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arXiv:cond-mat/9910455 · The European Physical Journal B

Long-range spin-pairing order and spin defects in quantum spin- ladders

M. A. García‐Bach

Published Mar 1, 2000• 7 citations
arXivHTMLPDF
DOI
10.1007/pl00011053

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How the ground-state nature can be dramatically changed by the distinct underlying spin correlation is a central issue of doped Mott insulators.The two-leg XXZ ladder provides a prototypical spin background, which can be tuned from a long-range Néel order to a short-range spin liquid via the superexchange anisotropy, giving rise to a complex phase diagram at finite doping.By density matrix renormalization group method, we show that although the charge is always self-localized in the Néel ordered phase, a second insulating phase emerges in which the doped holes become paired but remain localized while the transverse spin-spin correlation reduces to short-ranged one to make the Néel order classical.Only when the Néel order totally disappears by further reducing anisotropy does the pairing become truly coherent as characterized by a Luther-Emery state.In sharp contrast, the pairing is totally absent in the in-plane ferromagnetic XXZ regime, where a direct transition from the charge self-localization in the Néel ordered phase to a Fermi-gas-like state in the spin liquid phase is found.A consistent physical picture is briefly discussed.

arXiv:2002.03529•Physical Review Research•Jul 1, 2020•3 citations
\n For w-legged antiferromagnetic spin-1/2 Heisenberg\nladders, a long-range spin pairing order can be identified which\nenables the separation of the space spanned by finite-range\n(covalent) valence-bond configurations into w+1 subspaces.\nSince every subspace has an equivalent counter subspace connected by\ntranslational symmetry, twofold degeneracy, breaking translational\nsymmetry is found except for the subspace where the ground state of\nw = even belongs to.\nIn terms of energy ordering, (non)degeneracy and the discontinuities\nintroduced in the long-range spin pairing order by topological spin\ndefects, the differences between even and odd ladders are explained\nin a general and systematic way. \n\n
To make the transition from the quasi-long-range order in a chain of antiferromagnetically coupled S = 1/2 spins to the true long-range order that occurs in a plane, one can assemble chains to make ladders of increasing width. Surprisingly, this crossover between one and two dimensions is not at all smooth. Ladders with an even number of legs have purely short-range magnetic order and a finite energy gap to all magnetic excitations. Predictions of this ground state have now been verified experimentally. Holes doped into these ladders are predicted to pair and possibly superconduct.
How the ground-state nature can be dramatically changed by the distinct underlying spin correlation is a central issue of doped Mott insulators.The two-leg XXZ ladder provides a prototypical spin background, which can be tuned from a long-range Néel order to a short-range spin liquid via the superexchange anisotropy, giving rise to a complex phase diagram at finite doping.By density matrix renormalization group method, we show that although the charge is always self-localized in the Néel ordered phase, a second insulating phase emerges in which the doped holes become paired but remain localized while the transverse spin-spin correlation reduces to short-ranged one to make the Néel order classical.Only when the Néel order totally disappears by further reducing anisotropy does the pairing become truly coherent as characterized by a Luther-Emery state.In sharp contrast, the pairing is totally absent in the in-plane ferromagnetic XXZ regime, where a direct transition from the charge self-localization in the Néel ordered phase to a Fermi-gas-like state in the spin liquid phase is found.A consistent physical picture is briefly discussed.