# Possible Inversion Symmetry Breaking in the S=1/2 Pyrochlore Heisenberg Magnet.

@article{Hagymsi2020PossibleIS,
title={Possible Inversion Symmetry Breaking in the S=1/2 Pyrochlore Heisenberg Magnet.},
author={Imre Hagym{\'a}si and Robin Sch{\"a}fer and Roderich Moessner and David J. Luitz},
journal={Physical review letters},
year={2020},
volume={126 11},
pages={
117204
}
}
• Published 7 October 2020
• Physics
• Physical review letters
We address the ground-state properties of the long-standing and much-studied three-dimensional quantum spin liquid candidate, the S=1/2 pyrochlore Heisenberg antiferromagnet. By using SU(2) density-matrix renormalization group (DMRG), we are able to access cluster sizes of up to 128 spins. Our most striking finding is a robust spontaneous inversion symmetry breaking, reflected in an energy density difference between the two sublattices of tetrahedra, familiar as a starting point of earlier…

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## References

SHOWING 1-10 OF 62 REFERENCES

• Physics
Physical Review B
• 2019
We examine the perennial quantum spin-liquid candidate $S=1/2$ Heisenberg antiferromagnet on the kagome lattice. Our study is based on achieving Lanczos diagonalization of the Hamiltonian on a $48$
• Physics
• 2018
We present exact diagonalisation calculations for the spin-1/2 nearest neighbour antiferromagnet on the pyrochlore lattice. We study a section of the lattice in the $[111]$ direction and analyse the
• Physics
• 2006
We study a large-$N$ deformation of the $S=1∕2$ pyrochlore Heisenberg antiferromagnet which leads to a soluble quantum dimer model at leading nontrivial order. In this limit, the ground state
• Physics
• 2009
The ground state of a spin-$\frac{1}{2}$ nearest-neighbor quantum Heisenberg antiferromagnet on the pyrochlore lattice is investigated using a large $N$ $\text{SU}(N)$ fermionic mean-field theory. We
• Physics
Physical Review B
• 2019
We use the rotation-invariant Green's function method (RGM) and the high-temperature expansion (HTE) to study the thermodynamic properties of the Heisenberg antiferromagnet on the pyrochlore lattice.
Stability bounds are obtained on the QSL state in the minimal model for these systems: a random transverse field Ising model and it is found that the available data are most consistent with it a ground state outside the spin liquid regime, in a paramagnetic phase with quadrupole moments near saturation due to the influence of structural disorder.
• Physics
• 2020
We use a combination of three computational methods to investigate the notoriously difficult frustrated three-dimensional pyrochlore $S=\frac{1}{2}$ quantum antiferromagnet, at finite temperature
• Physics
Science
• 2011
This work uses the density matrix renormalization group to perform accurate calculations of the ground state of the nearest-neighbor quantum spin S = 1/2 Heisenberg antiferromagnet on the kagome lattice and provides strong evidence that, for the infinite two-dimensional system, the groundState of this model is a fully gapped spin liquid.
• Physics
Physical Review X
• 2019
We investigate the quantum Heisenberg model on the pyrochlore lattice for a generic spin-$S$ in the presence of nearest-neighbor $J_{1}$ and second-nearest-neighbor $J_{2}$ exchange interactions. By
The ground state of an S=½ quantum antiferromagnet on a pyrochlore lattice is investigated based on an effective low-energy Hamiltonian in the spin-singlet sector. In the level of the mean-field