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Understanding how the orbital motion of electrons is coupled to the spin degree of freedom in nanoscale systems is central for applications in spin-based electronics and quantum computation. We demonstrate this coupling of spin and orbit in…

It has recently been recognized that the strong spin-orbit interaction present in solids can lead to new phenomena, such as materials with non-trivial topological order. Although the atomic spin-orbit coupling in carbon is weak, the…

Mesoscale and Nanoscale Physics · Physics 2013-04-12 G. A. Steele , F. Pei , E. A. Laird , J. M. Jol , H. B. Meerwaldt , L. P. Kouwenhoven

The study of spin-related phenomena in materials requires knowledge on the precise form of effective spin-orbit coupling of conducting carriers in the solid-states systems. We demonstrate theoretically that curvature induced by corrugations…

Mesoscale and Nanoscale Physics · Physics 2011-11-30 Jae-Seung Jeong , Jeongkyu Shin , Hyun-Woo Lee

The transport properties of finite nanotubes placed in a magnetic field parallel to their axes are investigated. Upon including spin-orbit coupling and curvature effects, two main phenomena are analyzed which crucially depend on the tube's…

Mesoscale and Nanoscale Physics · Physics 2011-10-28 Miriam del Valle , Magdalena Marganska , Milena Grifoni

We have theoretically explored the spin-orbit interaction in carbon nanotubes. We have found that, besides the dependence on chirality and diameter, the effects of spin-orbit coupling are anisotropic: spin splitting is larger for the higher…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 L. Chico , M. P. Lopez-Sancho , M. C. Munoz

We construct a general theoretical framework for describing curvature-induced spin-orbit interactions on the basis of group theory. Our theory can systematically determine the emergence of spin splitting in the band structure according to…

Mesoscale and Nanoscale Physics · Physics 2025-01-13 A. Yamakage , T. Sato , R. Okuyama , T. Funato , W. Izumida , K. Sato , T. Kato , M. Matsuo

The electronic spin-orbit coupling in carbon nanotubes is strongly enhanced by the curvature of the tube surface and has important effects on the single-particle spectrum. Here, we include the full spin-orbit interaction in the formulation…

Mesoscale and Nanoscale Physics · Physics 2010-07-16 A. Schulz , A. De Martino , R. Egger

The Hamiltonian for nanocones with curvature induced spin orbit coupling have been derived. The effect of curvature induced spin orbit coupling on the electronic properties of graphitic nanocones is considered. Energy spectra for different…

Mesoscale and Nanoscale Physics · Physics 2015-11-10 R. Pincak , J. Smotlacha , M. Pudlak

A continuum model for the effective spin orbit interaction in graphene is derived from a tight-binding model which includes the $\pi$ and $\sigma$ bands. We analyze the combined effects of the intra-atomic spin-orbit coupling, curvature,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. Huertas-Hernando , F. Guinea , A. Brataas

We review the theoretical description of spin-orbit scattering and electron spin resonance in carbon nanotubes. Particular emphasis is laid on the effects of electron-electron interactions. The spin-orbit coupling is derived, and the…

Strongly Correlated Electrons · Physics 2012-09-27 A. De Martino , R. Egger , F. Murphy-Armando , K. Hallberg

The curvature effects in carbon nanotubes are studied analytically as a function of chirality. The pi-orbitals are found to be significantly rehybridized in all tubes, so that they are never normal to the tubes' surface. This results in a…

Strongly Correlated Electrons · Physics 2009-11-07 Alex Kleiner , Sebastian Eggert

We theoretically investigate the deflection-induced coupling of an electron spin to vibrational motion due to spin-orbit coupling in suspended carbon nanotube quantum dots. Our estimates indicate that, with current capabilities, a quantum…

Mesoscale and Nanoscale Physics · Physics 2012-06-05 András Pályi , P. R. Struck , Mark Rudner , Karsten Flensberg , Guido Burkard

A theoretical description of ESR in 1D interacting metals is given, with primary emphasis on carbon nanotubes. The spin-orbit coupling is derived, and the resulting ESR spectrum is analyzed by field theory and exact diagonalization. Drastic…

Strongly Correlated Electrons · Physics 2009-11-07 A. De Martino , R. Egger , K. Hallberg , C. A. Balseiro

Electrons in atoms possess both spin and orbital degrees of freedom. In non-relativistic quantum mechanics, these are independent, resulting in large degeneracies in atomic spectra. However, relativistic effects couple the spin and orbital…

Mesoscale and Nanoscale Physics · Physics 2008-04-07 F. Kuemmeth , S. Ilani , D. C. Ralph , P. L. McEuen

We study spin-orbit proximity effects in a hybrid heterostructure build of a one-dimensional (1D) armchair carbon nanotube and two-dimensional (2D) buckled monolayer bismuthene. We show, by performing first-principles calculations, that…

Mesoscale and Nanoscale Physics · Physics 2023-05-19 Marcin Kurpas

Interaction-induced magnetism at the ends of carbon nanotubes is studied theoretically, with a special focus on magnetic anisotropies. Spin-orbit coupling, generally weak in ordinary graphene, is strongly enhanced in nanotubes. In…

Mesoscale and Nanoscale Physics · Physics 2012-03-26 Manuel J. Schmidt

Energy spectra and transport properties of armchair nanotubes with curvature induced spin-orbit interaction are investigated thoroughly. The spin-orbit interaction consists of two terms: the first one preserves the spin symmetry in rotating…

Mesoscale and Nanoscale Physics · Physics 2014-06-03 K. N. Pichugin , M. Pudlak , R. G. Nazmitdinov

We calculate the static longitudinal polarizability of single-wall carbon nanotubes in the long wavelength limit taking into account spin-orbit effects. We use a four-orbital orthogonal tight-binding formalism to describe the electronic…

Mesoscale and Nanoscale Physics · Physics 2014-07-14 Ginetom S. Diniz , Sergio E. Ulloa

We develop an effective tight-binding Hamiltonian for spin-orbit (SO) interaction in bent carbon nanotubes (CNT) for the electrons forming the $\pi$ bonds between the nearest neighbor atoms. We account for the bend of the CNT and the…

Mesoscale and Nanoscale Physics · Physics 2015-10-30 E. N. Osika , B. Szafran

We report on spin dependent transport measurements in carbon nanotubes based multi-terminal circuits. We observe a gate-controlled spin signal in non-local voltages and an anomalous conductance spin signal, which reveal that both the spin…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 C. Feuillet-Palma , T. Delattre , P. Morfin , J. -M. Berroir , G. Fève , D. C. Glattli , B. Placais , A. Cottet , T. Kontos
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