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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

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

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…

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

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

We present a general formulation of spin-dependent transport through a clean one-dimensional interacting quantum wire or carbon nanotube, connected to non-collinear ferromagnets via tunnel junctions. We show that the low energy description…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Leon Balents , Reinhold Egger

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

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 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

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 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 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

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

Spin qubits defined in carbon nanotube quantum dots are of considerable interest for encoding and manipulating quantum information because of the long electron spin coherence times expected. However, before carbon nanotubes can find…

Mesoscale and Nanoscale Physics · Physics 2010-04-27 S. J. Chorley , G. Giavaras , J. Wabnig , G. A. C. Jones , C. G. Smith , G. A. D. Briggs , M. R. Buitelaar

We present a new model for the study of spin-orbit coupling in interacting quasi-one-dimensional systems and solve it exactly to find the spectral properties of such systems. We show that the combination of spin-orbit coupling and…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. V. Moroz , K. V. Samokhin , C. H. W. Barnes

Single-wall carbon nanotubes are almost ideal systems for the investigation of exotic many-body effects due to non-Fermi liquid behavior of interacting electrons in one dimension. Recent theoretical and experimental results are reviewed…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Odintsov , H. Yoshioka

A comprehensive theory of electron spin resonance (ESR) for a Luttinger liquid (LL) state of correlated metals is presented. The ESR measurables such as the signal intensity and the line-width are calculated in the framework of Luttinger…

Strongly Correlated Electrons · Physics 2009-11-13 B. Dóra , M. Gulácsi , J. Koltai , V. Zólyomi , J. Kürti , F. Simon

We describe an approach to electrically control the strong interaction between a single electron spin and the vibrational motion of a suspended carbon nanotube resonator. The strength of the deflection-induced spin-phonon coupling is…

Quantum Physics · Physics 2015-10-20 Fang-Yu Hong , Jing-Li Fu , Yan Wu , Zhi-Yan Zhu

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

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
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