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
        }
}
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

S=12 kagome Heisenberg antiferromagnet revisited

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 $48$

Spin- 1 2 Heisenberg antiferromagnet on the pyrochlore lattice: An exact diagonalization study

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

Quantum dimer models and effective Hamiltonians on the pyrochlore lattice

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

Monopole flux state on the pyrochlore lattice

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

Thermodynamics of the pyrochlore-lattice quantum Heisenberg antiferromagnet

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.

Instabilities of a U(1) Quantum Spin Liquid in Disordered Non-Kramers Pyrochlores.

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.

Pyrochlore S = 1 2 Heisenberg antiferromagnet at finite temperature

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

Spin-Liquid Ground State of the S = 1/2 Kagome Heisenberg Antiferromagnet

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.

Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions

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

Spin-singlet order in a pyrochlore antiferromagnet

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
...