Electric dipole spin resonance at shallow donors in quantum wires

Khomitsky, D. V.; Лаврухина, Е. А.; Sherman, E. Ya.

doi:10.1103/physrevb.99.014308

Cited by 14 publications

(6 citation statements)

References 51 publications

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“…However, there is an additional spin degeneracy in the hole subband dispersions [25]. We note that the above strong spin-orbit coupled electron gas model has many applications in the studies of the spin-orbit qubits [28][29][30][31][32][33][34][35], the Bose-Einstein condensations [36][37][38], the Kondo physics of a spin-orbit coupled quantum wire [39][40][41][42], and the Majorana fermions [43][44][45].…”

Section: Introductionmentioning

confidence: 99%

Searching strong ‘spin’-orbit coupled one-dimensional hole gas in strong magnetic fields

Li¹

2021

J. Phys.: Condens. Matter

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We show that a strong ‘spin’-orbit coupled one-dimensional hole gas is achievable via applying a strong magnetic field to the original two-fold degenerate (spin degeneracy) hole gas confined in a cylindrical Ge nanowire. Both strong longitudinal and strong transverse magnetic fields are feasible to achieve this goal. Based on quasi-degenerate perturbation calculations, we show the induced low-energy subband dispersion of the hole gas can be written as E = ℏ 2 k z 2 / ( 2 m h * ) + α σ z k z + g h * μ B B σ x / 2 , a form exactly the same as that of the electron gas in the conduction band. Here the Pauli matrices σ z,x represent a pseudo spin (or ‘spin’), because the real spin degree of freedom has been split off from the subband dispersions by the strong magnetic field. Also, for a moderate nanowire radius R = 10 nm, the induced effective hole mass m h * ( 0.065 ∼ 0.08 m e ) and the ‘spin’-orbit coupling α (0.35 ∼ 0.8 eV Å) have a small magnetic field dependence in the studied magnetic field interval 1 < B < 15 T, while the effective g-factor g h * of the hole ‘spin’ only has a small magnetic field dependence in the large field region.

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Section: Introductionmentioning

confidence: 99%

Searching strong ‘spin’-orbit coupled one-dimensional hole gas in strong magnetic fields

Li¹

2021

J. Phys.: Condens. Matter

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“…However, there is an additional spin degeneracy in the hole subband dispersions [25]. We note that the above strong * ruili@ysu.edu.cn spin-orbit coupled electron gas model has many applications in the studies of the spin-orbit qubits [28][29][30][31][32][33][34][35], the Bose-Einstein condensations [36][37][38], and the Majorana fermions [39,40].…”

Section: Introductionmentioning

confidence: 99%

Searching strong `spin'-orbit coupled one-dimensional hole gas in strong magnetic fields

2021

Preprint

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We show that a strong 'spin'-orbit coupled one-dimensional (1D) hole gas is achievable via applying a strong magnetic field to the originally two-fold degenerate hole gas confined in a cylindrical Ge nanowire. Both strong longitudinal and strong transverse magnetic fields are feasible to achieve this goal. The induced low-energy subband dispersion of the hole gas can be written as E = 2 k 2 z /(2m * h ) + ασ z kz + g * h µBBσ x /2, a form that is exact the same as that of the electron gas in the conduction band. Also, the induced hole effective m * h (0.07 ∼ 0.08 me) and the 'spin'-orbit coupling α (0.4 ∼ 0.65 eV Å) have a small magnetic field dependence, while the effective g-factor g * h of the hole 'spin' only has a small magnetic field dependence in the large fields region.

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“…To this end, approaches based on the magnetic [3,4] and electric [5,6] fields to manipulate the spin qubit are suggested. Even though the control of the spin qubit is more straightforward with magnetic fields, electrical control of the spin qubit using the electric-dipole spin resonance (EDSR) is favorable in physical realizations [7][8][9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Electrical control of the hole spin qubit in Si and Ge nanowire quantum dots

Milivojević

2021

Preprint

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Strong direct Rashba spin-orbit coupling in Si, Ge, and Ge/Si core/shell nanowire quantum dot (QD) allows for all electrical manipulation of the hole spin qubit. Motivated by this fact, we analyze different fabrication-dependent properties of nanowires, such as orientation, cross section, and the presence of strain, with the goal to find the material and geometry that enables the fastest qubit manipulation, whose speed can be identified using the Rabi frequency. We show that QD in nanowires with a circular cross section (cNWs) enables much weaker driving of the hole spin qubit than QDs embedded in square profile nanowires (sNWs). Assuming the orientation of the Si nanowire that maximizes the spin-orbit effects, our calculations predict that the Rabi frequencies of the hole spin qubits inside Ge and Si sNW QD have comparable strengths for weak electric fields. The global maximum of Rabi frequency is found in Si sNW QD for strong electric fields, putting this setup ahead of others in creating the hole spin qubit. Finally, we demonstrate that strain in Si/Ge core/shell nanowire QD decreases the Rabi frequency. In cNW QD, this effect is weak; in sNW QD, it is possible to optimize the impact of strain with the appropriate tuning of the electric field strength.

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Electric dipole spin resonance at shallow donors in quantum wires

Cited by 14 publications

References 51 publications

Searching strong ‘spin’-orbit coupled one-dimensional hole gas in strong magnetic fields

Searching strong ‘spin’-orbit coupled one-dimensional hole gas in strong magnetic fields

Searching strong `spin'-orbit coupled one-dimensional hole gas in strong magnetic fields

Electrical control of the hole spin qubit in Si and Ge nanowire quantum dots

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