Equivalence of the antiferromagnetic Heisenberg ladder to a singleS=1 chain
- 1 January 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 53 (1) , 52-55
- https://doi.org/10.1103/physrevb.53.52
Abstract
I introduce two continuous transformations between the S=1 Heisenberg chain and the antiferromagnetic S=1/2 Heisenberg ladder. Both transformations couple diagonally situated next-nearest-neighbor S=1/2’s to form each S=1. Using the density matrix renormalization group, I demonstrate that the two systems are in the same phase. Furthermore, I find that the hidden topological long-range order characterizing the S=1 system is even stronger in the isotropic two-chain system. © 1996 The American Physical Society.Keywords
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This publication has 22 references indexed in Scilit:
- Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma modelPublished by Elsevier ,2002
- Superconductivity, Spin Gaps and Luttinger Liquids in a Class of CupratesEurophysics Letters, 1993
- Numerical renormalization-group study of low-lying eigenstates of the antiferromagneticS=1 Heisenberg chainPhysical Review B, 1993
- Excitation spectrum of Heisenberg spin laddersPhysical Review B, 1993
- Competition between singlet formation and magnetic ordering in one-dimensional spin systemsPhysical Review Letters, 1992
- Superconductivity in ladders and coupled planesPhysical Review B, 1992
- Crossover between the Haldane-gap phase and the dimer phase in the spin-1/2 alternating Heisenberg chainPhysical Review B, 1992
- Quantum spin chains and the Haldane gapJournal of Physics: Condensed Matter, 1989
- Preroughening Transitions in SurfacesPhysical Review Letters, 1987
- Rigorous results on valence-bond ground states in antiferromagnetsPhysical Review Letters, 1987