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The energies as a function of the magnetic field ($H$) and the pressure are studied theoretically in the tight-binding model for the two-dimensional organic conductor, $\alpha$-(BEDT-TTF)$_2$I$_3$, in which massless Dirac fermions are…

Mesoscale and Nanoscale Physics · Physics 2017-08-24 Keita Kishigi , Yasumasa Hasegawa

We perform the first systematic study of the nonlinear electromagnetic currents induced by external electromagnetic field in quark-gluon plasma, both in the two cases that the inhomogeneity of electromagnetic field is small (large) so that…

High Energy Physics - Phenomenology · Physics 2014-08-27 Daisuke Satow

The chiral magnetic effect in a strong magnetic field can be described using the chiral anomaly in the $(1+1)$-dimensional massive Schwinger model with a time-dependent $\theta$-term. We perform a digital quantum simulation of the model at…

High Energy Physics - Phenomenology · Physics 2020-07-01 Dmitri E. Kharzeev , Yuta Kikuchi

Based on the Dirac equations in the two-dimensional $\pi-$ flux model, we study the interaction effects both in nontrivial gapped and gapless Dirac equations with numerical exact diagonalization method. In the presence of the nearest and…

Strongly Correlated Electrons · Physics 2015-06-15 Yongfei Jia , Huaiming Guo , Ziyu Chen , Shun-Qing Shen , Shiping Feng

We study Dirac fermions in the presence of a space-dependent chiral gauge field and thermodynamic gradients, establishing a connection to the inverse spin Hall effect. The chiral gauge field induces a chiral magnetic field, resulting in a…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Hung-Hsuan Teh , Tokiro Numasawa , Shun Okumura , Takashi Oka

We study the dependence of the electric conductivity on chemical potential in finite-density $SU(2)$ gauge theory with $N_f = 2$ flavours of rooted staggered sea quarks, in combination with Wilson-Dirac and Domain Wall valence quarks. The…

High Energy Physics - Lattice · Physics 2020-11-25 P. V. Buividovich , D. Smith , L. von Smekal

We explore the properties of the holographic fermions in extremal $R$-charged black hole background with a running chemical potential, as well as the dipole coupling between fermions and the gauge field in the bulk. We find that although…

High Energy Physics - Theory · Physics 2013-12-02 Li Qing Fang , Xian-Hui Ge , Xiao-Mei Kuang

The influence of an external constant uniform magnetic field on the Casimir energy density of a Dirac field under antiperiodic (and periodic) boundary condition is computed by applying Schwinger's proper time method. The result thus…

High Energy Physics - Theory · Physics 2007-05-23 M. V. Cougo-Pinto , C. Farina , A. C. Tort

We consider Dirac fermion confined in harmonic potential and submitted to a constant magnetic field. The corresponding solutions of the energy spectrum are obtained by using the path integral techniques. For this, we begin by establishing a…

High Energy Physics - Theory · Physics 2016-05-06 Abdeldjalil Merdaci , Ahmed Jellal , Lyazid Chetouani

In the presence of a non-vanishing chemical potential the eigenvalues of the Dirac operator become complex. We calculate spectral correlation functions of complex eigenvalues using a random matrix model approach. Our results apply to…

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

We report on a mean-field study of spontaneous breaking of chiral symmetry for Dirac fermions with contact interactions in the presence of chiral imbalance, which is modelled by nonzero chiral chemical potential. We point out that chiral…

High Energy Physics - Theory · Physics 2015-01-22 P. V. Buividovich

We theoretically study magnetic field, temperature, and energy band-gap dependences of magnetizations in the Dirac fermions. We use the zeta function regularization to obtain analytical expressions of thermodynamic potential, from which the…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 F. R. Pratama , M. Shoufie Ukhtary , Riichiro Saito

We consider the recently discovered Dirac semimetals with two Dirac points $\pm{\bf K}$. In the presence of elastic deformations each fermion propagates in a curved space, whose metric is defined by the expansion of the effective…

Mesoscale and Nanoscale Physics · Physics 2015-06-29 M. A. Zubkov

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 investigate electrical transport in a three-dimensional massless Dirac fermion model that describes a Dirac semimetal state realized in topological materials. We derive a set of interdependent diffusion equations with eight local degrees…

Mesoscale and Nanoscale Physics · Physics 2016-06-09 Nobuyuki Okuma , Masao Ogata

Using a generalized proper-time method, we obtain expressions for the fermion density and the QED effective Lagrangian for an external magnetic field at finite chemical potential. The effective Lagrangian and the density are here written in…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Persson , Vad. Zeitlin

We study the influence of a strong imaginary vector potential on the quantum mechanics of particles confined to a two-dimensional plane and propagating in a random impurity potential. We show that the wavefunctions of the non-Hermitian…

Disordered Systems and Neural Networks · Physics 2009-10-30 Christopher Mudry , B. D. Simons , Alexander Altland

The scaling properties of the second order magnetic structure function D_2^{(B)}(r) and the corresponding magnetic correlation function C_2^{(B)}(r) are derived for two-dimensional magnetohydrodynamic turbulence in the kinematic regime…

chao-dyn · Physics 2009-10-31 Joerg Schumacher , Bruno Eckhardt

We show the existence of massive Dirac fermions in electronic band structures of a few Fe atomic layers with perpendicular magnetization. Based on a tight binding model fitted to ab-initio band structure, we observe four distinct massive…

Materials Science · Physics 2015-09-24 Xiao-Tian Zhang , Baolong Xu , Kohji Nakamura , Ryuichi Shindou

We have calculated the explicit form of the real and imaginary parts of the effective potential for uniform magnetic fields which interact with spin-1/2 fermions through the Pauli interaction. It is found that the non-vanishing imaginary…

High Energy Physics - Theory · Physics 2010-10-27 Hyun Kyu Lee , Yongsung Yoon