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…
Figures and Tables from this paper
13 Citations
Broken-Symmetry Ground States of the Heisenberg Model on the Pyrochlore Lattice
- PhysicsPhysical Review X
- 2021
The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the model is debated…
Multiloop functional renormalization group approach to quantum spin systems
- PhysicsPhysical Review Research
- 2022
Renormalization group methods are well-established tools for the (numerical) investigation of the low-energy properties of correlated quantum many-body systems, allowing to capture their…
Quantitative functional renormalization for three-dimensional quantum Heisenberg models
- PhysicsSciPost Physics
- 2022
We employ a recently developed variant of the functional
renormalization group method for spin systems, the so-called pseudo
Majorana functional renormalization group, to investigate…
Dimerization tendencies of the pyrochlore Heisenberg antiferromagnet: A functional renormalization group perspective
- PhysicsPhysical Review B
- 2022
Max Hering, 2 Vincent Noculak, 2 Francesco Ferrari, Yasir Iqbal, and Johannes Reuther 2 Helmholtz-Zentrum Berlin für Materialien und Energie, Hahn-Meitner Platz 1, 14109 Berlin, Germany Dahlem Center…
Competing quantum spin liquids, gauge fluctuations, and anisotropic interactions in a breathing pyrochlore lattice
- PhysicsPhysical Review B
- 2022
We use the projective symmetry group analysis to classify the quantum spin liquids on the 𝑆 = 1 / 2 pyrochlore magnet with a breathing anisotropy. We find 40 Z 2 spin liquids and 16 𝑈 ( 1 ) spin…
Enhanced symmetry-breaking tendencies in the $S=1$ pyrochlore antiferromagnet
- Physics
- 2022
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)…
Order, disorder, and monopole confinement in the spin- 12 XXZ model on a pyrochlore tube
- 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…
Observation of competing, correlated ground states in the flat band of rhombohedral graphite.
- PhysicsScience advances
- 2022
In crystalline solids, the interactions of charge and spin can result in a variety of emergent quantum ground states, especially in partially filled, topological flat bands such as Landau levels or…
Quantum skyrmion lattices in Heisenberg ferromagnets
- PhysicsPhysical Review Research
- 2022
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.…
References
SHOWING 1-10 OF 62 REFERENCES
S=12 kagome Heisenberg antiferromagnet revisited
- PhysicsPhysical 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 $48$…
Spin- 1 2 Heisenberg antiferromagnet on the pyrochlore lattice: An exact diagonalization study
- 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…
Quantum dimer models and effective Hamiltonians on the pyrochlore lattice
- 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…
Monopole flux state on the pyrochlore lattice
- 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…
Thermodynamics of the pyrochlore-lattice quantum Heisenberg antiferromagnet
- PhysicsPhysical 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.…
Instabilities of a U(1) Quantum Spin Liquid in Disordered Non-Kramers Pyrochlores.
- PhysicsPhysical review letters
- 2018
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
- 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…
Spin-Liquid Ground State of the S = 1/2 Kagome Heisenberg Antiferromagnet
- PhysicsScience
- 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.
Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions
- PhysicsPhysical 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…
Spin-singlet order in a pyrochlore antiferromagnet
- Physics
- 2001
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…