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The virial and the Hellmann--Feynman theorems for massless Dirac electrons in a solid are derived and analyzed using generalized continuity equations and scaling transformations. Boundary conditions imposed on the wave function in a finite…

Mesoscale and Nanoscale Physics · Physics 2019-11-18 Alexey A. Sokolik , Andrey D. Zabolotskiy , Yurii E. Lozovik

The classic composite fermion field theory (Ref. 1) builds up an excellent framework to uniformly study important physical objects and globally explain anomalous experimental phenomena in fractional quantum Hall physics while there are also…

Strongly Correlated Electrons · Physics 2017-01-20 Yibin Yang , Xi Luo , Yue Yu

Motivated by traversable wormhole constructions that require large amounts of negative energy, we explore constraints on the amount of negative energy that can be carried by a free Dirac field in a slab-shaped region between two parallel…

High Energy Physics - Theory · Physics 2023-07-21 Brian Swingle , Mark Van Raamsdonk

The temperature dependence of an integer Quantum Hall effect transition is studied in a sample where the disorder is dominated by short-ranged potential scattering. At low temperatures the results are consistent with a $(T/T_0)^{\kappa}$…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 P. T. Coleridge , P. Zawadzki

A single mass-less fermionic field with an abelian U(1) gauge interaction (electrodynamics of a mass-less Dirac fermion) is studied by a variational method. Even without the insertion of any extra interaction the vacuum is shown to be…

High Energy Physics - Phenomenology · Physics 2009-11-10 Fabio Siringo

Quasiperiodically driven fermionic systems can support topological phases not realized in equilibrium. The fermions are localized in the bulk, but support quantized energy currents at the edge. These phases were discovered through an…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 David M. Long , Philip J. D. Crowley , Anushya Chandran

We give field theory descriptions of the time-reversal invariant quantum spin Hall insulator in 2+1 dimensions and the particle-hole symmetric insulator in 1+1 dimensions in terms of massive Dirac fermions. Integrating out the massive…

High Energy Physics - Theory · Physics 2018-11-27 Andreas Karch , Joseph Maciejko , Tadashi Takayanagi

We evaluate quantum effects due to a $2$-component Dirac field in $2+1$ space-time dimensions, coupled to domain-wall like defects with a smooth shape. We show that those effects induce non trivial contributions to the (shape-dependent)…

High Energy Physics - Theory · Physics 2016-08-03 C. D. Fosco , F. D. Mazzitelli

Motivated by the recent theoretical and experimental progress in the heavy fermion system UCoGe, we study ferromagnetic chiral superconductors in the presence of magnetic domains. Within mean field approximations, it is shown that chiral…

Superconductivity · Physics 2018-02-05 Yasuhiro Tada

We consider a one-dimensional chain of coupled oscillators in contact at both ends with heat baths at different temperatures, and subject to an external force at one end. The Hamiltonian dynamics in the bulk is perturbed by random exchanges…

Probability · Mathematics 2019-09-12 Tomasz Komorowski , Stefano Olla , Marielle Simon

We study massless Dirac fermions in the background of a specific planar topologically nontrivial configuration in the three-dimensional spacetime. The results show the presence of massive bound states, phase shifts and the consequent…

High Energy Physics - Theory · Physics 2018-03-07 Dionisio Bazeia , Azadeh Mohammadi

An antiferromagnetic domain wall in a thermal gradient is found to experience a force towards colder regions upon the application of a uniform magnetic field along the easy axis. This force increases with the strength of the applied field…

Mesoscale and Nanoscale Physics · Physics 2020-10-21 R. Yanes , M. Rodriguez Rosa , L. Lopez-Diaz

We report two dimensional Dirac fermions and quantum magnetoresistance in single crystals of CaMnBi$_2$. The non-zero Berry's phase, small cyclotron resonant mass and first-principle band structure suggest the existence of the Dirac…

Strongly Correlated Electrons · Physics 2015-06-04 Kefeng Wang D. Graf , Limin Wang , Hechang Lei , S. W. Tozer , C. Petrovic

We consider a generic two-dimensional system of fermionic particles with attractive interactions and no disorder. If time-reversal symmetry is absent, it is possible to obtain incompressible insulating states in addition to the superfluid…

Superconductivity · Physics 2012-06-12 Predrag Nikolic

We theoretically study the electric current induced by the temporally oscillating magnetic field onto a three-dimensional topological insulator based on the linear response theory. The electric current flows on its surface because of the…

Mesoscale and Nanoscale Physics · Physics 2014-01-23 Tetsuro Habe , Yasuhiro Asano

Open quantum systems that comply with the master equation and detailed balance decay in a non-oscillatory manner to thermal equilibrium. Beyond the weak coupling limit, systems that break microreversibility (e.g., in the presence of…

Quantum Physics · Physics 2025-05-26 Shay Blum , David Gelbwaser-Klimovsky

Massless 2+1D Dirac fermions arise in a variety of systems from graphene to the surfaces of topological insulators, where generating a mass is typically associated with breaking a symmetry. However, with strong interactions, a symmetric…

Strongly Correlated Electrons · Physics 2018-02-21 Yi-Zhuang You , Yin-Chen He , Cenke Xu , Ashvin Vishwanath

We study the thermoelectric transport properties of a three-dimensional massive relativistic fermion gas with screened Coulomb impurities in high magnetic fields where only the lowest Landau levels contribute to the transport. Our results…

Mesoscale and Nanoscale Physics · Physics 2019-11-06 Viktor Könye , Masao Ogata

We study two-dimensional massless Dirac fermions at neutrality, coupled to bosonic modes through a Yukawa interaction. We then examine the intriguing possibility that such a system, devoid of carriers at zero temperature, might nevertheless…

Strongly Correlated Electrons · Physics 2026-02-12 Veronika C. Stangier , Daniel E. Sheehy , Jörg Schmalian

The generalized Dirac equation of the second order, describing particles with spin 1/2 and two mass states, is analyzed. The projection operators extracting states with definite energy and spin projections are obtained. The first order…

Quantum Physics · Physics 2008-11-26 S. I. Kruglov
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