2014/02/28 by Ivan P. Levkivskyi · 9 citations
Engineering · Mathematics · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Bosonization #Condensed matter physics #Dimension (graph theory) #Electron #Fractional quantum Hall effect #Mathematics #Non-equilibrium thermodynamics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum point contact #Quantum spin Hall effect #Quantum well #Statistical physics #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.93.165427
published in Physical review. B./Physical review. B 93(16) (American Physical Society) · 6+ pages, 4 figures; accepted version
arxiv created 2016/04/02 · openalex publication_date 2016/04/20 · arxiv updated 2016/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Integrability of electron dynamics in one dimension is manifested by the nonequilibrium stationary states. They emerge near a point contact coupling two quantum Hall edges with different chemical potentials. I use the nonequilibrium bosonization technique to show that the effective temperature of such states at the fractional quantum Hall edges has a universal linear dependence on the current through the contact. In contrast, the temperature at eventual equilibrium scales as the square root of the power dissipating at the point contact. I propose to use this distinction to detect these intriguing nonequilibrium states.