2004/01/22 by B. Basu, Banasri Basu, P. Bandyopadhyay +1
Physics and Astronomy · #Boson #Condensed matter physics #Electron #Exponent #Landau quantization #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Topological Materials and Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1088/0031-8949/73/4/004
published as Phys. Scr. Vol. 73, pp-332 (2006) · 8 pages
arxiv created 2004/01/22 · openalex publication_date 2006/03/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
It is shown that the deviation of a fractional quantum Hall edge fluid from power-law correlation functions with universal exponent α=1/ν as observed in a recent experiment may be explained when studied in the framework of Berry's phase. At the edge, a nonlocal effect is induced in the construction of the electron creation operator in terms of the edge boson fields. This nonlocality is responsible for the deviation of the power-law exponent from α=1/ν of the edge fluid. The nonlocal effect is incorporated through a length scale which is maximal at the lowest Landau level (LLL). The length scale decreases at the higher LLs and we have mixing of LLs. This will cause edge reconstruction and the existence of a striped phase at ν=1 and 1/3 and will be robust at higher LLs. We have also shown that there are gapless edge excitations described by chiral boson fields and the number of branches of chiral boson fields can be related to the polarization states of electrons in the bulk.