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Recent theoretical and experimental works on carbon nanotubes (CNTs) have revealed that spin-orbit interaction (SOI) is more robust than it was thought. Motivated by this, we investigate the SOI in helically coiled CNTs. Calculations are…

Mesoscale and Nanoscale Physics · Physics 2014-03-03 Ning Ma , Daqing Liu , Vei Wang , Erhu Zhang , Shengli Zhang

We study electron mechanical coupling in a suspended carbon nanotube (CNT) quantum dot device. Electron spin couples to the flexural vibration mode due to spin-orbit coupling in the electron tunneling processes. In the weak coupling limit,…

Mesoscale and Nanoscale Physics · Physics 2020-02-18 Dong E. Liu

We describe dynamics of spin and valley transitions driven by alternating electric fields in quantum dots defined electrostatically within semiconducting carbon nanotubes (CNT). We use the tight-binding approach to describe the states…

Mesoscale and Nanoscale Physics · Physics 2014-09-04 E. N. Osika , A. Mreńca , B. Szafran

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

We theoretically investigate the current-induced excitation of torsional vibrations in a suspended carbon nanotube (CNT) quantum dot. By considering a CNT clamped between half-metallic ferromagnetic electrodes with an antiparallel…

Mesoscale and Nanoscale Physics · Physics 2026-03-16 Koji Yamada , Wataru Izumida , Mamoru Matsuo , Takeo Kato

Spin-orbit coupling (SOC) is pivotal for various fundamental spin-dependent phenomena in solids and their technological applications. In semiconductors, these phenomena have been so far studied in relatively weak electron-electron…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 D. Maryenko , M. Kawamura , A. Ernst , V. K. Dugaev , E. Ya. Sherman , M. Kriener , M. S. Bahramy , Y. Kozuka , M. Kawasaki

We demonstrate that curvature-induced spin-orbit (SO) coupling induces a $0-\pi$ transition in the Josephson current through a carbon nanotube quantum dot coupled to superconducting leads. In the non-interacting regime, the transition can…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Jong Soo Lim , Rosa Lopez , Mahn-Soo Choi , Ramon Aguado

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

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

We study spin-orbit coupling in metallic carbon nanotubes (CNTs) within the many-body Tomonaga-Luttinger liquid (TLL) framework. For a well defined sub-class of metallic CNTs, that contains both achiral zig-zag as well as a sub-set of…

Strongly Correlated Electrons · Physics 2016-06-15 Piotr Chudzinski

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

Spin-orbit (SO) coupling -- the interaction between a quantum particle's spin and its momentum -- is ubiquitous in nature, from atoms to solids. In condensed matter systems, SO coupling is crucial for the spin-Hall effect and topological…

Quantum Gases · Physics 2015-03-19 Y. -J. Lin , K. Jiménez-García , I. B. Spielman

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…

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

Structure of the spin-orbit coupling varies from material to material and thus finding the correct spin-orbit coupling structure is an important step towards advanced spintronic applications. We show theoretically that the curvature in a…

Mesoscale and Nanoscale Physics · Physics 2011-09-14 Jae-Seung Jeong , Hyun-Woo Lee

We investigate combined effects of spin-orbit coupling and magnetic field in carbon nanotubes containing one or more bends along their length. We show how bends can be used to provide electrical control of confined spins, while spins…

Mesoscale and Nanoscale Physics · Physics 2010-05-25 K. Flensberg , C. M. Marcus

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

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

We investigate the effects of spin-orbit interaction (SOI) and valley mixing on the transport and dynamical properties of a carbon nanotube (CNT) quantum dot in the Kondo regime. As these perturbations break the pseudo-spin symmetry in the…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Davide Mantelli , Catalin Pascu Moca , Gergely Zarand , Milena Grifoni

A theory of electron spin relaxation in semiconducting carbon nanotubes is developed based on the hyperfine interaction with disordered nuclei spins I=1/2 of $^{13}$C isotopes. It is shown that strong radial confinement of electrons…

Materials Science · Physics 2009-11-11 Y. G. Semenov , K. W. Kim , G. J. Iafrate
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