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It is shown that the chiral symmetry is spontaneously broken by a constant magnetic field in QED. The dynamical mass of fermions (energy gap in the fermion spectrum) is $m_{dyn}\simeq C\sqrt{eB}\exp\left[-\left(\pi/\alpha\right)…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

We propose a fermion Chern-Simons field theory describing two- dimensional electrons in the lowest Landau level. This theory is constructed with a complete set of states, and the lowest Landau level constraint is enforced through a…

Condensed Matter · Physics 2009-10-28 Lizeng Zhang

We study again the phenomenon of charge fractionalization at finite temperature. Our calculations are done in a framework in which the connection between the induced fermion number and the chiral anomaly is manifest. We find that the…

High Energy Physics - Theory · Physics 2012-01-30 Yeong-Chuan Kao , Ming-Chiun Wu

We study the analytical structure of the fermion propagator in planar quantum electrodynamics coupled to a Chern-Simons term within a four-component spinor formalism. The dynamical generation of parity-preserving and parity-violating…

High Energy Physics - Phenomenology · Physics 2010-12-23 Christoph P. Hofmann , Alfredo Raya , Saúl Sánchez Madrigal

We show that in 2+1 dimensional Quantum Electrodynamics an external magnetic field applied to a finite density of massless fermions is screened, due to a $2+1$-dimensional realization of the underlying $2$-dimensional axial anomaly of the…

High Energy Physics - Theory · Physics 2009-10-22 Stefano Forte

We study the breaking of parity symmetry in the 2+1 Gross-Neveu model at finite temperature with chemical potential $\mu$, in the presence of an external magnetic field. We find that the requirement of gauge invariance, which is considered…

Strongly Correlated Electrons · Physics 2009-11-07 D. C. Cabra , G. L. Rossini

We report on a study of the phonon-mediated frictional drag between two-dimensional electron layers at the Landau level filling factor $\nu=1/2$ predicted by Chern-Simons composite-fermion theory. Frictional drag between widely spaced…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Martin C. Bonsager , Yong Baek Kim , A. H. MacDonald

The theory of the magnetic catalysis of chiral symmetry breaking in QED is developed. An approximation for the Schwinger-Dyson equations describing reliably this phenomenon is established, i.e., it is shown that there exists a consistent…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

The chiral symmetry breaking in a Nambu-Jona-Lasinio effective model of quarks in the presence of a magnetic field is investigated. We show that new interaction tensor channels open up via Fierz identities due to the explicit breaking of…

Nuclear Theory · Physics 2014-11-11 Efrain J. Ferrer , Vivian de la Incera

Non-perturbative effects of constant magnetic fields in a Higgs-Yukawa gauge model are studied using the extremum equations of the effective action for composite operators. It is found that the magnetic field induces a Higgs condensate, a…

High Energy Physics - Theory · Physics 2007-05-23 E. J. Ferrer , V. de la Incera

We study chiral symmetry breaking in $\rm QED_3$ with $N_f$ flavors of four-component fermions. A closed system of Schwinger-Dyson equations for fermion and photon propagators and the full fermion-photon vertex is proposed, which is…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. P. Gusynin , A. H. Hams , M. Reenders

We study how the Chern-Simons term effects the dynamically generated fermion mass in $(2+1)D$ Quantum Electrodynamics in the framework of large $N$ expansion. We find that when the Chern-Simons term is present half of the fermions get mass…

High Energy Physics - Theory · Physics 2007-05-23 Deog Ki Hong

A Coulomb impurity placed in an undoped Weyl semimetal spontaneously surrounds itself with a cloud of condensed Weyl fermions. We find that the ground-state of this system exhibits an experimentally accessible Landau zero-charge effect: the…

Mesoscale and Nanoscale Physics · Physics 2012-10-08 Eugene B. Kolomeisky , Joseph P. Straley

We study the electrodynamics of generic charged particles (bosons, fermions, relativistic or not) constrained to move on an infinite plane. An effective gauge theory in 2+1 dimensional spacetime which describes the real electromagnetic…

High Energy Physics - Theory · Physics 2009-10-22 E. C. Marino

We develop a Chern-Simons theory to describe a two-dimensional electron gas in intermediate magnetic fields. Within this approach, inhomogeneous states emerge in analogy to the intermediate state of a superconductor. At half filling of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Bernd Rosenow , Stefan Scheidl

We report on a comprehensive thermodynamic study of a quasi-two-dimensional (quasi-2D) quantum magnet Cu$_2$(OH)$_3$Br which in the 2D layer can be viewed as strongly coupled alternating antiferromagnetic and ferromagnetic chains. In an…

The phase diagram of massless quantum electrodynamics in three space-time dimensions as a function of fermion flavor number $N$ exhibits two well-known phases: at large $N > N_c^{conf}$ the system is in a conformal gapless state, while for…

High Energy Physics - Theory · Physics 2016-11-16 Lukas Janssen

The magnetic field and density behaviors of various thermodynamic quantities of strange quark matter under compact star conditions are investigated in the framework of the thermodynamically self-consistent quasiparticle model. For…

High Energy Physics - Phenomenology · Physics 2022-03-15 Zhen-Yan Lu , Jian-Feng Xu , Xin-Jian Wen , Guang-Xiong Peng , Marco Ruggieri

We consider self-magnetization of charged and neutral vector bosons bearing a magnetic moment in a gas and in vacuum. For charged vector bosons (W bosons) a divergence of the magnetization in both the medium and the electroweak vacuum…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Perez Rojas , E. Rodriguez Querts

We numerically study quantum magnetism of ultra-cold alkali and alkaline-earth fermion systems with large hyperfine spin $F=3/2$, which are characterized by a generic $Sp(N)$ symmetry with N=4. The methods of exact diagonalization (ED) and…

Quantum Gases · Physics 2011-08-09 Hsiang-hsuan Hung , Yupeng Wang , Congjun Wu