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We have discovered two-dimensional zero-gap material with a layered structure in the organic conductor $\alpha$-(BEDT-TTF)$_2$I$_3$ under high hydrostatic pressure. In contrast to graphene, the electron-hole symmetry is not good except at…

Mesoscale and Nanoscale Physics · Physics 2012-01-16 N. Tajima , R. Kato , S. Sugawara , Y. Nishio , K. Kajita

Motivated by the recent measurement of the activation energy at the quantum Hall state at the filling factor f=1 in graphene we discuss the scaling of the interaction-induced gaps in vicinity of the Dirac point with the magnetic field. The…

Mesoscale and Nanoscale Physics · Physics 2009-05-20 Igor F. Herbut , Bitan Roy

We consider Dirac fermions interacting with a disordered non-Abelian vector potential. The exact solution is obtained through a special type of conformal field theory including logarithmic correlators, without resorting to the replica or…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 J. -S. Caux , N. Taniguchi , A. M. Tsvelik

We present a theory of the emission spectrum of magnetoexcitons interacting with a $\nu = 1$ quantum Hall state of massive Dirac fermions in monolayer transition metal dichalcogenides in high magnetic fields. Using an ab initio-parametrized…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Katarzyna Sadecka , Marek Korkusinski , Ludmiła Szulakowska , Paweł Hawrylak

I investigate three dimensional abelian and non-abelian gauge theories interacting with Dirac fermions. Using a variational method I evaluate the vacuum energy density in the one-loop approximation. It turns out that the states with a…

High Energy Physics - Theory · Physics 2009-10-30 Paolo Cea

The response to a magnetic flux is considered of the vacuum state of charged Dirac fermions interacting with a domain wall made of a neutral spinless field in (3+1) dimensions with the fermion mass having a phase variation across the wall.…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. B. Voloshin

Weyl semimetals realize massless relativistic fermions with two Weyl nodes separated in energy and momentum space, whose low-energy physics is described by Dirac fermions with an axial gauge constant. Here, we study their electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2023-01-10 Tatsuya Amitani , Yusuke Nishida

Within a Supersymmetric Quantum Mechanics (SUSY-QM) framework, the (3+1) Dirac equation describing a Dirac material in the presence of external parallel electric and magnetic fields is solved. Considering static but non-uniform electric and…

High Energy Physics - Theory · Physics 2023-06-29 Julio Cesar Pérez-Pedraza , Juan D. García-Muñoz , A. Raya

The role of electron-electron interactions on two-dimensional Dirac fermions remains enigmatic. Using a combination of nonperturbative numerical and analytical techniques that incorporate both the contact and long-range parts of the Coulomb…

Strongly Correlated Electrons · Physics 2018-08-14 Ho-Kin Tang , J. N. Leaw , J. N. B. Rodrigues , I. F. Herbut , P. Sengupta , F. F. Assaad , S. Adam

We discuss the low-energy dynamics of massless Dirac fermions interacting with a propagating, relativistic photon in 2+1 spacetime dimensions, when we turn on a uniform magnetic field. This problem can be solved when the magnetic field is…

High Energy Physics - Theory · Physics 2025-08-06 Thomas T. Dumitrescu , Juan Maldacena

A model of 2D massive Dirac fermions, interacting with a instantaneous $1/r$ Coulomb interaction, is presented to mimic the physics of gapped graphene. The static polarization function is calculated explicitly to analyze screening effect at…

Other Condensed Matter · Physics 2015-05-20 Jia-Ning Zhang

We construct an explicit local operator realization that reproduces Dirac fermion correlation functions in three spacetime dimensions within an Abelian Chern-Simons framework and use it to examine the conjectured operator and deformation…

High Energy Physics - Theory · Physics 2026-02-25 Vaibhav Wasnik

We study the behavior of two-dimensional Dirac fermions in the presence of a static long-range-correlated random vector potential. By applying an exact path integral representation for the propagator of a spinor particle we obtain…

Condensed Matter · Physics 2009-11-07 D. V. Khveshchenko , A. G. Yashenkin

We study a model in $d = 2 + 1$ space-time dimensions with two sectors. One of them, which can be considered as the visible sector, contains just a $U(1)$ gauge field which acts as a probe for the other (hidden) sector, given by a second…

High Energy Physics - Theory · Physics 2020-06-24 Alan Rapoport , Fidel A. Schaposnik

We perform a first lattice QCD simulation including two-flavor dynamical fermion with a chiral chemical potential. Because the chiral chemical potential gives rise to no sign problem, we can exactly analyze a chirally imbalanced QCD matter…

High Energy Physics - Lattice · Physics 2011-07-18 Arata Yamamoto

A range of quantum field theoretical phenomena driven by external magnetic fields and their applications in relativistic systems and quasirelativistic condensed matter ones, such as graphene and Dirac/Weyl semimetals, are reviewed. We start…

High Energy Physics - Phenomenology · Physics 2015-04-13 Vladimir A. Miransky , Igor A. Shovkovy

We report on a numerical study of real-time dynamics of electromagnetically interacting chirally imbalanced lattice Dirac fermions within the classical statistical field theory approach. Namely, we perform exact simulations of the real-time…

High Energy Physics - Theory · Physics 2016-07-13 P. V. Buividovich , M. V. Ulybyshev

We study the unconventional behavior of massless Dirac fermions due to interaction with a U(1) gauge field in two spatial dimensions. At zero chemical potential, the longitudinal and transverse components of gauge interaction are both…

Strongly Correlated Electrons · Physics 2012-05-14 Jing Wang , Guo-Zhu Liu

The emergence of the Chiral Magnetic Effect (CME) and the related anomalous current is investigated using the real time Dirac-Heisenberg-Wigner formalism. This method is widely used for describing strong field physics and QED vacuum…

High Energy Physics - Phenomenology · Physics 2018-08-08 Dániel Berényi , Péter Lévai

Neutral fermions of spin $\frac 12$ with magnetic moment can interact with electromagnetic fields through nonminimal coupling. The Dirac--Pauli equation for such a fermion coupled to a spherically symmetric or central electric field can be…

Quantum Physics · Physics 2009-11-06 Qiong-gui Lin
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