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We explore higher order topological superconductivity in an artificial Dirac material with intrinsic spin-orbit coupling, which is a doped $\mathbb{Z}_2$ topological insulator in the normal state. A mechanism for superconductivity due to…

Superconductivity · Physics 2022-06-01 Harley D. Scammell , Julian Ingham , Max Geier , Tommy Li

The gauge field of a uniform line of magnetic monopoles is created using a single Laguerre-Gauss laser mode and a gradient in the physical magnetic field. We study the effect of these monopoles on a Bose condensed atomic gas, whose vortex…

Quantum Gases · Physics 2012-09-10 G. J. Conduit

The Dirac spin liquid (DSL) is a two-dimensional (2D) fractionalized Mott insulator featuring massless Dirac spinon excitations coupled to a compact $U(1)$ gauge field, which allows for flux-tunneling instanton events described by magnetic…

Strongly Correlated Electrons · Physics 2024-05-08 G. Shankar , Joseph Maciejko

Basic notions of Dirac theory of constrained systems have their analogs in differential geometry. Combination of the two approaches gives more clear understanding of both classical and quantum mechanics, when we deal with a model with…

Mathematical Physics · Physics 2014-02-11 Alexei A. Deriglazov , Andrey M. Pupasov-Maksimov

The Dirac monopole string is specified for de Sitter cosmological model. Dirac equation for spin 1/2 particle in presence of this monopole has been examined on the background of de Sitter space-time in static coordinates. Instead of spinor…

Quantum Physics · Physics 2011-09-15 V. M. Red'kov , E. M. Ovsiyuk , O. V. Veko

Topological insulators are candidates to open up a novel route in spin based electronics. Different to traditional ferromagnetic materials, where the carrier spin-polarization and magnetization are based on the exchange interaction, the…

When two layers of two-dimensional materials are assembled with a relative twist, moir\'e patterns arise, inducing a tremendous wealth of exotic phenomena. In this work, we consider twisting two triangular lattices hosting Dirac quantum…

Strongly Correlated Electrons · Physics 2022-11-09 Zhu-Xi Luo , Urban F. P. Seifert , Leon Balents

We have designed three-dimensional models of topological insulator thin films, showing a tunability of the odd number of Dirac cones on opposite surfaces driven by the atomic-scale geometry at the boundaries. This enables creation of a…

Mesoscale and Nanoscale Physics · Physics 2013-01-03 David Soriano , Frank Ortmann , Stephan Roche

After the discovery of graphene and its many fascinating properties, there has been a growing interest for the study of "artificial graphenes". These are totally different and novel systems which bear exciting similarities with graphene.…

Mesoscale and Nanoscale Physics · Physics 2019-06-20 Gilles Montambaux

We propose the quantum simulation of the Dirac equation with potentials, allowing the study of relativistic scaterring and the Klein tunneling. This quantum relativistic effect permits a positive-energy Dirac particle to propagate through a…

Quantum Physics · Physics 2011-03-10 J. Casanova , J. J. Garcia-Ripoll , R. Gerritsma , C. F. Roos , E. Solano

Artificial spin ice provides a versatile setting for emergent gauge fields and magnetic monopole excitations. Here we propose a driven-dissipative polariton realization of artificial spin ice, in which the circular polarization of each link…

Mesoscale and Nanoscale Physics · Physics 2026-03-31 Junhui Cao , Alexey Kavokin

We study the Dirac quasiparticles in $d$-dimensional lattice systems of electrons in the presence of domain walls ($d=1$), vortices ($d=2$), or hedgehogs ($d=3$) of superconducting and/or insulating, order parameters, which appear as mass…

Mesoscale and Nanoscale Physics · Physics 2012-02-16 Igor F. Herbut

The interplay of symmetry and topology has been at the forefront of recent progress in quantum matter. Here we uncover an unexpected connection between band topology and the description of competing orders in a quantum magnet. Specifically…

Strongly Correlated Electrons · Physics 2020-02-19 Xue-Yang Song , Yin-Chen He , Ashvin Vishwanath , Chong Wang

We develop a robust, non-perturbative approach to study the band structure of artificial graphene. Artificial graphene, as considered here, is generated by imposing a superlattice structure on top of a two dimensional hole gas in a…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 H. D. Scammell , O. P. Sushkov

Spin interactions of magnetic impurities mediated by conduction electrons is one of the most interesting and potentially useful routes to ferromagnetism in condensed matter. In recent years such systems have received renewed attention due…

Strongly Correlated Electrons · Physics 2019-01-23 Sahinur Reja , H. A. Fertig , L. Brey

We investigate topological vector potentials underlying the phases of nonlinear waves by performing Dirac's magnetic monopole theory in an extended complex plane, taking into account self-steepening effects while ignoring the usual cubic…

Pattern Formation and Solitons · Physics 2026-04-30 Yan-Hong Qin , Jin-Peng Yang , Li-Chen Zhao

We address the problem of string arbitrariness in the quantum field theory of Dirac magnetic monopoles. Different prescriptions are shown to yield different physical results. The constraints due to the discrete symmetries (C and P) are…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. Yu. Ignatiev , G. C. Joshi

We study classical and quantum hidden symmetries of a particle with electric charge $e$ in the background of a Dirac monopole of magnetic charge $g$ subjected to an additional central potential $V(r)=U(r) +(eg)^2/2mr^{2}$ with…

High Energy Physics - Theory · Physics 2020-04-13 Luis Inzunza , Mikhail S. Plyushchay , Andreas Wipf

We study the influence of a localized Gaussian deformation on massless Dirac fermions confined to a two-dimensional curved surface. Both in-plane and out-of-plane displacements are considered within the framework of elasticity theory. These…

Mesoscale and Nanoscale Physics · Physics 2026-02-09 Samuel B. B. Almeida , J. E. G. Silva , C. A. S. Almeida

This paper investigates the scattering states of spin-1/2 particles in the spacetime of a spinning cosmic string with spacelike disclination and dislocation, with and without a Coulomb interaction. Working within the tetrad formalism, we…

High Energy Physics - Theory · Physics 2026-02-25 Abdelmalek Boumali