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Related papers: Dunkl-Graphene in constant magnetic field

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I present a concise account concerning the emergence of a research field, which deals with the thermal properties of graphene, covering the refinement of understanding of phonon transport in two-dimensional material systems. The practical…

Mesoscale and Nanoscale Physics · Physics 2022-03-01 Alexander A. Balandin

We have studied magnetization of graphene nanocrystals obtained by sonic exfoliation of graphite. No ferromagnetism is detected at any temperature down to 2 K. Neither do we find strong paramagnetism expected due to the massive amount of…

Mesoscale and Nanoscale Physics · Physics 2010-11-24 M. Sepioni , R. R. Nair , S. Rablen , J. Narayanan , F. Tuna , R. Winpenny , A. K. Geim , I. V. Grigorieva

The authors proposed a simple model for the lattice thermal conductivity of graphene in the framework of Klemens approximation. The Gruneisen parameters were introduced separately for the longitudinal and transverse phonon branches through…

Materials Science · Physics 2015-05-13 D. L. Nika , S. Ghosh , E. P. Pokatilov , A. A. Balandin

The interband and intraband conductivities of doped graphene were theoretically investigated beyond the linear response. The new dependences of induced currents on frequency and amplitude of external electric field, the graphene temperature…

Mesoscale and Nanoscale Physics · Physics 2013-08-19 B. M. Ruvinskii , M. A. Ruvinskii

The polarization tensor of graphene derived in the framework of the Dirac model using the methods of thermal quantum field theory in (2+1) dimensions is recast in a mathematically equivalent but more compact and convenient in computations…

Quantum Physics · Physics 2025-02-20 G. L. Klimchitskaya , C. C. Korikov , V. M. Mostepanenko

Low-energy transport measurements in Quantum Hall systems have been argued to be governed by emergent modular symmetries whose predictions are robust against many of the detailed microscopic dynamics. We propose the recently-observed…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 C. P. Burgess , B. P. Dolan

The magnetic properties of disordered graphene and irradiated graphite are systematically studied using a combination of mean-field Hubbard model and first-principles calculations. By considering large-scale disordered models of graphene, I…

Materials Science · Physics 2008-07-17 Oleg V. Yazyev

The density of electron-hole pairs produced in a graphene sample immersed in a homogeneous time-dependent electrical field is evaluated. Because low energy charge carriers in graphene are described by relativistic quantum mechanics, the…

Mesoscale and Nanoscale Physics · Physics 2017-04-24 F. Fillion-Gourdeau , P. Blain , D. Gagnon , C. Lefebvre , S. MacLean

This study investigates the nanoscale conductivity of encapsulated monolayer graphene at temperatures down to 5 K and magnetic fields of up to 1 T. We use the scattering-type scanning near-field optical microscopy (s-SNOM) technique to…

We compute and compare the effects due to a uniform perpendicular magnetic field as well as temperature on the static polarization functions for monolayer graphene (MLG), associated with the Dirac point, with that for the two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Godfrey Gumbs , Antonios Balassis , Dipendra Dahal , M. L. Glasser

Free-standing graphene is inherently crumpled in the out-of-plane direction due to dynamic flexural phonons and static wrinkling. We explore the consequences of this crumpling on the effective mechanical constants of graphene. We develop a…

A study of strongly curved graphene magnetization and magnetic susceptibility is carried out. Through a Dirac model complemented with a tight-binding model analysis, we are able to show that mechanical deformations solve the long-standing…

Mesoscale and Nanoscale Physics · Physics 2024-07-18 Abdiel de Jesús Espinosa-Champo , Gerardo G. Naumis , Pavel Castro-Villarreal

Electric and magnetic waveguides are considered in planar Dirac materials like graphene as well as their classical version for relativistic particles of zero mass and electric charge. In order to solve the Dirac-Weyl equation analytically,…

Mathematical Physics · Physics 2024-05-30 David Barranco , Şengül Kuru , Javier Negro

We find that, for a very specific shape of a monolayer graphene sample, a general relativistic-like description of a back-ground spacetime for graphene's conductivity electrons is very natural. The corresponding electronic local density of…

Materials Science · Physics 2012-09-04 Alfredo Iorio , Gaetano Lambiase

Recent measurements revealed an anomalous Coulomb drag in graphene, hinting at new physics at charge neutrality. The anomalous drag is explained by a new mechanism based on energy transport, which involves interlayer energy transfer,…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 Justin C. W. Song , Dmitry A. Abanin , Leonid S. Levitov

When electrons are confined in two dimensions and subjected to strong magnetic fields, the Coulomb interactions between them become dominant and can lead to novel states of matter such as fractional quantum Hall liquids. In these liquids…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Kirill I. Bolotin , Fereshte Ghahari , Michael D. Shulman , Horst L. Stormer , Philip Kim

We consider a quantum graph as a model of graphene in constant magnetic field and describe the density of states in terms of relativistic Landau levels satisfying a Bohr--Sommerfeld quantization condition. That provides semiclassical…

Mathematical Physics · Physics 2019-05-01 Simon Becker , Maciej Zworski

We theoretically study the diamagnetic levitation and the thermal-driven motion of graphite. Using the quantum-mechanically derived magnetic susceptibility, we compute the equilibrium position of levitating graphite over a periodic…

Mesoscale and Nanoscale Physics · Physics 2019-07-17 Manato Fujimoto , Mikito Koshino

We calculate the classic Hall conductivity and mobility of the undoped and doped (or in the gate voltage) graphene as a function of temperature, magnetic field, and carrier concentration. Carrier collisions with defects and acoustic phonons…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. A. Falkovsky

Graphene has a multitude of striking properties that make it an exceedingly attractive material for various applications, many of which will emerge over the next decade. However, one of the most promising applications lie in exploiting its…

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