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Kazakov A, Simion G, Lyanda-Geller Y, Kolkovsky V, Adamus Z, Karczewski G, Wojtowicz T, Rokhinson LP. Mesoscopic Transport in Electrostatically Defined Spin-Full Channels in Quantum Hall Ferromagnets. PHYSICAL REVIEW LETTERS 2017; 119:046803. [PMID: 29341779 DOI: 10.1103/physrevlett.119.046803] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/10/2017] [Indexed: 06/07/2023]
Abstract
In this work, we use electrostatic control of quantum Hall ferromagnetic transitions in CdMnTe quantum wells to study electron transport through individual domain walls (DWs) induced at a specific location. These DWs are formed due to the hybridization of two counterpropagating edge states with opposite spin polarization. Conduction through DWs is found to be symmetric under magnetic field direction reversal, consistent with the helical nature of these DWs. We observe that long domain walls are in the insulating regime with a localization length of 4-6 μm. In shorter DWs, the resistance saturates to a nonzero value at low temperatures. Mesoscopic resistance fluctuations in a magnetic field are investigated. The theoretical model of transport through impurity states within the gap induced by spin-orbit interactions agrees well with the experimental data. Helical DWs have the required symmetry for the formation of synthetic p-wave superconductors. The achieved electrostatic control of a single helical domain wall is a milestone on the path to their reconfigurable network and ultimately to a demonstration of the braiding of non-Abelian excitations.
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Affiliation(s)
- Aleksandr Kazakov
- Department of Physics and Astronomy, Purdue University, West Lafayette, Indiana 47907, USA
| | - George Simion
- Department of Physics and Astronomy, Purdue University, West Lafayette, Indiana 47907, USA
| | - Yuli Lyanda-Geller
- Department of Physics and Astronomy, Purdue University, West Lafayette, Indiana 47907, USA
- Birck Nanotechnology Center, Purdue University, West Lafayette, Indiana 47907, USA
| | - Valery Kolkovsky
- Institute of Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, PL-02668 Warsaw, Poland
| | - Zbigniew Adamus
- Institute of Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, PL-02668 Warsaw, Poland
| | - Grzegorz Karczewski
- Institute of Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, PL-02668 Warsaw, Poland
| | - Tomasz Wojtowicz
- Institute of Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, PL-02668 Warsaw, Poland
- International Research Centre MagTop, Aleja Lotnikow 32/46, PL-02668 Warsaw, Poland
| | - Leonid P Rokhinson
- Department of Physics and Astronomy, Purdue University, West Lafayette, Indiana 47907, USA
- Birck Nanotechnology Center, Purdue University, West Lafayette, Indiana 47907, USA
- Department of Electrical and Computer Engineering, Purdue University, West Lafayette, Indiana 47907, USA
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Goldman VJ, Su B. Resonant tunneling in the quantum Hall regime: measurement of fractional charge. Science 2010; 267:1010-2. [PMID: 17811442 DOI: 10.1126/science.267.5200.1010] [Citation(s) in RCA: 248] [Impact Index Per Article: 17.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Abstract
In experiments on resonant tunneling through a "quantum antidot" (a potential hill) in the quantum Hall (QH) regime, periodic conductance peaks were observed as a function of both magnetic field and back gate voltage. A combination of the two periods constitutes a measurement of the charge of the tunneling particles and implies that charge deficiency on the antidot is quantized in units of the charge of quasi-particles of the surrounding QH condensate. The experimentally determined value of the electron charge e is 1.57 x 10(-19) coulomb = (0.98 +/- 0.03) e for the states v = 1 and v = 2 of the integer QH effect, and the quasi-particle charge is 5.20 x 10(-20) coulomb = (0.325 +/- 0.01)e for the state v = (1/3) of the fractional QH effect.
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Shopen E, Gefen Y, Meir Y. Quasiparticle tunneling through a barrier in the fractional quantum hall regime. PHYSICAL REVIEW LETTERS 2005; 95:136803. [PMID: 16197164 DOI: 10.1103/physrevlett.95.136803] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/07/2005] [Indexed: 05/04/2023]
Abstract
Tunneling of fractionally charged quasiparticles (QPs) through a barrier is considered in the context of a multiply connected geometry. In this geometry global constraints do not prohibit such a tunneling process. The tunneling amplitude is evaluated and the crossover from mesoscopic QP-dominated to electron-dominated tunneling as the system's size is increased is found. The presence of disorder enhances both electron and QP-tunneling rates.
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Affiliation(s)
- Elad Shopen
- Department of Physics, Ben-Gurion University, Beer-Sheva 84105, Israel
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Cobden DH, Kogan E. Measurement of the conductance distribution function at a quantum Hall transition. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:R17316-R17319. [PMID: 9985946 DOI: 10.1103/physrevb.54.r17316] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Balev OG, Vasilopoulos P. Spatial distribution of the current density and electric field in mesoscopic quantum Hall conductors. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:4863-4872. [PMID: 9986447 DOI: 10.1103/physrevb.54.4863] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Renn SR, Arovas DP. Nonlinear I(V) characteristics of Luttinger liquids and gated Hall bars. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:16832-16839. [PMID: 9978692 DOI: 10.1103/physrevb.51.16832] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Fal'ko VI. Conductance fluctuations in systems with random-magnetic-field scattering. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:17406-17410. [PMID: 9976144 DOI: 10.1103/physrevb.50.17406] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Morgan A, Cobden DH, Pepper M, Jin G, Tang YS, Wilkinson CD. Resistance fluctuations in diffusive transport at high magnetic fields in narrrow Si transistors. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:12187-12190. [PMID: 9975366 DOI: 10.1103/physrevb.50.12187] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Main PC, Geim AK, Carmona HA, Brown CV, Foster TJ, Taboryski R, Lindelof PE. Resistance fluctuations in the quantum Hall regime. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:4450-4455. [PMID: 9976746 DOI: 10.1103/physrevb.50.4450] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Aleiner IL, Shklovskii BI. Effect of screening of the Coulomb interaction on the conductivity in the quantum Hall regime. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:13721-13727. [PMID: 10010316 DOI: 10.1103/physrevb.49.13721] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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13
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Pokrovsky VL, Pryadko LP. Quasi Fermi distribution and resonant tunneling of quasiparticles with fractional charges. PHYSICAL REVIEW LETTERS 1994; 72:124-127. [PMID: 10055582 DOI: 10.1103/physrevlett.72.124] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Maslov DL, Loss D. Edge-state transport and conductance fluctuations in the metallic phase of the quantum Hall regime. PHYSICAL REVIEW LETTERS 1993; 71:4222-4225. [PMID: 10055187 DOI: 10.1103/physrevlett.71.4222] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Feng S, Zhang SC. Little-Parks and Aharonov-Bohm oscillations in fractional Hall regime: Manifestation of Chern-Simons gauge flux. PHYSICAL REVIEW LETTERS 1993; 71:3533-3536. [PMID: 10055001 DOI: 10.1103/physrevlett.71.3533] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Jain JK, Kivelson SA, Thouless DJ. Proposed measurement of an effective flux quantum in the fractional quantum Hall effect. PHYSICAL REVIEW LETTERS 1993; 71:3003-3006. [PMID: 10054833 DOI: 10.1103/physrevlett.71.3003] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Polyakov DG, Shklovskii BI. Conductivity-peak broadening in the quantum Hall regime. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:11167-11175. [PMID: 10007424 DOI: 10.1103/physrevb.48.11167] [Citation(s) in RCA: 48] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Hwang SW, Tsui DC, Shayegan M. Experimental evidence for finite-width edge channels in integer and fractional quantum Hall effects. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:8161-8165. [PMID: 10007007 DOI: 10.1103/physrevb.48.8161] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Polyakov DG, Shklovskii BI. Variable range hopping as the mechanism of the conductivity peak broadening in the quantum Hall regime. PHYSICAL REVIEW LETTERS 1993; 70:3796-3799. [PMID: 10053964 DOI: 10.1103/physrevlett.70.3796] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Brown CV, Geim AK, Foster TJ, Langerak CJ, Main PC. Mesoscopic fluctuations in high magnetic fields: Change in behavior due to boundary diffusion. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:10935-10938. [PMID: 10005222 DOI: 10.1103/physrevb.47.10935] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Hwang SW, Simmons JA, Tsui DC, Shayegan M. Quantum interference in two independently tunable parallel point contacts. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 44:13497-13503. [PMID: 9999552 DOI: 10.1103/physrevb.44.13497] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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