# Pyrochlore S=12 Heisenberg antiferromagnet at finite temperature

@article{Schfer2020PyrochloreS, title={Pyrochlore S=12 Heisenberg antiferromagnet at finite temperature}, author={Robin Sch{\"a}fer and Imre Hagym'asi and Roderich Moessner and David J. Luitz}, journal={Physical Review B}, year={2020}, volume={102}, pages={054408} }

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 $T$: canonical typicality for a finite cluster of $2\ifmmode\times\else\texttimes\fi{}2\ifmmode\times\else\texttimes\fi{}2$ unit cells (i.e., 32 sites), a finite-$T$ matrix product state method on a larger cluster with 48 sites, and the numerical linked cluster expansion (NLCE) using clusters up to 25…

## 20 Citations

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

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- 2021

A robust spontaneous inversion symmetry breaking is found, reflected in an energy density difference between the two sublattices of tetrahedra, familiar as a starting point of earlier perturbative treatments, and suggest a scenario in which a finite-temperature spin liquid regime gives way to a symmetry-broken state at low temperatures.

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- 2023

By means of high-temperature series expansions we study the singularities of the specific heat ($c_v$) and the magnetic susceptibility ($\chi$) of $S=1/2$ models presenting a phase transition…

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- 2023

We introduce a numerical linked cluster expansion for square-lattice models whose building block is an L-shape cluster. This expansion exhibits a similar or better convergence of the bare sums than…

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We investigate the ground-state properties of the nearest-neighbor S = 1 pyrochlore Heisenberg antiferromagnet using two complementary numerical methods, density-matrix renormalization group (DMRG)…

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- PhysicsPhysical Review B
- 2022

We study the ground state and thermodynamic properties of the spin-half XXZ model, with an Ising interaction J z and a transverse exchange interaction J x , on a pyrochlore tube obtained by joining…

### Thermodynamics of the spin-half square kagome lattice antiferromagnet

- PhysicsPhysical Review B
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Over the last decade, the interest in the spin-1 / 2 Heisenberg antiferromagnet (HAF) on the square-kagome (also called shuriken) lattice has been growing as a model system of quantum magnetism with…

### Quantum skyrmion lattices in Heisenberg ferromagnets

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Skyrmions are topological magnetic textures that can arise in non-centrosymmetric ferromagnetic materials. In most systems experimentally investigated to date, skyrmions emerge as classical objects.…

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