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In this paper, a simple method is proposed to get analytical solutions (or with the help of a finite numerical calculations) of the Dirac-Weyl equation for low energy electrons in graphene in the presence of certain electric and magnetic…

数学物理 · 物理学 2022-12-20 İsmail Burak Ateş , Şengül Kuru , Javier Negro

Motivated by recent experimental progress in preparing encapsulated graphene sheets with ultra-high mobilities up to room temperature, we present a theoretical study of dc transport in doped graphene in the hydrodynamic regime. By using the…

介观与纳米尺度物理 · 物理学 2015-11-10 Iacopo Torre , Andrea Tomadin , Andre K. Geim , Marco Polini

We investigate the effects of the curved geometry on a massless relativistic electron constrained to a graphene strip with a Moebius strip shape. The anisotropic and parity-violating geometry of the Moebius band produces a geometric…

介观与纳米尺度物理 · 物理学 2023-09-25 L. N. Monteiro , J. E. G. Silva , C. A. S. Almeida

Evidence is accumulating for the crucial role of a solid's free electrons in the dynamics of solid-liquid interfaces. Liquids induce electronic polarization and drive electric currents as they flow; electronic excitations, in turn,…

介观与纳米尺度物理 · 物理学 2023-06-27 Xiaoqing Yu , Alessandro Principi , Klaas-Jan Tielrooij , Mischa Bonn , Nikita Kavokine

We study transport properties of clean suspended graphene at the Dirac point. In the absence of the electron-electron interaction, the main contribution to resistivity comes from interaction with flexural (out-of-plane deformation) phonons.…

介观与纳米尺度物理 · 物理学 2015-03-20 I. V. Gornyi , V. Yu. Kachorovskii , A. D. Mirlin

Gauge-theory approach to describe Dirac fermions on a disclinated flexible membrane beyond the inextensional limit is formulated. The elastic membrane is considered as an embedding of 2D surface into R^3. The disclination is incorporated…

介观与纳米尺度物理 · 物理学 2015-05-19 E. A. Kochetov , V. A. Osipov , R. Pincak

Conducting materials typically exhibit either diffusive or ballistic charge transport. However, when electron-electron interactions dominate, a hydrodynamic regime with viscous charge flow emerges (1-13). More stringent conditions…

In this article, we attempt to understand various aspects of turbulent flows in electron hydrodynamics. We analyze a rectangular channel geometry in the presence of an electric field and a Corbino geometry in the presence of a magnetic…

介观与纳米尺度物理 · 物理学 2025-12-16 Kanad Bhattacharya

Two-dimensional electrons in graphene are known to behave as massless fermions with Dirac-Weyl type linear dispersion near the Dirac crossing points. We have investigated the collective excitations of this system in the presence or absence…

介观与纳米尺度物理 · 物理学 2009-11-11 Vadim Apalkov , Xue-Feng Wang , Tapash Chakraborty

In nearly compensated graphene, disorder-assisted electron-phonon scattering or "supercollisions" are responsible for both quasiparticle recombination and energy relaxation. Within the hydrodynamic approach, these processes contribute weak…

介观与纳米尺度物理 · 物理学 2021-04-30 B. N. Narozhny , I. V. Gornyi

Viscous flow of interacting electrons in two dimensional materials features a bunch of exotic effects. A model resembling the Navier-Stokes equation for classical fluids accounts for them in the so called hydrodynamic regime. We performed a…

介观与纳米尺度物理 · 物理学 2025-07-01 Jorge Estrada-Álvarez , Francisco Domínguez-Adame , Elena Díaz

The fate of the charge-neutral Dirac point in graphene in a high magnetic field $H$ has been investigated at low temperatures ($T\sim$ 0.3 K). In samples with small $V_0$ (the gate voltage needed to access the Dirac point), the resistance…

介观与纳米尺度物理 · 物理学 2008-05-21 Joseph G. Checkelsky , Lu Li , N. P. Ong

Hydrodynamic flow of charge carriers in graphene is an energy flow unlike the usual mass flow in conventional fluids. In neutral graphene, the energy flow is decoupled from the electric current, making it difficult to observe the…

介观与纳米尺度物理 · 物理学 2021-08-26 B. N. Narozhny , I. V. Gornyi , M. Titov

We study the hydrodynamic flow of electrons through a smooth potential energy landscape in two dimensions, for which the electrical current is concentrated along thin channels that follow percolating equipotential contours. The width of…

强关联电子 · 物理学 2024-05-24 Aaron Hui , Calvin Pozderac , Brian Skinner

A Dirac-Fermi liquid (DFL)--a doped system with Dirac spectrum--is an important example of a non-Galilean-invariant Fermi liquid (FL). Real-life realizations of a DFL include, e.g., doped graphene, surface states of three-dimensional (3D)…

强关联电子 · 物理学 2021-07-28 Prachi Sharma , Alessandro Principi , Dmitrii L. Maslov

We derive the system of hydrodynamic equations governing the collective motion of massless fermions in graphene. The obtained equations demonstrate the lack of Galilean- and Lorentz invariance, and contain a variety of nonlinear terms due…

介观与纳米尺度物理 · 物理学 2014-09-01 D. Svintsov , V. Vyurkov , V. Ryzhii , T. Otsuji

We present a theory of the finite temperature thermo-electric response functions of graphene, in the hydrodynamic regime induced by electron-electron collisions. In moderate magnetic fields, the Dirac particles undergo a collective…

强关联电子 · 物理学 2008-11-07 Markus Mueller , Subir Sachdev

The behavior of electrons in strained graphene is usually described using effective pseudomagnetic fields in a Dirac equation. Here we consider the particular case of a spatially constant strain. Our results indicate that lattice…

介观与纳米尺度物理 · 物理学 2013-09-10 M. Oliva-Leyva , G. G. Naumis

A generalized Dirac equation is derived in order to describe charge carriers moving in corrugated graphene, which is the case for temperatures above 10{\deg}K due to the presence of flexural phonons. Such interaction is taken into account…

材料科学 · 物理学 2015-10-12 Richard Kerner , Gerardo Naumis

We have gone through the detailed microscopic calculation of the shear viscosity of a 2-dimensional graphene system in the relaxation time approximation-based kinetic theory framework. After getting its final expressions, we compared it…

核理论 · 物理学 2024-03-27 Cho Win Aung , Thandar Zaw Win , Gaurav Khandal , Sabyasachi Ghosh