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The effects of interactions in a 2D electron system in a strong magnetic field of two degenerate Landau levels with opposite spins and at filling factors 1/2 are studied. Using the Chern-Simons gauge transformation, the system is mapped to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Matteo Merlo , Nicodemo Magnoli , Maura Sassetti , Bernhard Kramer

We have performed a case study investigating a recently proposed scheme to obtain an effective pair potential for active Brownian particles [Farage et al., Phys. Rev. E 91, 042310 (2015)]. Applying this scheme to the Lennard-Jones…

Statistical Mechanics · Physics 2017-01-05 Markus Rein , Thomas Speck

We obtain a series expansion for the one loop fermion contribution to the effective potential for constant A^a_\mu fields in SU(2) theory with a massive fermionic doublet. The series converges for bounded electric fields in terms of the…

High Energy Physics - Theory · Physics 2007-05-23 Nistor Nicolaevici

We consider the problem of Bosonic particles interacting repulsively in a strong magnetic field at the filling factor $\nu=1$. We project the system in the Lowest Landau Level and set up a formalism to map the dynamics into an interacting…

Condensed Matter · Physics 2009-10-30 V. Pasquier , F. D. M. Haldane

We directly measure the chemical potential jump in the low-temperature limit when the filling factor traverses the nu = 1/3 and nu = 2/5 fractional gaps in two-dimensional (2D) electron system in GaAs/AlGaAs single heterojunctions. In high…

Strongly Correlated Electrons · Physics 2008-05-15 V. S. Khrapai , A. A. Shashkin , M. G. Trokina , V. T. Dolgopolov , V. Pellegrini , F. Beltram , G. Biasiol , L. Sorba

We investigate an influence of an external magnetic field on chiral symmetry breaking in a four-fermion interaction model at finite temperature and chemical potential. By using the Fock-Schwinger proper-time method, we calculate the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Tomohiro Inagaki , Daiji Kimura , Tsukasa Murata

We investigate the effective action of 2+1 dimensional charged spin 1/2 fermions and spin 0 bosons in the presence of a $U(1)$ gauge field. We evaluate terms in an expansion up to second order in derivatives of the field strength, but…

High Energy Physics - Theory · Physics 2009-12-30 Daniel Cangemi , Gerald Dunne , Eric D'Hoker

A maximal realisation of the two-dimensional Pauli operator, subject to Aharonov--Bohm magnetic field, is investigated. Contrary to the case of the Pauli operator with regular magnetic potentials, it is shown that both components of the…

Mathematical Physics · Physics 2025-01-30 Marie Fialova , David Krejcirik

We compute the effective potential $V_{\rm eff}(\phi)$ for one-component real scalar field $\phi$ in three Euclidean dimensions (3D) in the case of spontaneously broken symmetry, from the Monte Carlo simulation of the 3D Ising model in…

High Energy Physics - Lattice · Physics 2009-10-28 M. M. Tsypin

The sequence of prominent fractional quantum Hall states up to $\nu$=5/11 around $\nu$=1/2 in a high mobility two-dimensional electron system confined at oxide heterointerface (ZnO) is analyzed in terms of the composite fermion model. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Denis Maryenko , Joseph Falson , Yusuke Kozuka , Atsushi Tsukazaki , Masaru Onoda , Hideo Aoki , Masashi Kawasaki

Taking into account both Pauli and orbital effects of external magnetic field we compute the mean field phase diagram for charge density waves in quasi-one-dimensional electronic systems. The magnetic field can cause transitions to CDW…

Strongly Correlated Electrons · Physics 2007-05-23 A. Bjelis , D. Zanchi , G. Montambaux

We consider the theory of four-fermion interactions with N-component fermions in de Sitter space. It is found that the effective potential for a composite operator in the theory is calculable in the leading order of the 1/N expansion. The…

High Energy Physics - Theory · Physics 2010-01-06 T. Inagaki , S. Mukaigawa , T. Muta

The activation gap $\Delta$ of the fractional quantum Hall states at constant fillings $\nu =2/3$ and 2/5 has been measured as a function of the perpendicular magnetic field $B$. A linear dependence of $\Delta$ on $B$ is observed while…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. Schulze-Wischeler , E. Mariani , F. Hohls , R. J. Haug

The electroweak vacuum structure in an external magnetic field close to the lower critical value is considered at finite fermion density. It is shown that the leading effect of the fermions is to reduce the symmetry of the W-pair condensate…

High Energy Physics - Phenomenology · Physics 2009-10-22 Erich R. Poppitz

We demonstrate that the inclusion of a BCS importance function dramatically increases the efficiency of the auxiliary field method for strong pairing. We calculate the ground-state energy of an unpolarized fermi gas at unitarity with up to…

Quantum Gases · Physics 2011-12-12 J. Carlson , Stefano Gandolfi , Kevin E. Schmidt , Shiwei Zhang

Small fluctuations around a constant electric or constant magnetic field F are analyzed in a theory with pseudo scalar [phi] with a coupling g[phi]F~F. It is found that a magnetic external field leads to mass generation for the small…

High Energy Physics - Theory · Physics 2009-11-07 Stefano Ansoldi , Eduardo I. Guendelman , Euro Spallucci

We study the magnetic susceptibility of an ensemble of non-interacting electrons confined by parabolic potentials and subjected to a perpendicular magnetic field at finite temperatures. We show that the behavior of the average…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. O. Terra , M. L. Tiago , M. A. M. de Aguiar

We study interacting electrons in a periodic potential and a uniform magnetic field ${\bf B}$ taking the spin-orbit interaction into account. We first establish a perturbation expansion for those electrons with respect to the Bloch states…

Materials Science · Physics 2009-11-11 Takafumi Kita , Masao Arai

The modified Dirac-Pauli equations, which are introduced by means of ${\gamma_5}$-mass factorization of the ordinary Klein-Gordon operator, are considered. We also take into account the interaction of fermions with the intensive homogenous…

High Energy Physics - Theory · Physics 2015-06-19 Vasily N. Rodionov

A nonlinear transformation approach is formulated for the correlated fermions' thermodynamics through a medium-scaling effective action. An auxiliary implicit variable-effective chemical potential is introduced to characterize the…

Statistical Mechanics · Physics 2009-10-20 Ji-sheng Chen