Spin Excitations in the Square-Lattice Heisenberg Model with Ring-Exchange Interactions

Misumi, Kazuma; Seki, Koh‐ichi; Ohta, Y.

doi:10.7566/jpscp.3.014021

Proceedings of the International Conference on Strongly Correlated Electron Systems (SCES2013) 2014

DOI: 10.7566/jpscp.3.014021

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Spin Excitations in the Square-Lattice Heisenberg Model with Ring-Exchange Interactions

Kazuma Misumi

Koh‐ichi Seki²,

Y. Ohta³

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Cited by 3 publications

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“…It remains to be seen whether realistic Hamiltonians for exchange correlations between J eff = 1 2 moments at high pressure can stabilize a quantum paramagnetic phase. In particular, the role of J r in Sr-214 needs to be experimentally and theoretically clarified as such exchange may also lead to quantum criticality [71,72]. Measuring the spectrum of magnetic excitations of Sr-214 at high pressure remains critical; not only to determine changes in the exchange constants, but also to verify if the isotropic Heisenberg model remains a valid approximation.…”

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Possible Quantum Paramagnetism in Compressed Sr2IrO4

et al. 2020

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The effect of compression on the magnetic ground state of Sr2IrO4 is studied with x-ray resonant techniques in the diamond anvil cell. The weak interlayer exchange coupling between square-planar 2D IrO2 layers is readily modified upon compression, with a crossover between magnetic structures around 7 GPa mimicking the effect of an applied magnetic field at ambient pressure. Higher pressures drive an order-disorder magnetic phase transition with no magnetic order detected above 17-20 GPa. The persistence of strong exchange interactions between J eff = 1/2 magnetic moments within the insulating IrO2 layers up to at least 35 GPa points to a highly frustrated magnetic state in compressed Sr2IrO4 opening the door for realization of novel quantum paramagnetic phases driven by extended 5d orbitals with entangled spin and orbital degrees of freedom. arXiv:1911.09786v2 [cond-mat.str-el]

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Possible Quantum Paramagnetism in Compressed Sr2IrO4

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Magnetic superexchange couplings in Sr2IrO4

Zhang

Pavarini

2021

Phys. Rev. B

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Exact diagonalization study of the Hubbard-parametrized four-spin ring exchange model on a square lattice

et al. 2019

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We have used exact numerical diagonalization to study the excitation spectrum and the dynamic spin correlations in the s = 1/2 next-next-nearest neighbor Heisenberg antiferromagnet on the square lattice, with additional 4-spin ring exchange from higher order terms in the Hubbard expansion. We have varied the ratio between Hubbard model parameters, t/U , to obtain different relative strengths of the exchange parameters, while keeping electrons localized. The Hubbard model parameters have been parametrized via an effective ring exchange coupling, Jr, which have been varied between 0 J and 1.5 J. We find that ring exchange induces a quantum phase transition from the (π, π) ordered Neèl state to a (π/2, π/2) ordered state. This quantum critical point is reduced by quantum fluctuations from its mean field value of Jr/J = 2 to a value of ∼ 1.1. At the quantum critical point, the dynamical correlation function shows a pseudo-continuum at q-values between the two competing ordering vectors. arXiv:1812.04277v1 [cond-mat.str-el] 11 Dec 2018 A a b d c e f B i j k l J J J J r

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Spin Excitations in the Square-Lattice Heisenberg Model with Ring-Exchange Interactions

Cited by 3 publications

References 14 publications

Possible Quantum Paramagnetism in Compressed Sr2IrO4

Possible Quantum Paramagnetism in Compressed Sr2IrO4

Magnetic superexchange couplings in Sr2IrO4

Exact diagonalization study of the Hubbard-parametrized four-spin ring exchange model on a square lattice

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