Onsager Relations in a Two-Dimensional Electron Gas with Spin-Orbit Coupling
被引:25
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作者:
Gorini, C.
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CNRS, UMR 7504, Inst Phys & Chim Mat Strasbourg, F-67034 Strasbourg 2, France
Univ Strasbourg, F-67034 Strasbourg 2, FranceCNRS, UMR 7504, Inst Phys & Chim Mat Strasbourg, F-67034 Strasbourg 2, France
Gorini, C.
[1
,2
]
Raimondi, R.
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机构:
Univ Roma Tre, CNISM, I-00146 Rome, Italy
Univ Roma Tre, Dipartimento Fis E Amaldi, I-00146 Rome, ItalyCNRS, UMR 7504, Inst Phys & Chim Mat Strasbourg, F-67034 Strasbourg 2, France
Raimondi, R.
[3
,4
]
Schwab, P.
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机构:
Univ Augsburg, Inst Phys, D-86135 Augsburg, GermanyCNRS, UMR 7504, Inst Phys & Chim Mat Strasbourg, F-67034 Strasbourg 2, France
Schwab, P.
[5
]
机构:
[1] CNRS, UMR 7504, Inst Phys & Chim Mat Strasbourg, F-67034 Strasbourg 2, France
[2] Univ Strasbourg, F-67034 Strasbourg 2, France
[3] Univ Roma Tre, CNISM, I-00146 Rome, Italy
[4] Univ Roma Tre, Dipartimento Fis E Amaldi, I-00146 Rome, Italy
Theory predicts for the two-dimensional electron gas with only a Rashba spin-orbit interaction a vanishing spin Hall conductivity and at the same time a finite inverse spin Hall effect. We show how these seemingly contradictory results are compatible with the Onsager relations: The latter do hold for spin and particle (charge) currents in the two-dimensional electron gas, although (i) their form depends on the experimental setup and (ii) a vanishing bulk spin Hall conductivity does not necessarily imply a vanishing spin Hall effect. We also discuss the situation in which extrinsic spin orbit from impurities is present and the bulk spin Hall conductivity can be different from zero. DOI:10.1103/PhysRevLett.109.246604
机构:
Hebei Normal Univ, Coll Phys, Shijiazhuang 050016, Peoples R China
Hebei Adv Thin Films Lab, Shijiazhuang 050016, Peoples R ChinaHebei Normal Univ, Coll Phys, Shijiazhuang 050016, Peoples R China
Zhang, Ying-Tao
Song, Zhan-Feng
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机构:
Hebei Normal Univ, Coll Phys, Shijiazhuang 050016, Peoples R China
Hebei Adv Thin Films Lab, Shijiazhuang 050016, Peoples R ChinaHebei Normal Univ, Coll Phys, Shijiazhuang 050016, Peoples R China
Song, Zhan-Feng
Li, You-Cheng
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机构:
Hebei Normal Univ, Coll Phys, Shijiazhuang 050016, Peoples R China
Hebei Adv Thin Films Lab, Shijiazhuang 050016, Peoples R ChinaHebei Normal Univ, Coll Phys, Shijiazhuang 050016, Peoples R China
机构:
Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Fis, C1428EHA, Buenos Aires, ArgentinaUniv Buenos Aires, Fac Ciencias Exactas & Nat, Dept Fis, C1428EHA, Buenos Aires, Argentina
Aranzadi, J. I.
Tamborenea, P. I.
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机构:
Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Fis, C1428EHA, Buenos Aires, Argentina
Univ Buenos Aires, CONICET, Inst Fis Buenos Aires, C1428EHA, Buenos Aires, ArgentinaUniv Buenos Aires, Fac Ciencias Exactas & Nat, Dept Fis, C1428EHA, Buenos Aires, Argentina
机构:
Beijing Computat Sci Res Ctr, Beijing 100084, Peoples R China
North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R ChinaBeijing Computat Sci Res Ctr, Beijing 100084, Peoples R China
Chen, Liang
Sun, Jinhua
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机构:
Zhejiang Univ, Dept Phys, Hangzhou 310058, Zhejiang, Peoples R ChinaBeijing Computat Sci Res Ctr, Beijing 100084, Peoples R China
Sun, Jinhua
Tang, Ho-Kin
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机构:
Natl Univ Singapore, Dept Phys, Singapore 117542, SingaporeBeijing Computat Sci Res Ctr, Beijing 100084, Peoples R China
Tang, Ho-Kin
Lin, Hai-Qing
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机构:
Beijing Computat Sci Res Ctr, Beijing 100084, Peoples R ChinaBeijing Computat Sci Res Ctr, Beijing 100084, Peoples R China