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Density matrices for finite segments of Heisenberg chains of arbitrary length | | Jens Damerau
; Frank Göhmann
; Nils P. Hasenclever
; Andreas Klümper
; | | Date: |
18 Jan 2007 | | Subject: | Statistical Mechanics; Strongly Correlated Electrons | | Abstract: | We derive a multiple integral representing the ground state density matrix of a segment of length $m$ of the XXZ spin chain on $L$ lattice sites, which depends on $L$ only parametrically. This allows us to treat chains of arbitrary finite length. Specializing to the isotropic limit of the XXX chain we show for small $m$ that the multiple integrals factorize. We conjecture that this property holds for arbitrary $m$ and suggest an exponential formula for the density matrix which involves only a double Cauchy type integral in the exponent. We demonstrate the efficiency of our formula by computing the next-to-nearest neighbour $zz$-correlation function for chain lengths ranging from two to macroscopic numbers. | | Source: | arXiv, cond-mat/0701463 | | Services: | Forum | Review | PDF | Favorites | |
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