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Quantum electrodynamics in three spacetime dimensions, with one massless fermion species, is studied using a non-perturbative variational approach. Quantization of the theory follows Dirac's Hamiltonian procedure, with a gauge invariant…

High Energy Physics - Theory · Physics 2017-02-10 Michaël Fanuel , Jan Govaerts

Understanding the effects of nonequilibrium on strongly interacting quantum systems is a challenging problem in condensed matter physics. In dimensions greater than one, interacting electrons can often be understood within Fermi-liquid…

Strongly Correlated Electrons · Physics 2015-05-14 So Takei , Mirco Milletari' , Bernd Rosenow

The statistical mechanics of quarks and gluons are investigated within the context of the canonical ensemble. Recursive techniques are developed which enforce the exact conservation of baryon number, total isospin, electric charge,…

Nuclear Theory · Physics 2009-11-10 Scott Pratt , Joerg Ruppert

We characterize the role of the spin-orbit coupling between electrons and the confining potential of the edge in nonequilibrium 2D homogeneous electronic gas. We derive a simple analytical result for the magnitude of the current induced…

Mesoscale and Nanoscale Physics · Physics 2011-03-18 Peter Bokes , Frantisek Horvath

Motivated by the realization of hard-wall boundary conditions in experiments with ultracold atoms, we investigate the ground-state properties of spin-1/2 fermions with attractive interactions in a one-dimensional box. We use lattice Monte…

Quantum Gases · Physics 2016-10-26 J. R. McKenney , C. R. Shill , W. J. Porter , J. E. Drut

One considers the quantum dynamics of a charged spin-1/2 particle in an extended external eletromagnetic field that arises from the reduction of a 5-dimensional Abelian gauge theory. The non-relativistic regime of the reduced 4D-dynamics is…

High Energy Physics - Theory · Physics 2007-05-23 G. S. Dias , J. A. Helayel-Neto

We propose a model describing spin-half quantum particles in curved spacetime in the framework of quantum field theory. Our model is based on embodying Einstein's equivalence principle and general covariance in the definition of…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Viacheslav A. Emelyanov

The spectral function of a spin-balanced two-dimensional Fermi gas with short-range interactions is calculated by means of a quantum cluster expansion. Good qualitative agreement is found with a recent experiment by Feld $\textit{et al.}$…

Quantum Gases · Physics 2014-01-23 Marcus Barth , Johannes Hofmann

A novel approach to S =1/2 antiferromagnets with strong fluctuations based on the representation of spin-1/2 operators as bylinear forms of real (Majorana) fermions is suggested. This representation has the advantage of being irreducible…

Condensed Matter · Physics 2009-10-22 A. M. Tsvelik

We demonstrate that the energy density of an accelerated fermion gas evaluated within quantum statistical approach in Minkowski space is related to a quantum correction to the vacuum expectation value of the energy-momentum tensor in a…

High Energy Physics - Theory · Physics 2019-12-18 George Y. Prokhorov , Oleg V. Teryaev , Valentin I. Zakharov

The description of a system of vortices in terms of dual fields provides a window to new phases of the system. It was found recently that dualizing a 3+1-d boson-fermion system leads to a system of fermions and vortices interacting via a…

High Energy Physics - Theory · Physics 2023-01-04 Shantonu Mukherjee , Amitabha Lahiri

The statistical mechanics of nonrelativistic fermions in a constant magnetic field is considered from the quantum field theory point of view. The fermionic determinant is computed using a general procedure that contains all possible…

High Energy Physics - Theory · Physics 2009-11-07 O. Espinosa , J. Gamboa , S. Lepe , F. Mendez

Anyons are low-dimensional quasiparticles that obey fractional statistics, hence interpolating between bosons and fermions. In two dimensions, they exist as elementary excitations of fractional quantum Hall states and they are believed to…

Exact diagonalization studies of the level density in a six-electron quantum dot under magnetic fields around 7 T (``filling factor'' around 1/2) are reported. In any spin-polarization channel, two regimes are visible in the dot excitation…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Augusto Gonzalez , Roberto Capote

We study the spin filling of a semiconductor quantum dot using excited-state spectroscopy in a strong magnetic field. The field is oriented in the plane of the two-dimensional electron gas in which the dot is electrostatically defined. By…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 L. H. Willems van Beveren , R. Hanson , I. T. Vink , F. H. L. Koppens , L. P. Kouwenhoven , L. M. K. Vandersypen

The electrodynamics of a two-dimensional gas of massless fermions in graphene is studied by a collisionless hydrodynamic approach. A low-energy dispersion relation for the collective modes (plasmons) is derived both in the absence and in…

Mesoscale and Nanoscale Physics · Physics 2013-12-10 R. Roldán , J. -N. Fuchs , M. O. Goerbig

We propose a new method for the evaluation of the particle density and kinetic pressure profiles in inhomogeneous one-dimensional systems of non-interacting fermions, and apply it to harmonically confined systems of up to N=1000 fermions.…

Statistical Mechanics · Physics 2009-10-31 Patrizia Vignolo , Anna Minguzzi , M. P. Tosi

Coupling of spin states and space motion of conduction electrons due to spin-orbit interaction opens up possibilities for manipulation of the electron spins by electrical means. It is shown here that spin orientation of a two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. A. Tarasenko

Compact quantum electrodynamics in 2+1 dimensions often arises as an effective theory for a Mott insulator, with the Dirac fermions representing the low-energy spinons. An important and controversial issue in this context is whether a…

Strongly Correlated Electrons · Physics 2007-05-23 Flavio S. Nogueira , Hagen Kleinert

The class of relativistic spin particle models reveals the `quantization' of parameters already at the classical level. The special parameter values emerge if one requires the maximality of classical global continuous symmetries. The same…

High Energy Physics - Theory · Physics 2009-10-31 Mikhail Plyushchay