2011/12/31 by Pengming Zhang, P-M. Zhang, P. A. Horváthy +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Commutative property #Condensed matter physics #Electric field #Geometry #Landau quantization #Magnetic field #Mathematical physics #Noncommutative and Quantum Gravity Theories #Phase transition #Physics #Pure mathematics #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Symmetry (geometry) #Theoretical physics #cond-mat.str-el #hep-th #math-ph #math.MP
paper · pdf · doi:10.1016/j.aop.2012.02.014
23 pages, 22 figures, in press in Annals of Physics
openalex publication_date 2012/02/27 · arxiv created 2012/03/13 · arxiv updated 2012/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The decomposition of the non-commutative Landau (NCL) system into two uncoupled one-dimensional chiral components, advocated by Alvarez, Gomis, Kamimura and Plyushchay [1], is generalized to nonvanishing electric fields. This allows us to discuss the main properties of the NCL problem including its exotic Newton-Hooke symmetry and its relation to the Hall effect. The "phase transition" when the magnetic field crosses a critical value determined by the non-commutative parameter is studied in detail.