Formal derivation of the Laughlin function and its generalization for other topological phases of FQHE
Keyword(s):
AbstractUsing the braid symmetry we demonstrate the derivation of the Laughlin function for the main hierarchy 1/q of FQHE in the lowest Landau level of two-dimensional electron system with a mathematical rigour. This proves that the derivation of Laughlin function unavoidably requires some topological elements and cannot be completed within a local quantum mechanics, i.e., without global topological constraints imposed. The method shows the way for the generalization of this function onto other fractions from the general quantum Hall hierarchy. A generalization of the Laughlin function is here formulated.
2004 ◽
Vol 22
(1-3)
◽
pp. 181-184
◽
Keyword(s):
1999 ◽
Vol 47
(1-4)
◽
pp. 17-21
◽
Keyword(s):
Keyword(s):