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We theoretically show that an interlayer bias voltage in the AB-stacked bilayer graphene nanoribbons with armchair edges induces an electric polarization along the ribbon. Both tight-binding and ab initio calculations consistently indicate…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 Ryo Okugawa , Junya Tanaka , Takashi Koretsune , Susumu Saito , Shuichi Murakami

Using the Kubo formula we develop a general and simple expression for the minimal conductivity in systems described by a two by two Hamiltonian. As an application we derive an analytical expression for the minimal conductivity tensor of…

Mesoscale and Nanoscale Physics · Physics 2012-01-09 Gyula Dávid , Péter Rakyta , László Oroszlány , József Cserti

We present a stochastic formulation of the Keldysh theory to calculate the conductance of a finite Kitaev chain coupled to two electron reservoirs. We study the dependence of the conductance on the number of sites in the chain and find that…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Ruben Doornenbal , Georgios Skantzaris , Henk Stoof

Using the fiber bundle concept developed in geometry and topology, the fractionally quantized Hall conductivity is discussed in the relevant many--particle configuration space. Electron-magnetic field and electron-electron interactions…

Condensed Matter · Physics 2016-08-31 T. Asselmeyer , R. Keiper

We demonstrate the existence of localized electron and hole states in a ring-shaped potential kink in biased bilayer graphene. Within the continuum description, we show that for sharp potential steps the Dirac equation describing carrier…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 L. J. P. Xavier , J. M. Pereira , Andrey Chaves , G. A. Farias , F. M. Peeters

Bilayer silicene has richer physical properties than bilayer graphene due to its buckled structure together with its trigonal symmetric structure. The buckled structure arises from a large ionic radius of silicon, and the trigonal symmetry…

Mesoscale and Nanoscale Physics · Physics 2012-10-01 Motohiko Ezawa

We study the effect of Coulomb interactions on the conductance of a single-mode quantum wire connecting two bulk leads. When the density of electrons in the wire is very low, they arrange in a finite-length Wigner crystal. In this regime…

Mesoscale and Nanoscale Physics · Physics 2010-07-23 K. A. Matveev

Superconductivity with transition temperature $T_c=1.7$ K has been reported in bilayer graphene [1,2]. The main factors, which may shed light on the mechanism of the formation of this superconductivity, are the following. Superconductivity…

Superconductivity · Physics 2018-06-22 G. E. Volovik

We identify graphene as a system where chiral superconductivity can be realized. Chiral superconductivity involves a pairing gap that winds in phase around the Fermi surface, breaking time reversal symmetry. We consider a unique situation…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Rahul Nandkishore , Leonid Levitov , Andrey Chubukov

The conductance, the transmission and the reflection probabilities through rectangular potential barriers and pn-junctions are obtained for bilayer graphene taking into account the four bands of the energy spectrum. We have evaluated the…

Mesoscale and Nanoscale Physics · Physics 2013-05-28 B. Van Duppen , F. M. Peeters

We show simultaneous p and n type carrier injection in bilayer graphene channel by varying the longitudinal bias across the channel and the top gate voltage. The top gate is applied electrochemically using solid polymer electrolyte and the…

Mesoscale and Nanoscale Physics · Physics 2009-09-08 Biswanath Chakraborty , Anindya Das , A. K. Sood

We calculate the conductance through double junctions of the type M(inf.)-Sn-Mm-Sn-M(inf.) and triple junctions of the type M(inf.)-Sn-Mm-Sn-Mm-Sn-M(inf.), where M(inf.) are semi-infinite metallic electrodes, Sn are 'n' layers of…

Mesoscale and Nanoscale Physics · Physics 2008-10-03 J. Peralta-Ramos , A. M. Llois

The quest for unconventional superconductivity governed by Coulomb repulsion between electrons rather than phonon attraction received new momentum with the advent of moir\'e graphene. Initially, delineating the phonon and…

Superconductivity · Physics 2023-05-24 Zhiyu Dong , Andrey V. Chubukov , Leonid Levitov

Using terahertz time-domain spectroscopy, the real part of optical conductivity [$\sigma_{1}(\omega)$] of twisted bilayer graphene was obtained at different temperatures (10 -- 300 K) in the frequency range 0.3 -- 3 THz. On top of a…

Multilayer moir\'e materials can exhibit topological electronic features yet are inherently quasiperiodic -- leading to wave function interference whose Anderson-localizing tendency can be mitigated by topology. We consider a quasiperiodic…

Mesoscale and Nanoscale Physics · Physics 2025-01-22 Xinghai Zhang , Justin H. Wilson , Matthew S. Foster

A graphene sheet partially covered with a bulk superconductor serves as a normal conductor--superconductor (NS) junction, in which electron transport is mainly governed by Andreev reflection (AR). As excess carriers induced over the covered…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Yositake Takane , Katsuhide Yarimizu , Akinobu Kanda

We report room temperature scanning tunneling microscopy and spectroscopy study of bilayer graphene prepared by mechanical exfoliation on SiO$_2$/Si surface and electrically contacted with gold pads using a mechanical mask. The bulk…

Mesoscale and Nanoscale Physics · Physics 2014-02-11 Shyam K. Choudhary , Anjan K. Gupta

While it has been one of the most important new physics discoveries in the last decade, the nature of superconductivity in the twisted graphene family remains an unsolved problem. Motivated by recent scanning tunneling experiments that…

Superconductivity · Physics 2026-02-19 Ke Wang , K. Levin

We study the properties of an electron on a catenoid surface. The catenoid is understood as a realization of a bridge connecting two graphene layer by a smooth surface. The curvature induces a symmetrical reflectionless potential well…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 J. E. G. Silva , J. Saraiva , T. M. Santhiago , Antonio C. A. Ramos , D. R. da Costa

We study ballistic transport in bilayer graphene junctions and show how electrostatic gating, interlayer bias, and homogeneous strain provide complementary control over electron transmission. In the absence of strain, transport is governed…

Mesoscale and Nanoscale Physics · Physics 2026-04-10 Dan-Na Liu , Jun Zheng , Pierre A. Pantaleon