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We investigate a new numerical procedure to compute fermionic correlation functions at very small quark masses. Large statistical fluctuations, due to the presence of local ``bumps'' in the wave functions associated with the low-lying…

High Energy Physics - Lattice · Physics 2010-02-03 L. Giusti , P. Hernandez , M. Laine , P. Weisz , H. Wittig

We consider magnetic catalysis in a field-theoretic system of (3+1)-dimensional Dirac fermions with anisotropic kinetic term. By placing the system in a strong external magnetic field, we examine magnetically-induced fermion mass…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Alexandre , K. Farakos , G. Koutsoumbas , N. E. Mavromatos

We focus on the confinement of two-dimensional Dirac fermions within the waveguides created by realistic magnetic fields. Understanding of their band structure is of our main concern. We provide easily applicable criteria, mostly depending…

Mesoscale and Nanoscale Physics · Physics 2018-09-24 Marie Fialová , Vít Jakubský , Matěj Tušek

A chiral random matrix model with complex eigenvalues is solved as an effective model for QCD with non-vanishing chemical potential. We derive new matrix model correlation functions which predict the local fluctuations of complex Dirac…

High Energy Physics - Theory · Physics 2009-11-07 G. Akemann

The rotating relativistic fermion system is considered. The consideration is based on the Dirac equation written in the laboratory (non - rotating) reference frame. Rotation in this approach gives rise to the effective magnetic and electric…

High Energy Physics - Phenomenology · Physics 2018-04-12 M. A. Zubkov

We perform a comparative study for the magnetization dynamics within linear response theory of one and two dimensional massive Dirac electrons, after switching on either a real (hermitian) or an imaginary (non-hermitian) magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2022-10-12 Roberta Zsófia Kiss , Doru Sticlet , Catalin Pascu Moca , Balázs Dóra

It is shown that the electric current of massive fermions along the external magnetic field can be excited in the case when particles possess anomalous magnetic moments and electroweakly interact with background matter. This current is…

High Energy Physics - Phenomenology · Physics 2018-02-15 Maxim Dvornikov

The description of interacting many-electron systems in external magnetic fields is considered in the framework of the optimized effective potential method extended to current-spin-density functional theory. As a case study, a…

Materials Science · Physics 2011-01-14 N. Helbig , S. Kurth , S. Pittalis , E. Räsänen , E. K. U. Gross

Non-Perturbative Quantum Field Theory has played an important role in the study of phenomena where a fermion condensate can appear under certain physical conditions. The familiar phenomenon of electric superconductivity, the color…

High Energy Physics - Phenomenology · Physics 2015-05-18 Vivian de la Incera

On the basis of self-consistent Born approximation for Dirac fermions under charged impurity scatterings in graphene, the theory for calculating the thermo-electric power is developed by using the heat current-current correlation function.…

Strongly Correlated Electrons · Physics 2009-10-23 Xin-Zhong Yan , Yousef Romiah , C. S. Ting

Non-perturbative effect of the formation of a chiral symmetry breaking condensate <\bar\psi\psi> and of a dynamically generated fermion mass in QED in the presence of an external magnetic field is considered. The dynamical mass of a fermion…

High Energy Physics - Theory · Physics 2007-05-23 V. P. Gusynin

In this paper, we analyze the relativistic energy spectrum (or relativistic Landau levels) for charged Dirac fermions with anomalous magnetic moment (AMM) in the presence of the chiral magnetic effect (CME) and of a noncommutative (NC)…

High Energy Physics - Theory · Physics 2025-12-18 R. R. S. Oliveira

The bound states of fermions in the external field of an Abelian dyon are studied here both analytically and numerically. Their existence is due to the dyon's electric charge resulting from a polarization of the fermionic vacuum. The…

High Energy Physics - Theory · Physics 2025-06-25 A. Yu. Loginov

A review is given of a relativistic non-Abelian gauge theory approach to the physics of spin-charge separation in doped quantum antiferromagnetic planar systems, proposed recently by the authors. Emphasis is put on the effects of constant…

Condensed Matter · Physics 2015-06-25 K. Farakos , N. E. Mavromatos

We derive an electric current density $j_{em}$ in the presence of a magnetic field $B$ and a chiral chemical potential $\mu_5$. We show that $j_{em}$ has not only the anomaly-induced term $\propto \mu_5 B$ (i.e. Chiral Magnetic Effect) but…

High Energy Physics - Phenomenology · Physics 2014-11-20 Kenji Fukushima , Marco Ruggieri

We investigate some properties of a system of Dirac fermions in 2+1 dimensions, with a space dependent mass having domain wall like defects.These defects are defined by the loci of the points where the mass changes sign. In general, they…

High Energy Physics - Theory · Physics 2009-10-31 C. D. Fosco , A. Lopez

We develop an extension of the Landau Fermi liquid theory to systems of interacting fermions with non-trivial Berry curvature. We propose a kinetic equation and a constitutive relation for the electromagnetic current that together encode…

Strongly Correlated Electrons · Physics 2019-10-01 Jing-Yuan Chen , Dam Thanh Son

We study the time evolution of the chirality imbalance $n_5$ and the chiral magnetic effect (CME) under the external parallel electromagnetic fields without assuming the artificial chiral asymmetric source. We adopt the time-dependent…

High Energy Physics - Phenomenology · Physics 2021-02-10 Hayato Aoi , Katsuhiko Suzuki

In this paper, we shall address some field theoretic issues regarding the chiral magnetic effect. The general structure of the magnetic current consistent with the electromagnetic gauge invariance is obtained and the impact of the infrared…

High Energy Physics - Phenomenology · Physics 2011-05-13 Defu Hou , Hui Liu , Hai-cang Ren

Spin-spin correlation function response in the low electronic density regime and externally applied electric field is evaluated for 2D metallic crystals under Rashba-type coupling, fixed number of particles and two-fold energy band…

Strongly Correlated Electrons · Physics 2017-10-06 H. Vivas