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Atomically thin two-dimensional layer of honeycomb crystalline carbon known as graphene is a promising system for electronics. It has a point-like Fermi surface, which is very sensitive to external potentials. In particular, Zeeman magnetic…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 M. Khodas , I. A. Zaliznyak , D. E. Kharzeev

We propose a new approach to generate and detect spin currents in graphene, based on a large spin-Hall response arising near the neutrality point in the presence of external magnetic field. Spin currents result from the imbalance of the…

Mesoscale and Nanoscale Physics · Physics 2011-08-24 D. A. Abanin , R. V. Gorbachev , K. S. Novoselov , A. K. Geim , L. S. Levitov

We investigate in some detail the structure of the electromagnetic current density for the pseudo-relativistic massless spinor effective model for graphene. It is shown that the pseudo-relativistic massless Dirac field theory in {\em 2+1}…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Paola Giacconi , Roberto Soldati

We investigate the charge and spin transport in a non-Hermitian ring of electrons subject to an external Zeeman field. By introducing non-Hermiticity through anti-Hermitian hopping in the nearest neighbour bonds, we demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2026-02-13 Soumya Ranjan Padhi , Souvik Roy , Tapan Mishra

The discovery of the integer quantum Hall effect in the early eighties of the last century, with highly precise quantization values for the Hall conductance in multiples of $e^2/h$, has been the first fascinating manifestation of the…

Mesoscale and Nanoscale Physics · Physics 2017-01-10 Alessandro Cresti , Branislav K. Nikolić , Jose Hugo García , Stephan Roche

The unusual electronic properties of single-layer graphene make it a promising material system for fundamental advances in physics, and an attractive platform for new device technologies. Graphene's spin transport properties are expected to…

Mesoscale and Nanoscale Physics · Physics 2009-10-23 Mark B. Lundeberg , Joshua A. Folk

A general discussion of graphene in external electromagnetic field is provided. In general, the formulation is not Lorentz invariant because of Zeeman energy. But it can be restored approxiamtely in the case of strong magnetic field, the…

Mesoscale and Nanoscale Physics · Physics 2010-06-22 Sze-Shiang feng , Mogus Mochena

Recent reports of spin-orbit coupling enhancement in chemically modified graphene have opened doors to studies of the spin Hall effect with massless chiral fermions. Here, we theoretically investigate the interaction and impurity density…

Mesoscale and Nanoscale Physics · Physics 2016-11-15 Mirco Milletari , Aires Ferreira

We use a symmetry approach to construct a systematic derivative expansion of the low energy effective Hamiltonian modifying the continuum Dirac description of graphene in the presence of non-uniform elastic deformations. We extract all…

Mesoscale and Nanoscale Physics · Physics 2015-05-26 Juan L. Mañes , Fernando de Juan , Mauricio Sturla , María A. H. Vozmediano

The interplay between superconductivity, spin-orbit coupling, and Zeeman or exchange field, is studied theoretically in two different setups: a single wire in which all these fields coexist, and a double wire system in which superconducting…

Superconductivity · Physics 2020-05-20 J. Baumard , J. Cayssol , A. Buzdin , F. S. Bergeret

The two-dimensional nature of graphene Josephson junctions offers the possibility of creating effective superconductor-ferromagnet-superconductor junctions with tunable Zeeman splitting caused by an in-plane magnetic field. Such junctions…

Superconductivity · Physics 2020-10-30 Eirik Holm Fyhn , Morten Amundsen , Ayelet Zalic , Tom Dvir , Hadar Steinberg , Jacob Linder

The process of coherent creation of particle - hole excitations by an electric field in graphene is quantitatively described. We calculate the evolution of current density, number of pairs and energy after switching on the electric field.…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Lewkowicz , B. Rosenstein

The Zeeman effect lowers the energy of electrons with spin states which are anti-parallel to the applied magnetic field but lifts that of spin parallel states. In quantum spin liquids where the spin and charge degrees of freedom are…

Strongly Correlated Electrons · Physics 2023-06-05 Wen-Yu He , Patrick A. Lee

Graphene -a recently discovered one-atom-thick layer of graphite- constitutes a new model system in condensed matter physics, because it is the first material in which charge carriers behave as massless chiral relativistic particles. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hubert B. Heersche , Pablo Jarillo-Herrero , Jeroen B. Oostinga , Lieven M. K. Vandersypen , Alberto F. Morpurgo

The quasi-2D electrons in graphene behave as massless fermions obeying a Dirac-Weyl equation in the low-energy regime near the two Fermi points. The stability of spin-polarized phases (SPP) in graphene is considered. The exchange energy is…

Strongly Correlated Electrons · Physics 2007-05-23 M. W. C. Dharma-wardana

The experimental availability of ultra-high-mobility samples of graphene opens the possibility to realize and study experimentally the "hydrodynamic" regime of the electron liquid. In this regime the rate of electron-electron collisions is…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Alessandro Principi , Giovanni Vignale

We investigate the possiblity of creating directed spin-polarized currents in a two-dimensional electron gas (2DEG) subject to an asymmetric magnetic field and an external adiabatic driving. We thereby generalize concepts of quantum charge…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Matthias Scheid , Michael Wimmer , Dario Bercioux , Klaus Richter

In a clean Fermi liquid, due to spin up/spin down symmetry, the dc spin current driven by a magnetic field gradient is finite even in the absence of impurities. Hence, the spin conductivity sigma_s assumes a well-defined collision-dominated…

Strongly Correlated Electrons · Physics 2015-05-20 Markus Mueller , Hai Chau Nguyen

Unlike regular electron spin, the pseudospin degeneracy of Fermi points in graphene does not couple directly to magnetic field. Therefore, graphene provides a natural vehicle to observe the integral and fractional quantum Hall physics in an…

Strongly Correlated Electrons · Physics 2009-11-11 Csaba Toke , Paul E. Lammert , Jainendra K. Jain , Vincent H. Crespi

We study interaction effect of quantum spin Hall state in InAs/GaSb quantum wells under an in-plane magnetic field by using the self-consistent mean field theory. We construct a phase diagram as a function of intra-layer and inter-layer…

Mesoscale and Nanoscale Physics · Physics 2017-08-18 Lun-Hui Hu , Chih-Chieh Chen , Chao-Xing Liu , Fu-Chun Zhang , Yi Zhou
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