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We discuss a pairing mechanism in interacting two-dimensional multipartite lattices that intrinsically leads to a second order topological superconducting state with a spatially modulated gap. When the chemical potential is close to Dirac…

超导电性 · 物理学 2022-02-28 Tommy Li , Max Geier , Julian Ingham , Harley D. Scammell

Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator, but have protected conducting states on their edge or surface. The 2D topological insulator is a quantum spin Hall insulator, which is a…

介观与纳米尺度物理 · 物理学 2015-03-13 M. Z. Hasan , C. L. Kane

Topological crystalline metals/semimetals (TCMs) have stimulated a great research interest, which broaden the classification of topological phases and provide a valuable platform to explore topological superconductivity. Here, we report the…

The quantum phase transition between topological and non-topological insulators or between fully gapped superfluids/superconductors can occur without closing the gap. We consider the evolution of the Majorana edge states on the surface of…

强关联电子 · 物理学 2015-05-30 M. A. Silaev , G. E. Volovik

Topological phases like topological insulators or superconductors are fascinating quantum states of matter, featuring novel properties such as emergent chiral edge states or Majorana fermions with non-Abelian braiding statistics. The recent…

量子气体 · 物理学 2016-03-30 Bo Liu , Xiaopeng Li , W. Vincent Liu

The zero gap surface states of a 3D-topological insulator host Dirac fermions with spin locked to the momentum. The gap-less Dirac fermions exhibit electronic behaviour different from those predicted in conventional materials. While…

介观与纳米尺度物理 · 物理学 2019-08-17 Parijat Sengupta , Gerhard Klimeck , Enrico Bellotti

Structural distortions and imperfections are a crucial aspect of materials science, on the macroscopic scale providing strength, but also enhancing corrosion and reducing electrical and thermal conductivity. At the nanometre scale,…

超导电性 · 物理学 2024-05-08 A. Mesaros , G. D. Gu , F. Massee

We study the effective interactions between Dirac fermions on the surface of a three-dimensional topological insulator due to the proximity coupling to the magnetic fluctuations in a ferromagnetic or antiferromagnetic insulator. Our results…

超导电性 · 物理学 2018-08-29 Henning G. Hugdal , Stefan Rex , Flavio S. Nogueira , Asle Sudbø

We investigate quantum transport in a normal/superconductor graphene heterostructure, including the possibility of an anisotropic pairing potential in the superconducting region. We find that under certain circumstances, the conductance…

超导电性 · 物理学 2009-11-13 J. Linder , A. Sudbø

The surface of a 3+1d topological insulator hosts an odd number of gapless Dirac fermions when charge conjugation and time-reversal symmetries are preserved. Viewed as a purely 2+1d system, this surface theory would necessarily explicitly…

强关联电子 · 物理学 2013-10-29 Michael Mulligan , F. J. Burnell

Topological semimetals with different types of band crossings provide a rich platform to realize novel fermionic excitations, known as topological fermions. In particular, some fermionic excitations can be direct analogues of elementary…

Higher-order topological crystalline phases in low-dimensional interacting quantum systems represent a challenging and largely unexplored research topic. Here, we derive a Hamiltonian describing fermions interacting through correlated…

强关联电子 · 物理学 2023-01-04 A. Montorsi , U. Bhattacharya , Daniel González-Cuadra , M. Lewenstein , G. Palumbo , L. Barbiero

In chiral crystals crystalline symmetries can protect multifold fermions, pseudo-relativistic masless quasiparticles that have no high-energy counterparts. Their realization in transition metal monosilicides has exemplified their intriguing…

介观与纳米尺度物理 · 物理学 2024-03-15 Selma Franca , Adolfo G. Grushin

We study an attractive Hubbard model on bipartite lattices. In the grand canonical formalism,we prove the existence of superconducting long-range order in the ground state on Lieb lattices with the chemical potential corresponding to half…

数学物理 · 物理学 2026-02-17 Yukimi Goto , Tohru Koma , Hironobu Yoshida

In the framework of the Dirac-Bogoliubov-de Gennes formalism, we investigate the transport properties in the surface of a 3-dimensional topological insulator-based hybrid structure, where the ferromagnetic and superconducting orders are…

介观与纳米尺度物理 · 物理学 2018-01-17 M. Khezerlou , H. Goudarzi

The interplay between topology and superconductivity in quantum materials harbors rich physics ripe for discovery. In this study, we investigate the topological properties and superconductivity of the nonsymmorphic chiral superconductor…

Two-dimensional (2D) Dirac fermions occur ubiquitously in condensed matter systems from topological phases to quantum critical points. Since the advent of topological semimetals, where the dispersion is often tilted around the band crossing…

无序系统与神经网络 · 物理学 2025-12-11 Swadeepan Nanda , Pavan Hosur

We consider the gapless modes along the vortex line of the fully gapped, momentum independent paired states of three-dimensional Dirac fermions. For this, we require the solution of fermion zero modes of the corresponding two-dimensional…

介观与纳米尺度物理 · 物理学 2014-04-24 Bitan Roy , Pallab Goswami

We study surface superconductivity involving the `drumhead' surface states of (doped) Weyl loop materials. The leading weak coupling instability in the bulk is toward a chiral superconducting order, which fully gaps the Fermi surface. In…

强关联电子 · 物理学 2017-03-08 Yuxuan Wang , Rahul M. Nandkishore

We study theoretically the behavior of thermal massless Dirac fermions inside graphene-based Ferromagnetic/Insulator/d-wave (s-wave) superconductor (F/I/d and F/I/S) junctions in the ballistic regime. Using the Dirac-BdG wave functions…

超导电性 · 物理学 2011-11-02 Morteza Salehi , Mohammad Alidoust , Gholamreza Rashedi
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