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We consider a noncommutative description of graphene. This description consists of a Dirac equation for massless Dirac fermions plus noncommutative corrections, which are treated in the presence of an external magnetic field. We argue that,…

高能物理 - 理论 · 物理学 2014-01-16 C. Bastos , O. Bertolami , N. Dias , J. Prata

We construct a bosonic quantum field on a general quantum graph. Consistency of the construction leads to the calculation of the total scattering matrix of the graph. This matrix is equivalent to the one already proposed using generalized…

高能物理 - 理论 · 物理学 2009-08-05 E. Ragoucy

We describe electrical transport in ideal single-layer graphene at zero applied bias. There is a crossover from collisionless transport at frequencies larger than k_B T/hbar (T is the temperature) to collision-dominated transport at lower…

介观与纳米尺度物理 · 物理学 2008-08-14 Lars Fritz , Joerg Schmalian , Markus Mueller , Subir Sachdev

Applying a quasiclassical equation to carriers in graphene we found a way how to distinguish between samples with the domination of short and long range scatterers from the conductivity measurements. The model proposed explains recent…

介观与纳米尺度物理 · 物理学 2008-06-12 Maxim Trushin , John Schliemann

Quantum-critical states of diverse strongly correlated systems are predicted to feature universal collision-dominated transport resembling that of viscous fluids. However, investigation of these phenomena has been hampered by the lack of…

介观与纳米尺度物理 · 物理学 2016-05-20 Leonid Levitov , Gregory Falkovich

We derive the polarization tensor of graphene at nonzero temperature in (2+1)-dimensional space-time. The obtained tensor coincides with the previously known one at all Matsubara frequencies, but, in contrast to it, admits analytic…

介观与纳米尺度物理 · 物理学 2016-04-13 M. Bordag , G. L. Klimchitskaya , V. M. Mostepanenko , V. M. Petrov

The minimum conductivity value as well as the linear dependence of conductivity on the charge density near the Dirac point in single and doublelayer graphene is derived from the energy-time uncertainty principle applied to ballistic charge…

介观与纳米尺度物理 · 物理学 2015-05-13 D. Dragoman

We study a finite quantum wire connected to external leads, and show that the conductance of the system significantly depends upon the length of the quantum wire and the position of the impurity in it. For a very long quantum wire and the…

凝聚态物理 · 物理学 2009-10-30 Yu-Liang Liu

The response of an electron system to electromagnetic fields with sharp spatial variations is strongly dependent on quantum electronic properties, even in ambient conditions, but difficult to access experimentally. We use propagating…

We show that the interaction constant governing the long-range electron-electron interaction in a quantum wire coupled to two reservoirs and capacitively coupled to a gate can be determined by a low frequency measurement. We present a…

介观与纳米尺度物理 · 物理学 2009-10-30 Ya. M. Blanter , F. W. J. Hekking , M. Buttiker

In this paper, we develop a theory of edge effects in graphene for its applications to nanoantennas in the terahertz, infrared, and visible frequency ranges. Its characteristic feature is selfconsistence reached due the formulation in terms…

介观与纳米尺度物理 · 物理学 2023-05-26 Tomer Berghaus , Touvia Miloh , Oded Gottlieb , Gregory Slepyan

Recent experiments on the conductance of high quality quantum wires have revealed an unexpected feature: the quantization step of the conductance is apparently system dependent. We provide the understanding of this behaviour using the…

介观与纳米尺度物理 · 物理学 2007-05-23 Petr Seba , Karol Zyczkowski , Jakub Zakrzewski

Strongly correlated electron liquids which occur in quantizing magnetic fields reveal a cornucopia of fascinating quantum phenomena such as fractionally charged quasiparticles, anyonic statistics, topological order, and many others. Probing…

介观与纳米尺度物理 · 物理学 2010-03-09 D. A. Abanin , I. Skachko , X. Du , E. Y. Andrei , L. S. Levitov

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…

介观与纳米尺度物理 · 物理学 2013-08-19 B. M. Ruvinskii , M. A. Ruvinskii

Recently, Rodriguez-Lopez, Wang, and Antezza [Phys. Rev. B v.111, 115428 (2025)] compared the theoretical descriptions of electric conductivity of graphene given by the Kubo model and quantum field theory in terms of the polarization…

介观与纳米尺度物理 · 物理学 2026-05-21 M. Bordag , N. Khusnutdinov , G. L. Klimchitskaya , V. M. Mostepanenko

The characterization of quantum critical phenomena is pivotal for the understanding and harnessing of quantum many-body physics. However, their complexity makes the inference of such fundamental processes difficult. Thus, efficient and…

量子物理 · 物理学 2022-04-27 Ricardo Puebla , Alessio Belenchia , Giulio Gasbarri , Eric Lutz , Mauro Paternostro

We review the method of uniqueness which is a powerful technique for multi-loop calculations in higher dimensional theories with conformal symmetry. We use the method in momentum space and show that it allows a very transparent evaluation…

高能物理 - 理论 · 物理学 2017-04-06 S. Teber , A. V. Kotikov

We study the effect of a structural nanoconstriction on the coherent transport properties of otherwise ideal zig-zag-edged infinitely long graphene ribbons. The electronic structure is calculated with the standard one-orbital tight-binding…

介观与纳米尺度物理 · 物理学 2007-05-23 F. Muñoz-Rojas , D. Jacob , J. Fernández-Rossier , J. J. Palacios

Utilizing a complete Lorentz-covariant and local-gauge-invariant formulation, we discuss graphene response to arbitrary external electric field. The relation, which is called as Kramers-Kr(\ddot{o})nig relation in the paper, between…

介观与纳米尺度物理 · 物理学 2010-02-27 Daqing Liu , Shengli Zhang

We study fluctuations of electric current in a quantum resistor and derive a general quantum-mechanical formula for the distribution of transmitted charge. For that we introduce a scheme of current measurement that involves a spin $1/2$…

凝聚态物理 · 物理学 2007-05-23 L. S. Levitov , G. B. Lesovik