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Gauge theories, while describing fundamental interactions in nature, also emerge in a wide variety of physical systems. Abelian gauge fields have been predicted and observed in a number of novel quantum many-body systems, topological…

Mesoscale and Nanoscale Physics · Physics 2016-06-02 T. Li , L. A. Yeoh , A. Srinivasan , O. Klochan , D. A. Ritchie , M. Y. Simmons , O. P. Sushkov , A. R Hamilton

Within an effective Dirac theory the low-energy dispersions of monolayer graphene in the presence of Rashba spin-orbit coupling and spin-degenerate bilayer graphene are described by formally identical expressions. We explore implications of…

Mesoscale and Nanoscale Physics · Physics 2012-02-06 Ming-Hao Liu , Jan Bundesmann , Klaus Richter

We point out that the Rashba and Dresselhaus spin-orbit interactions in two dimensions can be regarded as a Yang-Mills non-Abelian gauge field. The physical field generated by the gauge field gives the electron wave function a…

Quantum Physics · Physics 2008-11-26 Naomichi Hatano , Ryoen Shirasaki , Hiroaki Nakamura

We theoretically study the proximity spin-orbit coupling in graphene on transition-metal dichalcogenides monolayer stacked with arbitrary twist angles. We find that the relative rotation greatly enhances the spin splitting of graphene,…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Yang Li , Mikito Koshino

We describe a nonlinear interaction between charge currents and spin currents which arises from the energy dependence of the conductivity. This allows nonmagnetic contacts to be used for measuring and controlling spin signals. We choose…

Mesoscale and Nanoscale Physics · Physics 2012-01-04 I. J. Vera-Marun , V. Ranjan , B. J. van Wees

Planar systems with a general linear spin-orbit interaction (SOI) that can be cast in the form of a non-Abelian pure gauge field are investigated using the language of non-Abelian gauge field theory. A special class of these fields that,…

High Energy Physics - Theory · Physics 2021-02-02 M. S. Shikakhwa

We re-express the Rashba and Dresselhaus interactions as non-Abelian spin-orbit gauges and provide a new perspective in understanding the persistent spin helix [Phys. Rev. Lett. 97, 236601 (2006)]. A spin-orbit interacting system can be…

Mesoscale and Nanoscale Physics · Physics 2008-03-21 Son-Hsien Chen , Ching-Ray Chang

Hybrids of graphene and two dimensional transition metal dichalcogenides (TMDC) have the potential to bring graphene spintronics to the next level. As we show here by performing first-principles calculations of graphene on monolayer…

Mesoscale and Nanoscale Physics · Physics 2015-10-14 Martin Gmitra , Jaroslav Fabian

Due to the weak spin-orbit interaction and the peculiar relativistic dispersion in graphene, there are exciting proposals to build spin qubits in graphene nanoribbons with armchair boundaries. However, the mutual interactions between…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Hsiu-Hau Lin , Toshiya Hikihara , Horng-Tay Jeng , Bor-Luen Huang , Chung-Yu Mou , Xiao Hu

The Hamiltonian describing 2D electron gas, in a spin-orbit active medium, can be cast into a consistent non-Abelian gauge field theory leading to a proper definition of the spin current. The generally advocated gauge symmetric version of…

Superconductivity · Physics 2012-09-25 Bertrand Berche , Ernesto Medina , Alexander López

The Coulomb interaction among massless Dirac fermions in graphene is unscreened around the isotropic Dirac points, causing a logarithmic velocity renormalization and a cone reshaping. In less symmetric Dirac materials possessing anisotropic…

The low energy excitations of graphene can be described by a massless Dirac equation in two spacial dimensions. Curved graphene is proposed to be described by coupling the Dirac equation to the corresponding curved space. This covariant…

Strongly Correlated Electrons · Physics 2009-11-13 Maria A. H. Vozmediano , Fernando de Juan , Alberto Cortijo

Lagrangian of a massive particle with spin 3/2 is considered in the Rarita-Schwinger formalism. We discuss implications of the contact- and the gauge-transformation on the physical content of free and interacting theories. It is shown that…

High Energy Physics - Phenomenology · Physics 2016-09-01 V. Pascalutsa

We show theoretically that conversion between spin and charge by spin-orbit interaction in metals occurs even in a non-local setup where magnetization and spin-orbit interaction are spatially separated if electron diffusion is taken into…

Mesoscale and Nanoscale Physics · Physics 2019-02-12 Junji Fujimoto , Gen Tatara

We consider the problem of electron energy states related to strongly localized potential of a single impurity in graphene. Our model simulates the effect of impurity atom substituting the atom of carbon, on the energy spectrum of electrons…

Strongly Correlated Electrons · Physics 2015-05-19 M Inglot , V K Dugaev

We show a gravitational spin-orbit interaction that can potentially modify the space-time geometry naturally emerges in the framework of Poincar\'e gauge theory. For this purpose, we derive the field equations of a particular model with…

General Relativity and Quantum Cosmology · Physics 2026-01-23 Sebastian Bahamonde , Jorge Gigante Valcarcel

The proximity-induced couplings in graphene due to the vicinity of a ferromagnetic insulator are analyzed. We combine general symmetry principles and simple tight-binding descriptions to consider different orientations of the magnetization.…

Mesoscale and Nanoscale Physics · Physics 2019-10-15 Vo Tien Phong , Niels R. Walet , Francisco Guinea

We investigate the cubic interactions of a massless higher-spin fermion with gravity in flat space and present covariant 2-s-s vertices, compatible with the gauge symmetries of the system, preserving parity. This explicit construction…

High Energy Physics - Theory · Physics 2015-06-17 Marc Henneaux , Gustavo Lucena Gomez , Rakibur Rahman

Using the Kubo formalism, the magnetic properties of the system in the linear regime have been investigated. Mainly the effect of non-magnetic substrate on the spin susceptibility is calculated. Results show that the Rashba coupling…

Mesoscale and Nanoscale Physics · Physics 2015-07-20 Fatemeh Delkhosh , A. Phirouznia

We give a pedagogical account of noncommutative gauge and gravity theories, where the exterior product between forms is deformed into a $\star$-product via an abelian twist (e.g. the Groenewold-Moyal twist). The Seiberg-Witten map between…

High Energy Physics - Theory · Physics 2023-06-21 Paolo Aschieri , Leonardo Castellani