M. Echenique , E. V. Chulkov

The ability to tailor the hopping interactions between the constituent elements of a physical system could enable the observation of unusual phenomena that are otherwise inaccessible in standard settings. In this regard, a number of recent…

We study the band structure of phases induced by depositing bilayer graphene on a transition metal dichalcogenide monolayer. Tight-binding and low-energy effective Hamiltonian calculations show that it is possible to induce topologically…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 Abdulrhman M. Alsharari , Mahmoud M. Asmar , Sergio E. Ulloa

Recently, hyperbolic lattices that tile the negatively curved hyperbolic plane emerged as a new paradigm of synthetic matter, and their energy levels were characterized by a band structure in a four- (or higher-)dimensional momentum space.…

Mesoscale and Nanoscale Physics · Physics 2023-01-10 David M. Urwyler , Patrick M. Lenggenhager , Igor Boettcher , Ronny Thomale , Titus Neupert , Tomáš Bzdušek

This paper is focused on investigating the effects of a statistical interaction for graphene-like systems, providing Haldane-like properties for topologically trivial lattices. The associated self-energy correction yields an effective…

High Energy Physics - Theory · Physics 2023-11-17 G. B. de Gracia , B. M. Pimentel , R. da Rocha

We study the superconducting proximity effect induced in the surface states of the 3-d topological insulator Bi$_2$Se$_3$ by a singlet, s-wave superconductor deposited on its surface. To this effect, the…

Superconductivity · Physics 2015-09-29 Roland Grein , Jens Michelsen , Matthias Eschrig

We consider $30^{\circ}$ twisted bilayer formed by two copies of Haldane model and explore its evolution with varying interlayer coupling strength. Specifically, we compute the system's energy spectrum, its fractal dimensions, topological…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 Grigory Bednik

The proximity effect refers to the phenomenon whereby superconducting properties are induced in a normal conductor that is in contact with an intrinsically superconducting material. In particular, the combination of nano-structured…

Mesoscale and Nanoscale Physics · Physics 2014-05-16 A. G. Moghaddam , T. Kernreiter , M. Governale , U. Zuelicke
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