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A properly strained graphene monolayer or bilayer is expected to harbour periodic pseudo-magnetic fields with high symmetry, yet to date, a convincing demonstration of such pseudo-magnetic fields has been lacking, especially for bilayer…

Degeneracy of discrete energy levels of finite-length, metallic single-wall carbon nanotubes depends on type of nanotubes, boundary condition, length of nanotubes and spin-orbit interaction. Metal-1 nanotubes, in which two non-equivalent…

Mesoscale and Nanoscale Physics · Physics 2015-06-30 W. Izumida , R. Okuyama , R. Saito

Bilayer graphene, in the presence of a one-sided spin-orbit interaction (SOI) induced by a suitably chosen substrate, is predicted to exhibit unconventional Quantum Hall states. The new states arise due to strong SOI-induced splittings of…

Mesoscale and Nanoscale Physics · Physics 2018-12-07 Jun Yong Khoo , Leonid Levitov

We present a theory of superconductivity in twisted bilayer graphene in which attraction is generated between electrons on the same honeycomb sublattice when the system is close to a sublattice polarization instability. The resulting Cooper…

Mesoscale and Nanoscale Physics · Physics 2022-10-26 Chunli Huang , Nemin Wei , Wei Qin , Allan MacDonald

This article is a brief review of Zeeman spin-orbit coupling, arising in a low-carrier commensurate N\'eel antiferromagnet subject to magnetic field. The field tends to lift the degeneracy of the electron spectrum. However, a hidden…

Strongly Correlated Electrons · Physics 2019-06-13 Revaz Ramazashvili

Twisted bilayer graphene exhibits prominent correlated phenomena in two distinct regimes: a Kondo lattice near the magic angle, resembling heavy fermion systems, and a triangular correlated domain wall network under interlayer bias, akin to…

Strongly Correlated Electrons · Physics 2025-09-24 Yung-Yeh Chang , Kazuma Saito , Chen-Hsuan Hsu

We propose a straightforward and effective approach for quantifying the band inversion induced by spin-orbit coupling in band insulators. In this approach we define a quantity as a function of wavevector in the Brillouin zone measuring the…

Mesoscale and Nanoscale Physics · Physics 2014-09-23 Jianpeng Liu , David Vanderbilt

Bilayer graphene in a magnetic field supports eight zero-energy Landau levels, which, as a tunable band gap develops, evolve into two nearly-degenerate quartets separated by the band gap. A close look is made into the properties of such an…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 K. Shizuya

The electronic structure of Bernal-stacked graphite subject to tilted magnetic fields has been investigated using infrared magneto-transmission experiments. With the increasing in-plane component of the magnetic field B, we observe…

Mesoscale and Nanoscale Physics · Physics 2012-10-17 N. A. Goncharuk , L. Nadvornik , C. Faugeras , M. Orlita , L. Smrcka

The non-interacting energy spectrum of graphene and its bilayer counterpart consists of multiple degeneracies owing to the inherent spin, valley and layer symmetries. Interactions among charge carriers are expected to spontaneously break…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 R. Thomas Weitz , Monica T. Allen , Benjamin E. Feldman , Jens Martin , Amir Yacoby

Twisted bilayer graphene offers a unique bilayer two-dimensional-electron system where the layer separation is only in sub-nanometer scale. Unlike Bernal-stacked bilayer, the layer degree of freedom is disentangled from spin and valley,…

The intrinsic spin-orbit coupling in the 2D staggered monolayer semiconductors is very large as compared to graphene. The large spin orbit interaction in these materials leads to the opening of a gap in the energy spectrum and…

Mesoscale and Nanoscale Physics · Physics 2019-12-24 Muzamil Shah , Muahmmad Sabieh Anwar

We take a wide-angle view of the problem of monolayer graphene (MLG) where spin-degeneracy lifting is assumed to be possible by wedging in the tunable Rashba spin-orbit coupling(RSOC) and the sub-lattice staggered potential. We next…

Mesoscale and Nanoscale Physics · Physics 2012-09-04 Partha Goswami

Using the low-energy effective Hamiltonian of the ABC-stacked multilayer graphene, pseudo spin coupling to real orbital angular momentum of electron in multilayer graphene is investigated. We show that electron wave function in N-layer…

Mesoscale and Nanoscale Physics · Physics 2015-04-09 Worasak Prarokijjak , Bumned Soodchomshom

We have calculated the optical conductivity of a disorder-free single graphene sheet in the presence of spin-orbit coupling, using the Kubo formalism. Both intrinsic and structural-inversion-asymmetry induced types of spin splitting are…

Mesoscale and Nanoscale Physics · Physics 2010-01-21 P. Ingenhoven , J. Z. Bernad , U. Zuelicke , R. Egger

We use a combined ab-initio calculations and k.p theory based approach to derive a low-energy effective Hamiltonian for monolayer MoS2 at the K point of the Brillouin zone. It captures the features which are present in first-principles…

Mesoscale and Nanoscale Physics · Physics 2013-07-16 Andor Kormányos , Viktor Zólyomi , Neil D. Drummond , Péter Rakyta , Guido Burkard , Vladimir I. Fal'ko

Multilayer graphene lattices allow for an additional tunability of the band structure by the strong perpendicular electric field. In particular, the emergence of the new multiple Dirac points in ABA stacked trilayer graphene subject to…

Mesoscale and Nanoscale Physics · Physics 2020-06-11 Peng Rao , Maksym Serbyn

Exotic correlated insulating phases emerge in the ABC-stacked trilayer graphene-boron nitride Moire super-lattice at both quarter and half-filling. A single-band minimal model with valley contrasting staggered-flux is proposed to capture…

Strongly Correlated Electrons · Physics 2018-10-29 Guo-Yi Zhu , Tao Xiang , Guang-Ming Zhang

The generalized tight-binding model is developed to investigate the magneto-electronic properties in twisted bilayer graphene system. All the interlayer and intralayer atomic interactions are included in the Moire superlattice. The twisted…

Mesoscale and Nanoscale Physics · Physics 2019-07-23 Chiun-Yan Lin , Ming-Fa Lin

It is well established that some kinds of lattice deformations in graphene monolayer, which change electron hopping in sublattice and affect in-plane motion of electrons, may induce out-of-plane pseudo-magnetic fields as large as 100 T.…

Mesoscale and Nanoscale Physics · Physics 2014-04-10 Wen-Yu He , Ying Su , Mudan Yang , Lin He