Abstract
It is shown that the localization problem in the theory of the quantized Hall effect is governed by the zero-component grassmannian U(2m) non-linear sigma-model with a THETA-term, a two-dimensional analogue of the THETA-vacuum in Yang-Mills theory. In this case, THETA is to be interpreted as the bare value for the Hall conductivity, determined by an underlying non-critical theory. A detailed derivation is presented starting from the replica method and a delta function distribution for the impurities.
Citation Formats
Pruisken, A M.M.
Localization in the theory of the quantized hall effect: a two-dimensional realization of the theta-vacuum.
Netherlands: N. p.,
1984.
Web.
Pruisken, A M.M.
Localization in the theory of the quantized hall effect: a two-dimensional realization of the theta-vacuum.
Netherlands.
Pruisken, A M.M.
1984.
"Localization in the theory of the quantized hall effect: a two-dimensional realization of the theta-vacuum."
Netherlands.
@misc{etde_6402091,
title = {Localization in the theory of the quantized hall effect: a two-dimensional realization of the theta-vacuum}
author = {Pruisken, A M.M.}
abstractNote = {It is shown that the localization problem in the theory of the quantized Hall effect is governed by the zero-component grassmannian U(2m) non-linear sigma-model with a THETA-term, a two-dimensional analogue of the THETA-vacuum in Yang-Mills theory. In this case, THETA is to be interpreted as the bare value for the Hall conductivity, determined by an underlying non-critical theory. A detailed derivation is presented starting from the replica method and a delta function distribution for the impurities.}
journal = []
volume = {235:2}
journal type = {AC}
place = {Netherlands}
year = {1984}
month = {Jun}
}
title = {Localization in the theory of the quantized hall effect: a two-dimensional realization of the theta-vacuum}
author = {Pruisken, A M.M.}
abstractNote = {It is shown that the localization problem in the theory of the quantized Hall effect is governed by the zero-component grassmannian U(2m) non-linear sigma-model with a THETA-term, a two-dimensional analogue of the THETA-vacuum in Yang-Mills theory. In this case, THETA is to be interpreted as the bare value for the Hall conductivity, determined by an underlying non-critical theory. A detailed derivation is presented starting from the replica method and a delta function distribution for the impurities.}
journal = []
volume = {235:2}
journal type = {AC}
place = {Netherlands}
year = {1984}
month = {Jun}
}