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We study the low-energy density of states of Dirac fermions in disordered d-wave superconductor. At zero energy, a finite density of states is obtained via the mechanism of dynamical mass generation in an effective (1+1)-dimensional…

Superconductivity · Physics 2015-11-23 Guo-Zhu Liu

Two-dimensional (2D) massless Dirac electrons appear on a surface of three-dimensional topological insulators. The conductivity of such a 2D Dirac electron system is studied for strong topological insulators in the case of the Fermi level…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 Yositake Takane

We study the transport properties of a neutral graphene sheet with curved regions induced or stabilized by topological defects. The proposed model gives rise to Dirac fermions in a random magnetic field and in the random space dependent…

Disordered Systems and Neural Networks · Physics 2013-05-29 Alberto Cortijo , Marí A. H. Vozmediano

Linear magnetoresistance is a hallmark of 3D Weyl metals in the quantum limit. Recently, a pronounced linear magnetoresistance has also been observed in 2D graphene [Xin et al., Nature 616, 270 (2023)]. However, a comprehensive theoretical…

Mesoscale and Nanoscale Physics · Physics 2026-01-06 Xiao-Bin Qiang , Han-Yi Xu , Ren-Jie Tong , Shuai Li , Zi-Xuan Gao , Peng-Lu Zhao , Hai-Zhou Lu

The understanding of density waves is a vital component of our insight into electronic quantum matters. Here, we propose an additional mosaic to the existing mechanisms such as Fermi-surface nesting, electron-phonon coupling, and exciton…

Strongly Correlated Electrons · Physics 2023-06-22 Tianlun Zhao , Yi Zhang

We consider 1+1 dimensional SU(N) gauge theory coupled to a multiplet of massive Dirac fermions transforming in the adjoint representation of the gauge group. The only global symmetry of this theory is a U(1) associated with the conserved…

High Energy Physics - Theory · Physics 2012-09-18 Rajesh Gopakumar , Akikazu Hashimoto , Igor R. Klebanov , Subir Sachdev , Kareljan Schoutens

We consider 2D Dirac fermions in the presence of three types of disorder: random scalar potential, random gauge potential and random mass with long-range correlations decaying as a power law. Using various methods such as the…

Mesoscale and Nanoscale Physics · Physics 2012-03-29 Andrei A. Fedorenko , David Carpentier , Edmond Orignac

We study equilibrium transport properties of massless Dirac fermions at finite temperature and chemical potential in spacetime accompanied by torsion, which in four dimensions couples with Dirac fermions as an axial gauge field. In…

High Energy Physics - Theory · Physics 2022-12-06 Tatsuya Amitani , Yusuke Nishida

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

We investigate the effects of quenched disorder on a non-interacting tilted Dirac semimetal in two dimensions. Depending on the magnitude of the tilting parameter, the system can have either Fermi points (type-I) or Fermi lines (type-II).…

Disordered Systems and Neural Networks · Physics 2019-09-04 Yu-Li Lee , Yu-Wen Lee

We study the DC transport of finite graphene samples with random gap. Using Dirac fermions to describe the low-energy physics near the Dirac point, we employ a generalized Drude form for the conductivity. The latter is constant for a…

Mesoscale and Nanoscale Physics · Physics 2010-06-14 K. Ziegler , A. Sinner

We present a numerical method to compute the Landauer conductance of noninteracting two-dimensional massless Dirac fermions in disordered systems. The method allows for the introduction of boundary conditions at the ribbon edges and…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 Alexis R. Hernández , Caio H. Lewenkopf

Two-dimensional Dirac semimetal with tilted Dirac cone has recently attracted increasing interest. Tilt of Dirac cone can be realized in a number of materials, including deformed graphene, surface state of topological crystalline insulator,…

Strongly Correlated Electrons · Physics 2018-11-21 Zhao-Kun Yang , Jing-Rong Wang , Guo-Zhu Liu

We study the Fermi level structure of (2+1)-dimensional strongly interacting electron systems in external magnetic field using the AdS/CFT correspondence. The gravity dual of a finite density fermion system is a Dirac field in the…

High Energy Physics - Theory · Physics 2015-06-15 E. Gubankova , J. Brill , M. Cubrovic , K. Schalm , P. Schijven , J. Zaanen

We compare the critical multipoint correlation functions for two-dimensional (massless) Dirac fermions in the presence of a random su(N) (non-Abelian) gauge potential, obtained by three different methods. We critically reexamine previous…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. J. Bhaseen , J. -S. Caux , I. I. Kogan , A. M. Tsvelik

The spectrum of massless Dirac electrons on the side surface of a three-dimensional weak topological insulator is significantly affected by whether the number of unit atomic layers constituting the sample is even or odd; it has a…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Yositake Takane

Two dimensional conformal feld theories have been extensively studied in the past. When considered on the torus, they are strongly constrained by modular invariance. However, introducing relevant deformations or chemical potentials pushes…

High Energy Physics - Theory · Physics 2023-09-26 Jeremías Aguilera-Damia , Mario Solís , Gonzalo Torroba

This work is a continuation of our recent study of non-relativistic charged particles, confined to a sphere enclosing a magnetic dipole at its center. In this sequel, we extend our computations in two significant ways. The first is to a…

High Energy Physics - Theory · Physics 2021-10-27 Jeff Murugan , Jonathan P. Shock , Ruach Pillay Slayen

The properties of surface Dirac Fermions on a 3D topological insulator in proximity to a magnetic insulator with spatially textured magnetization are considered. We present an exact analytical treatment of the spectrum, the bound states and…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Christian Wickles , Wolfgang Belzig

In their paper Ziegler et al. claim that the model of 2D Dirac fermions in a random gauge potential has a finite density of states at zero energy. We point out that the approach used in this paper fails to reproduce the perturbation theory…

Condensed Matter · Physics 2009-10-30 A. A. Nersesyan , A. M. Tsvelik
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