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We calculate the tunneling density-of-states (DOS) of a disorder-free two-dimensional interacting electron system with a massless-Dirac band Hamiltonian. The DOS exhibits two main features: i) linear growth at large energies with a slope…

Mesoscale and Nanoscale Physics · Physics 2012-07-10 A. Principi , Marco Polini , Reza Asgari , A. H. MacDonald

The realization of graphene has provided a bench-top laboratory for quantum electrodynamics. The low-energy excitations of graphene are two-dimensional massless Dirac fermions with opposite chiralities at the $\pm$K valleys of the graphene…

Mesoscale and Nanoscale Physics · Physics 2024-12-11 Liguo Ma , Raghav Chaturvedi , Phuong X. Nguyen , Kenji Watanabe , Takashi Taniguchi , Kin Fai Mak , Jie Shan

The possible quantum Hall ferromagnet at a filling factor $\nu =0$ is investigated for the zero-energy (N=0) Landau level of the two dimensional massless Dirac fermions in $\alpha$-(BEDT-TTF)$_2$I$_3$ under pressure with tilted cones and a…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Akito Kobayashi , Yoshikazu Suzumura , Hidetoshi Fukuyama , Mark O. Goerbig

The three-dimensional Dirac semimetal is distinct from its two-dimensional counterpart due to its dimensionality and symmetry. Here, we observe that molecule-based quasi-two-dimensional Dirac fermion system, $\alpha$-(BEDT-TTF)$_2$I$_3$,…

Strongly Correlated Electrons · Physics 2023-11-23 Naoya Tajima , Yoshitaka Kawasugi , Takao Morinari , Ryuhei Oka , Toshio Naito , Reizo Kato

The symmetries that protect massless Dirac fermions from a gap opening may become ineffective if the Dirac equation is discretized in space and time, either because of scattering between multiple Dirac cones in the Brillouin zone (fermion…

Mesoscale and Nanoscale Physics · Physics 2022-12-16 A. Donís Vela , M. J. Pacholski , G. Lemut , J. Tworzydło , C. W. J. Beenakker

We study the transversal magnetoconductivity and magnetoresistance of a massive Dirac fermion gas. This can be used as a simple model for gapped Dirac materials. In the zero-mass limit, the case of gapless Dirac semimetals is also studied.…

Mesoscale and Nanoscale Physics · Physics 2018-11-16 Viktor Könye , Masao Ogata

Two-dimensional states in confined thin films of the three-dimensional Dirac semimetal Cd3As2 are probed by transport and capacitance measurements under applied magnetic and electric fields. The results establish the two-dimensional Dirac…

Mesoscale and Nanoscale Physics · Physics 2018-03-21 Luca Galletti , Timo Schumann , Omor F. Shoron , Manik Goyal , David A. Kealhofer , Honggyu Kim , Susanne Stemmer

Usually the quantum spin Hall states are expected to possess gapless, helical edge modes. Are there clean, non-interacting, quantum spin Hall states without gapless, edge modes? We show the generic, $n$-fold-symmetric, momentum planes of…

Mesoscale and Nanoscale Physics · Physics 2022-06-10 Alexander C. Tyner , Shouvik Sur , Danilo Puggioni , James M. Rondinelli , Pallab Goswami

The surface states of topological insulators, which behave as charged massless Dirac fermions, are studied in the presence of a quantizing uniform magnetic field. Using the method of D.H. Lee[1], analytical formula satisfied by the energy…

Mesoscale and Nanoscale Physics · Physics 2011-12-13 Oskar Vafek

We report on far infrared magneto-transmission measurements on a thin graphite sample prepared by exfoliation of highly oriented pyrolytic graphite. In magnetic field, absorption lines exhibiting a blue-shift proportional to sqrtB are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Orlita , C. Faugeras , G. Martinez , D. K. Maude , M. L. Sadowski , M. Potemski

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

We have performed high-resolution angle-resolved photoemission spectroscopy of ternary pnictide CaAuAs which is predicted to be a three-dimensional topological Dirac semimetal (TDS). By accurately determining the bulk-band structure, we…

We propose an experimental setup for the observation of quasi-relativistic massless Fermions. It is based on a T_3 optical lattice, realized by three pairs of counter-propagating lasers, filled with fermionic cold atoms. We show that in the…

Quantum Gases · Physics 2009-12-02 D. Bercioux , D. F. Urban , H. Grabert , W. Häusler

Dirac fermions in condensed matter physics hold great promise for novel fundamental physics, quantum devices and data storage applications. IV-VI semiconductors, in the inverted regime, have been recently shown to exhibit massless…

Mesoscale and Nanoscale Physics · Physics 2016-01-13 B. A. Assaf , T. Phuphachong , V. V. Volobuev , A. Inhofer , G. Bauer , G. Springholz , L. A. de Vaulchier , Y. Guldner

We investigate dissipationless magneto-Seebeck effect in three-dimensional Dirac/Weyl semimetal. The Hall resistivity $\rho_{yx}$ and thermoelectric Hall coefficient $\alpha_{xy}$ exhibit plateaus at the quantum limit, where electrons…

Mesoscale and Nanoscale Physics · Physics 2022-09-14 F. R. Pratama , Riichiro Saito , Nguyen T. Hung

We show that new massless Dirac fermions are generated when a slowly varying periodic potential is applied to graphene. These quasiparticles, generated near the supercell Brillouin zone boundaries with anisotropic group velocity, are…

Mesoscale and Nanoscale Physics · Physics 2008-09-22 Cheol-Hwan Park , Li Yang , Young-Woo Son , Marvin L. Cohen , Steven G. Louie

Condensed matter realization of a single Dirac cone of fermions in two dimensions is a long-standing issue. Here we report the discovery of a single gapless Dirac cone of half-quantized Hall conductance in a magnetically-doped topological…

Mesoscale and Nanoscale Physics · Physics 2023-04-12 Jin-Yu Zou , Rui Chen , Bo Fu , Huan-Wen Wang , Zi-Ang Hu , Shun-Qing Shen

Two-dimensional (2D) Dirac-like electron gases have attracted tremendous research interest ever since the discovery of free-standing graphene. The linear energy dispersion and non-trivial Berry phase play the pivotal role in the remarkable…

The inter-layer magnetoresistance in a multilayered massless Dirac fermion system, $\alpha$-(BEDT-TTF)$_2$I$_3$, under hydrostatic pressure was investigated. We succeeded in detecting the zero-mode (n=0) Landau level and its spin splitting…

Materials Science · Physics 2010-09-30 N. Tajima , M. Sato , S. Sugawara , R. Kato , Y. Nishio , K. Kajita

We consider a two-dimensional massless Dirac operator $H$ in the presence of a perturbed homogeneous magnetic field $B=B_0+b$ and a scalar electric potential $V$. For $V\in L_{\rm loc}^p(\R^2)$, $p\in(2,\infty]$, and $b\in L_{\rm…

Mathematical Physics · Physics 2011-11-22 Martin Könenberg , Edgardo Stockmeyer