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Low-energy spin rotons in the fractional quantum Hall effect

2001/03/22 by Sudhansu S. Mandal, J. K. Jain · 2 citations
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Charge (physics) #Composite fermion #Condensed matter physics #Electron #Energy (signal processing) #Fractional quantum Hall effect #Landau quantization #Magnetic field #Physics #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Quantum spin Hall effect #Roton #Semiconductor materials and devices #Spin (aerodynamics) #Spin Hall effect #Spin polarization #Superfluidity #Zeeman effect #Zeeman energy #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.63.201310

published as Phys. Rev. B, 63 (2001) 201310 · Postscript figures included. Accepted in Phys. Rev. B (Rapid Communication)

arxiv created 2001/03/22 · openalex publication_date 2001/05/07 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Motivated by the discovery of extremely low-energy collective modes in the fractional quantum Hall effect [Kang, Pinczuk et al., Phys. Rev. Lett. 84, 546 (2000)], with energies below the Zeeman energy, we study theoretically the spin-reversed excitations for fractional quantum Hall states at \ensuremathν=2/5 and 3/7 and find qualitatively different behavior than for \ensuremathν=1/3. We find that a low-energy, charge-neutral ``spin roton,'' associated with spin-reversed excitations that involve a change in the composite-fermion Landau level index, has energy in reasonable agreement with experiment.

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