Magnetotransport properties of 2D fermionic systems with<i>k</i>-cubic Rashba spin–orbit interaction

We investigate effect of k-cubic spin-orbit interaction on electrical and thermoelectric transport properties of two-dimensional fermionic systems. We obtain exact analytical expressions of the inverse relaxation time (IRT) and the Drude conductivity for long-range Coulomb and short-range delta scattering potentials. The IRT reveals that the scattering is completely suppressed along the three directions θ ′ = (2n + 1)π/3 with n = 1, 2, 3. We also obtain analytical results of the thermopower and thermal conductivity at low temperature. The thermoelectric transport coefficients obey the Wiedemann-Franz law, even in the presence of k-cubic Rashba spin-orbit interaction (RSOI) at low temperature. In the presence of quantizing magnetic field, the signature of the RSOI is revealed through the appearance of the beating pattern in the Shubnikov-de Haas (SdH) oscillations of thermopower and thermal conductivity in low magnetic field regime. The empirical formulae for the SdH oscillation frequencies accurately describe the locations of the beating nodes. The beating pattern in magnetothermoelectric measurement can be used to extract the spin-orbit coupling constant.

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“…The frequencies of SdH oscillations and the location of the beating nodes match very well with the empirical formulae given in Ref. 32 .…”

Section: Introductionsupporting

confidence: 84%

“…The expression of f ± is taken from Ref. 32 , which have been used to explain the beating pattern observed in the SdH oscillation of the collisonal conductivity, i.e.…”

Section: A Thermoelectric Coefficientsmentioning

confidence: 99%

Electrical and thermoelectric transport properties of two-dimensional fermionic systems withk-cubic spin–orbit coupling

Mawrie

Verma²,

Ghosh³

2017

J. Phys.: Condens. Matter

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“…For µ above both gaps [µ 3 in Fig. 10(c)], there are two frequencies, and interference will be observed 27,28,58 . When the difference between A min (µ), and A max (µ) is small, a strong beating is present.…”

Section: Magnetic Oscillationsmentioning

confidence: 99%

Magnetic properties of Dirac fermions in a buckled honeycomb lattice

2015

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We calculate the magnetic response of a buckled honeycomb lattice with intrinsic spin-orbit coupling (such as silicene) which supports valley-spin polarized energy bands when subjected to a perpendicular electric field Ez. By changing the magnitude of the external electric field, the size of the two band gaps involved can be tuned, and a transition from a topological insulator (TI) to a trivial band insulator (BI) is induced as one of the gaps becomes zero, and the system enters a valley-spin polarized metallic state (VSPM). In an external magnetic field (B), a distinct signature of the transition is seen in the derivative of the magnetization with respect to chemical potential (µ) which gives the quantization of the Hall plateaus through the Streda relation. When plotted as a function of the external electric field, the magnetization has an abrupt change in slope at its minimum which signals the VSPM state. The magnetic susceptibility (χ) shows jumps as a function of µ when a band gap is crossed which provides a measure of the gaps' variation as a function of external electric field. Alternatively, at fixed µ, the susceptibility displays an increasingly large diamagnetic response as the electric field approaches the critical value of the VSPM phase. In the VSPM state, magnetic oscillations exist for any value of chemical potential while for the TI, and BI state, µ must be larger than the minimum gap in the system. When µ is larger than both gaps, there are two fundamental cyclotron frequencies (which can also be tuned by Ez) involved in the de-Haas van-Alphen oscillations which are close in magnitude. This causes a prominent beating pattern to emerge.

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“…Another study on the SHE in a 2D hole system has revealed that the SHC strongly depends on the strength of RSOC [47], which is in contrast to the corresponding electron system. The magnetic-field-dependent transport signatures (Shubnikov-de Hass oscillation and quantum-Hall conductivity) [48][49][50][51][52][53] have been considered in both systems, revealing the roles of RSOC. Recently, a series of theoretical works on spin-related phenomena in 2DHG in the presence of a weak magnetic field have been studied by the Culcer group [54][55][56][57].…”

mentioning

confidence: 99%

Photoinduced spin-Hall resonance in a k3 -Rashba spin-orbit coupled two-dimensional hole system

Bhattacharya

Islam

2021

Phys. Rev. B

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We study the band structure modulation and spin-Hall effect of an irradiated two-dimensional heavy-hole system with k 3 -Rashba spin-orbit coupling. We find that the band structure becomes anisotropic under the illumination by the light. Most remarkably, in the presence of linearly polarized light a pair of additional spin-degeneracy points, apart from the point, emerge in the energy dispersion. The locations of these points are solely determined by the amplitude of the incident light. If this degeneracy occurs around the Fermi level, the spin-Hall conductivity exhibits a resonance. Away from the degeneracy points, the light rotates the average spin polarization. The possible effects of k 3 -Dresselhaus spin-orbit coupling are also discussed.

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Magnetotransport properties of 2D fermionic systems withk-cubic Rashba spin–orbit interaction

Cited by 11 publications

References 53 publications

Electrical and thermoelectric transport properties of two-dimensional fermionic systems withk-cubic spin–orbit coupling

Electrical and thermoelectric transport properties of two-dimensional fermionic systems withk-cubic spin–orbit coupling

Magnetic properties of Dirac fermions in a buckled honeycomb lattice

Photoinduced spin-Hall resonance in a k3 -Rashba spin-orbit coupled two-dimensional hole system

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