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- W2094052007 abstract "We consider spin-polarized electrons in a single Landau level on a torus. The quantum Hall problem is mapped onto a one-dimensional lattice model with lattice constant $2ensuremath{pi}/{L}_{1}$, where ${L}_{1}$ is a circumference of the torus (in units of the magnetic length). In the Tao-Thouless limit ${L}_{1}ensuremath{rightarrow}0$, the interacting many-electron problem is exactly diagonalized at any rational filling factor $ensuremath{nu}=p/qensuremath{le}1$. For odd $q$, the ground state has the same qualitative properties as a bulk $({L}_{1}ensuremath{rightarrow}ensuremath{infty})$ quantum Hall hierarchy state and the lowest-energy quasiparticle excitations have the same fractional charges as in the bulk. These states are the ${L}_{1}ensuremath{rightarrow}0$ limits of the Laughlin and Jain wave functions for filling fractions where these exist. We argue that the exact solutions generically, for odd $q$, are continuously connected to the two-dimensional bulk quantum Hall hierarchy states---i.e., that there is no phase transition as ${L}_{1}ensuremath{rightarrow}ensuremath{infty}$ for filling factors where such states can be observed. For even-denominator fractions, a phase transition occurs as ${L}_{1}$ increases. For $ensuremath{nu}=1/2$ this leads to the system being mapped onto a Luttinger liquid of neutral particles at small but finite ${L}_{1}$; this then develops continuously into the composite fermion wave function that is believed to describe the bulk $ensuremath{nu}=1/2$ system. The analysis generalizes to non-Abelian quantum Hall states." @default.
- W2094052007 created "2016-06-24" @default.
- W2094052007 creator A5056417959 @default.
- W2094052007 creator A5081998166 @default.
- W2094052007 date "2008-04-08" @default.
- W2094052007 modified "2023-10-14" @default.
- W2094052007 title "Quantum Hall system in Tao-Thouless limit" @default.
- W2094052007 cites W1507857676 @default.
- W2094052007 cites W1601700513 @default.
- W2094052007 cites W1963826472 @default.
- W2094052007 cites W1964785391 @default.
- W2094052007 cites W1965980757 @default.
- W2094052007 cites W1969128440 @default.
- W2094052007 cites W1974861603 @default.
- W2094052007 cites W1975493223 @default.
- W2094052007 cites W1986148026 @default.
- W2094052007 cites W1987298989 @default.
- W2094052007 cites W1988466257 @default.
- W2094052007 cites W1992406906 @default.
- W2094052007 cites W1993147119 @default.
- W2094052007 cites W1995680910 @default.
- W2094052007 cites W1997353813 @default.
- W2094052007 cites W1999339970 @default.
- W2094052007 cites W2006294391 @default.
- W2094052007 cites W2006519376 @default.
- W2094052007 cites W2006654930 @default.
- W2094052007 cites W2006738554 @default.
- W2094052007 cites W2010737143 @default.
- W2094052007 cites W2013089288 @default.
- W2094052007 cites W2016163529 @default.
- W2094052007 cites W2016407890 @default.
- W2094052007 cites W2019535180 @default.
- W2094052007 cites W2021017911 @default.
- W2094052007 cites W2021440012 @default.
- W2094052007 cites W2024345155 @default.
- W2094052007 cites W2027938367 @default.
- W2094052007 cites W2032565026 @default.
- W2094052007 cites W2032797402 @default.
- W2094052007 cites W2034978623 @default.
- W2094052007 cites W2035612346 @default.
- W2094052007 cites W2036766789 @default.
- W2094052007 cites W2037242760 @default.
- W2094052007 cites W2037768897 @default.
- W2094052007 cites W2037935737 @default.
- W2094052007 cites W2040340624 @default.
- W2094052007 cites W2040400568 @default.
- W2094052007 cites W2040473570 @default.
- W2094052007 cites W2043063124 @default.
- W2094052007 cites W2047385567 @default.
- W2094052007 cites W2051619069 @default.
- W2094052007 cites W2054186641 @default.
- W2094052007 cites W2055408592 @default.
- W2094052007 cites W2055775449 @default.
- W2094052007 cites W2057042903 @default.
- W2094052007 cites W2059045187 @default.
- W2094052007 cites W2059716441 @default.
- W2094052007 cites W2059875937 @default.
- W2094052007 cites W2060071615 @default.
- W2094052007 cites W2060799481 @default.
- W2094052007 cites W2061000251 @default.
- W2094052007 cites W2064022988 @default.
- W2094052007 cites W2065737793 @default.
- W2094052007 cites W2066673292 @default.
- W2094052007 cites W2072446124 @default.
- W2094052007 cites W2072824837 @default.
- W2094052007 cites W2075473167 @default.
- W2094052007 cites W2075980613 @default.
- W2094052007 cites W2076642466 @default.
- W2094052007 cites W2084823114 @default.
- W2094052007 cites W2086548627 @default.
- W2094052007 cites W2087118032 @default.
- W2094052007 cites W2089160792 @default.
- W2094052007 cites W2089181605 @default.
- W2094052007 cites W2090004722 @default.
- W2094052007 cites W2091596086 @default.
- W2094052007 cites W2094541061 @default.
- W2094052007 cites W2095062463 @default.
- W2094052007 cites W2102118750 @default.
- W2094052007 cites W2111408625 @default.
- W2094052007 cites W2124823967 @default.
- W2094052007 cites W2126382229 @default.
- W2094052007 cites W2134439614 @default.
- W2094052007 cites W2134917963 @default.
- W2094052007 cites W2135273380 @default.
- W2094052007 cites W2135555721 @default.
- W2094052007 cites W2136550175 @default.
- W2094052007 cites W2137748572 @default.
- W2094052007 cites W2137777233 @default.
- W2094052007 cites W2141562470 @default.
- W2094052007 cites W2159478153 @default.
- W2094052007 cites W2174568001 @default.
- W2094052007 cites W2230547431 @default.
- W2094052007 cites W2235968111 @default.
- W2094052007 cites W2242496204 @default.
- W2094052007 cites W2337031825 @default.
- W2094052007 cites W2482290685 @default.
- W2094052007 cites W2594198417 @default.
- W2094052007 cites W2600355846 @default.
- W2094052007 cites W2949110438 @default.
- W2094052007 cites W3021249947 @default.