Effective low-energy description of almost Ising-Heisenberg diamond chain

Abstract

We consider a geometrically frustrated spin-1/2 Ising-Heisenberg diamond chain, which is an exactly solvable model when assuming part of the exchange interactions as Heisenberg ones and another part as Ising ones. A small $XY$ part is afterwards perturbatively added to the Ising couplings, which enabled us to derive an effective Hamiltonian describing the low-energy behavior of the modified but full quantum version of the initial model. The effective model is much simpler and free of frustration. It is shown that the $XY$ part added to the originally Ising interaction gives rise to the spin-liquid phase with continuously varying magnetization, which emerges in between the magnetization plateaus and is totally absent in the initial hybrid diamond-chain model. The elaborated approach can also be applied to other hybrid Ising-Heisenberg spin systems.

6 pages, 4 figures

References in corpus (6)

• The ALPS project release 1.3: open source software for strongly correlated systems
• Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons
• Geometric frustration in the class of exactly solvable Ising-Heisenberg diamond chains
• Dysprosium-based experimental representatives of an Ising-Heisenberg chain and a decorated Ising ring
• Exact results for a generalized spin-1/2 Ising-Heisenberg diamond chain with the second-neighbor interaction between nodal spins
• On the Theory of Generalized Algebraic Transformations

Cited by in corpus (7)

• Correlation functions for a spin-$\frac{1}{2}$ Ising-XYZ diamond chain: Further evidence for quasi-phases and pseudo-transitions
• Fractional magnetization plateaux of the spin-1/2 Heisenberg orthogonal-dimer chain revisited: strong-coupling approach developed from the exactly solved Ising-Heisenberg model
• Modified strong-coupling treatment of a spin-1/2 Heisenberg trimerized chain developed from the exactly solved Ising-Heisenberg diamond chain
• Residual entropy of the dilute Ising chain in a magnetic field
• Frustrated quantum Heisenberg double-tetrahedral and octahedral chains at high magnetic fields
• Quantum decoration transformation for spin models
• Spin-1/2 Ising-Heisenberg distorted diamond chain with antiferromagnetic Ising and ferromagnetic Heisenberg interactions