One-dimensional lattice model with an exact matrix-product ground state describing the Laughlin wave function
نویسندگان
چکیده
منابع مشابه
Laughlin wave function and one-dimensional free fermions.
Making use of the well-known phase space reduction in the lowest Landau level(LLL), we show that the Laughlin wave function for the ν = 1 m case can be obtained exactly as a coherent state representation of an one dimensional (1D) wave function. The 1D system consists of m copies of free fermions associated with each of the N electrons, confined in a common harmonic well potential. Interestingl...
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The correlation functions of two-dimensional anyon fields in a KMS-state are studied. The n-particle wave functions of noncanonical fermions of level ν, ν odd, are shown to be of Laughlin type of order ν. For the first noncanonical Fermi class (ν=3) this is simply the finite-temperature generalization of Laughlin wave function. This relates the first and second quantized pictures of the fractio...
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The decomposition of the Laughlin wave function in the Slater orthogonal basis appears in the discussion on the second-quantized form of the Laughlin states and is straightforwardly equivalent to the decomposition of the even powers of the Vandermonde determinants in the Schur basis. Such a computation is notoriously difficult and the coefficients of the expansion have not yet been interpreted....
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2013
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.87.245119