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• W2038262483 endingPage "P11002" @default.
• W2038262483 startingPage "P11002" @default.
• W2038262483 abstract "We review recently introduced numerical methods for the unbiased detection of the order parameter and/or dominant correlations, in many-body interacting systems, by using reduced density matrices. Most of the paper is devoted to the quasi-degenerate density matrix (QDDM) which is rooted in Anderson's observation that the degenerate symmetry-broken states valid in the thermodynamic limit, are manifested in finite systems as a set of low-energy quasi-degenerate states (in addition to the ground state). This method, its original form due to Furukawa et al.[Phys. Rev. Lett. 96, 047211 (2006)], is given a number of improvements here, above all the extension from two-fold symmetry breaking to arbitrary cases. This is applied to two test cases (1) interacting spinless hardcore bosons on the triangular lattice and (2) a spin-1/2 antiferromagnetic system at the percolation threshold. In addition, we survey a different method called the correlation density matrix, which detects (possibly long-range) correlations only from the ground state, but using the reduced density matrix from a cluster consisting of two spatially separated regions." @default.
• W2038262483 created "2016-06-24" @default.
• W2038262483 creator A5045249779 @default.
• W2038262483 creator A5090744759 @default.
• W2038262483 date "2014-11-06" @default.
• W2038262483 modified "2023-10-14" @default.
• W2038262483 title "Density-matrix based numerical methods for discovering order and correlations in interacting systems" @default.
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• W2038262483 doi "https://doi.org/10.1088/1742-5468/2014/11/p11002" @default.
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