Hidden Orders and RVB Formation of the Four-Leg Heisenberg Ladder Model

Abstract

The ground state of the four-chain Heisenberg ladder model is numerically investigated. Hidden-order correlations suitable for the system are introduced and calculated with an emphasis on the spatially isotropic point, where a corresponding material exists. The existence of a long-range hidden correlation indicates formation of a short-range RVB state in the case of the antiferromagnetic inter-chain coupling. A transition between the phase of the ferromagnetic inter-chain coupling and that of the antiferromagnetic one is discussed.

9 pages, 16 Postscript figures

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• Characterizing Genuine Multisite Entanglement in Isotropic Spin Lattices
• Brane parity orders in the insulating state of Hubbard ladders
• Density Matrix Recursion Method: Genuine Multisite Entanglement Distinguishes Odd from Even Quantum Heisenberg Ladders
• The dimer-RVB State of the Four-Leg Heisenberg Ladder: Interference among Resonances