The g factor of conduction electrons in aluminium: calculation and application to spin resonance

Beuneu, F.

doi:10.1088/0305-4608/10/12/026

Cited by 16 publications

(6 citation statements)

References 41 publications

(28 reference statements)

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“…2b. A linear fit to the data gives a g -factor of 1.95±0.2, consistent with previous measurements of electrons in Al in the normal state 26 27 .…”

Section: Resultssupporting

confidence: 89%

“…This measurement was repeated at different ; as a function of is shown in Figure 2b. A linear fit to the data gives a g-factor of 1.95±0.2, consistent with previous measurements of electrons in Al in the normal state [26,27].…”

supporting

confidence: 89%

“…Measurements on device B, in which S is 6-nm thick yielded =70±15 ps ( Figs 2b and 3d ). Both the order of magnitude of , as well as the fact that it is inversely proportional to the film thickness, are consistent with spin coherence limited primarily by , the Elliott–Yafet spin–orbit scattering time 5 12 26 27 28 29 30 31 32 33 34 35 36 .…”

Section: Resultssupporting

confidence: 60%

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Quasiparticle spin resonance and coherence in superconducting aluminium

et al. 2015

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Conventional superconductors were long thought to be spin inert; however, there is now increasing interest in both (the manipulation of) the internal spin structure of the ground-state condensate, as well as recently observed long-lived, spin-polarized excitations (quasiparticles). We demonstrate spin resonance in the quasiparticle population of a mesoscopic superconductor (aluminium) using novel on-chip microwave detection techniques. The spin decoherence time obtained (∼100 ps), and its dependence on the sample thickness are consistent with Elliott–Yafet spin–orbit scattering as the main decoherence mechanism. The striking divergence between the spin coherence time and the previously measured spin imbalance relaxation time (∼10 ns) suggests that the latter is limited instead by inelastic processes. This work stakes out new ground for the nascent field of spin-based electronics with superconductors or superconducting spintronics.

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“…2b. A linear fit to the data gives a g -factor of 1.95±0.2, consistent with previous measurements of electrons in Al in the normal state 26 27 .…”

Section: Resultssupporting

confidence: 89%

supporting

confidence: 89%

Section: Resultssupporting

confidence: 60%

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Quasiparticle spin resonance and coherence in superconducting aluminium

et al. 2015

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“…Yet, when a semiconductor is moderately doped, the intraband parts of S(r) 3 and S(r) 4 can make a sizeable impact. Our expression for the intraband part of S(r) 3 can be directly connected to early theoretical attempts 38,39 to determine how the g factor changes away from a band extremum. These theories were nonetheless aware of the lack of gauge-invariance of this term.…”

Section: S(r)mentioning

confidence: 94%

Tight-binding theory of NMR shifts in topological insulatorsBi2Se3andBi2Te3
Boutin
¹
,
Ramírez-Ruiz
²
,
Garate
³

2016
Phys. Rev. B
21
3
14
0
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Motivated by recent nuclear magnetic resonance (NMR) experiments, we present a microscopic sp 3 tight-binding model calculation of the NMR shifts in bulk Bi2Se3 and Bi2Te3. We compute the contact, dipolar, orbital and core polarization contributions to the carrier-density-dependent part of the NMR shifts in 209 Bi, 125 Te and 77 Se. The spin-orbit coupling and the layered crystal structure result in a contact Knight shift with strong uniaxial anisotropy. Likewise, because of spin-orbit coupling, dipolar interactions make a significant contribution to the isotropic part of the NMR shift. The contact interaction dominates the isotropic Knight shift in 209 Bi NMR, even though the electronic states at the Fermi level have a rather weak s-orbital character. In contrast, the contribution from the contact hyperfine interaction to the NMR shift of 77 Se and 125 Te is weak compared to the dipolar and orbital shifts therein. In all cases, the orbital shift is at least comparable to the contact and dipolar shifts, while the shift due to core polarization is subdominant (except for Te nuclei located at the inversion centers). By artificially varying the strength of spin-orbit coupling, we evaluate the evolution of the NMR shift across a band inversion but find no clear signature of the topological transition. arXiv:1602.02649v2 [cond-mat.mes-hall]

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“…On the other hand, in many papers, see, e.g., Refs. [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26], the so-called local g factors g( ) k introduced by De Graaf and Overhauser [27] for points k on the Fermi surface were calculated, and the g factor of the orbit was obtained by integration of g( ) k over the orbit. In this symplified approach the dynamics of the electron spin is neglected completely.…”

Section: Introductionmentioning

confidence: 99%

The electron g factor for one-band and two-band extended models of the electron energy spectrum

Mikitik

Sharlaı̆

2004

Low Temperature Physics

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At present, explicit expressions for the electron g factor in crystals are known only for the following two cases: either the Fermi energy e F of the electrons lies at the edge of the electron energy band, e ( ) k ex , or the electron energy spectrum of a crystal can be approximated by the two-band model. Here we obtain explicit formulas for the g factor in situations when the Fermi level e F is close to but does not coincide with the band edge and when the two-band model of the spectrum includes small corrections from other electron energy bands. In particular, we derive the expressions that describe the dependences of the g factor on e e F -( ) k ex and on the direction of the magnetic field for doped semiconductors. The results are applied to III-V semiconductors and to bismuth.

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The g factor of conduction electrons in aluminium: calculation and application to spin resonance

Cited by 16 publications

References 41 publications

Quasiparticle spin resonance and coherence in superconducting aluminium

Quasiparticle spin resonance and coherence in superconducting aluminium

Tight-binding theory of NMR shifts in topological insulatorsBi2Se3andBi2Te3
Boutin
¹
,
Ramírez-Ruiz
²
,
Garate
³

2016
Phys. Rev. B
21
3
14
0
View full text Add to dashboard Cite

The electron g factor for one-band and two-band extended models of the electron energy spectrum

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The g factor of conduction electrons in aluminium: calculation and application to spin resonance

Cited by 16 publications

References 41 publications

Quasiparticle spin resonance and coherence in superconducting aluminium

Quasiparticle spin resonance and coherence in superconducting aluminium

Tight-binding theory of NMR shifts in topological insulatorsBi2Se3andBi2Te3Boutin1, Ramírez-Ruiz2, Garate3 2016Phys. Rev. B213140View full textAdd to dashboardCite

The electron g factor for one-band and two-band extended models of the electron energy spectrum

Contact Info

Product

Resources

About

Tight-binding theory of NMR shifts in topological insulatorsBi2Se3andBi2Te3
Boutin
¹
,
Ramírez-Ruiz
²
,
Garate
³

2016
Phys. Rev. B
21
3
14
0
View full text Add to dashboard Cite