Hidden Orders and RVB Formation of the Four-Leg Heisenberg Ladder Model
Yoshihiro Nishiyama (Department of Physics, University of Tokyo),, Naomichi Hatano (Department of Physics, University of Tokyo, Lyman, Laboratory of Physics, Harvard University), Masuo Suzuki (Department of, Physics, University of Tokyo)
TL;DR
This study numerically investigates the ground state of the four-leg Heisenberg ladder, revealing hidden order correlations and short-range RVB states, and discusses phase transitions between ferromagnetic and antiferromagnetic couplings.
Contribution
It introduces and calculates hidden-order correlations specific to the four-leg Heisenberg ladder, demonstrating RVB formation and phase transition behavior.
Findings
Long-range hidden correlations indicate RVB state formation.
Existence of a phase transition between ferromagnetic and antiferromagnetic couplings.
Numerical evidence supports short-range RVB states at the isotropic point.
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.
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