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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…

介观与纳米尺度物理 · 物理学 2016-09-21 Yositake Takane

Space Charge Limited Current (SCLC) based conduction has been identified for PCMO-based RRAM devices based on the observation that $I \propto V^{\alpha}$ where $\alpha \approx 2$. A critical feature of the IV characteristics is a sharp rise…

材料科学 · 物理学 2016-05-30 I. Chakraborty , N. Panwar , A. Khanna , U. Ganguly

Layered heavy-metal square-lattice compounds have recently emerged as potential Dirac fermion materials due to bonding within those sublattices. We report quantum transport and spectroscopic data on the layered Sb square-lattice material…

Two-dimensional (2D) Dirac fermions occur ubiquitously in condensed matter systems from topological phases to quantum critical points. Since the advent of topological semimetals, where the dispersion is often tilted around the band crossing…

无序系统与神经网络 · 物理学 2025-12-11 Swadeepan Nanda , Pavan Hosur

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…

介观与纳米尺度物理 · 物理学 2012-03-29 Andrei A. Fedorenko , David Carpentier , Edmond Orignac

We present a theory describing the superconducting (SC) interaction of Dirac electrons in a quasi-two-dimensional system consisting of a stack of N planes. The occurrence of a SC phase is investigated both at T=0 and T\neq 0, in the case of…

超导电性 · 物理学 2020-10-05 E. C. Marino , Lizardo H. C. M. Nunes

We investigate the semiclassical dynamics of massless Dirac fermions in 2+1 dimensions in the presence of external electromagnetic fields. By generalizing the $\alpha$ matrices to the spin-$S$ matrices and doing a certain scaling, we…

介观与纳米尺度物理 · 物理学 2015-05-30 Moitri Maiti , R. Shankar

In this study, analytical models for space charge limited current (SCLC) transport in a porous (or disordered) trap-limited dielectric are derived for both planar and cylindrical configuration. By considering the porous solid as a…

应用物理 · 物理学 2023-08-01 Samra Kanwal , Chun Yun Kee , L. K. Ang

Recently the existence of a random critical line in two dimensional Dirac fermions is confirmed. In this paper, we focus on its scaling properties, especially in the critical region. We treat Dirac fermions in two dimensions with two types…

无序系统与神经网络 · 物理学 2009-10-31 Y. Morita , Y. Hatsugai

For field emission (FE), it is widely expected that its emitting current density $J$ will become space-charge-limited current (SCLC) due the built-up of charge in-transit within a gap spacing $D$ biased at sufficiently large voltage $V$. In…

等离子体物理 · 物理学 2021-05-24 Cherq Chua , Chun Yun Kee , Yee Sin Ang , L. K. Ang

We theoretically propose that the Dirac fermion in two-dimensions shows the giant nonlinear responses to electromagnetic fields in terahertz region. A scaling form is obtained for the current and magnetization as functions of the normalized…

介观与纳米尺度物理 · 物理学 2016-03-23 Takahiro Morimoto , Naoto Nagaosa

Dissipationless charge transport is one of the defining properties of superconductors (SC). The interplay between dimensionality and disorder in determining the onset of dissipation in SCs remains an open theoretical and experimental…

介观与纳米尺度物理 · 物理学 2020-04-27 A. Benyamini , E. J. Telford , D. M. Kennes , D. Wang , A. Williams , K. Watanabe , T. Taniguchi , J. Hone , C. R. Dean , A. J. Millis , A. N. Pasupathy

The emergence of halide perovskites in photovoltaics has diversified the research on this material family and extended their application towards several fields in the optoelectronics, such as photo- and ionizing-radiation-detectors. One of…

材料科学 · 物理学 2022-01-05 Osbel Almora , Daniel Miravet , Marisé García-Batlle , Germà Garcia-Belmonte

We numerically calculate the conductivity $\sigma$ of an undoped graphene sheet (size $L$) in the limit of vanishingly small lattice constant. We demonstrate one-parameter scaling for random impurity scattering and determine the scaling…

介观与纳米尺度物理 · 物理学 2011-11-09 J. H. Bardarson , J. Tworzydło , P. W. Brouwer , C. W. J. Beenakker

We investigate the scaling properties of the recently acquired fermionic non--linear $\sigma$--model which controls gapless diffusive modes in a two--dimensional disordered system of Dirac electrons beyond charge neutrality. The transport…

介观与纳米尺度物理 · 物理学 2012-10-29 Andreas Sinner , Klaus Ziegler

We study the stability of Dirac semimetals with $N$ nodes in three spatial dimensions against strong $1/r$ Coulomb interactions. We particularly study the cases of $N=4$ and $N=16$, where the $N=4$ Dirac semimetal is described by the…

强关联电子 · 物理学 2014-08-25 Akihiko Sekine , Kentaro Nomura

The general Dirac equation in 1+1 dimensions with a potential with a completely general Lorentz structure is studied. Considering mixed vector-scalar-pseudoscalar square potentials, the states of relativistic fermions are investigated. This…

量子物理 · 物理学 2015-11-24 Luiz P. de Oliveira , Luis B. Castro

Recent studies have applied variational calculus, conformal mapping, and point transformations to extend the one-dimensional SCLC from planar gaps to more complicated geometries. However, introducing a magnetic field orthogonal to the…

等离子体物理 · 物理学 2025-08-04 Jack K. Wright , N. R. Sree Harsha , Allen L. Garner

In a flat band superconductor, the charge carriers' group velocity vF is extremely slow, quenching their kinetic energy. The emergence of superconductivity thus appears paradoxical, as conventional BCS theory implies a vanishing coherence…

We numerically investigate critically delocalized wavefunctions in models of 2D Dirac fermions, subject to vector potential disorder. These describe the surface states of 3D topological superconductors, and can also be realized through…

无序系统与神经网络 · 物理学 2014-05-02 Yang-Zhi Chou , Matthew S. Foster
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