Chiral spin states in the pyrochlore Heisenberg magnet: Fermionic mean-field theory and variational Monte Carlo calculations

Abstract

Fermionic mean-field theory and variational Monte Carlo calculations are employed to shed light on the possible uniform ground states of the Heisenberg model on the pyrochlore lattice. Among the various flux configurations, we find the chiral spin states carrying \pm pi/2 flux through each triangular face to be the most stable both within the mean-field theory and the projected wave-function studies. Properties of the spin-spin correlation function and the chirality order parameter are calculated for the projected wave functions. Mean-field band structures are examined.

4 pages, 3 figures, minor text revisions, references added

References in corpus (6)

• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Pyrochlore Antiferromagnet: A Three-Dimensional Quantum Spin Liquid
• Properties of an algebraic spin liquid on the kagome lattice
• Singlet Excitations in Pyrochlore: A Study of Quantum Frustration
• Antiferromagnetic Quantum Spins on the Pyrochlore Lattice
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Cited by in corpus (28)

• Quantum Spin Liquids
• Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions
• Experimental Realization of a Quantum Breathing Pyrochlore Antiferromagnet
• Possible inversion symmetry breaking in the $S=1/2$ pyrochlore Heisenberg magnet
• Signatures of a gearwheel quantum spin liquid in a spin-$\frac{1}{2}$ pyrochlore molybdate Heisenberg antiferromagnet
• Multiloop functional renormalization group approach to quantum spin systems
• Monopole Flux State on the Pyrochlore Lattice
• Quantum spin ice with frustrated transverse exchange: from pi-flux phase to nematic quantum spin liquid
• Flat bands and Dirac cones in breathing lattices
• Low-Energy Excitations and Ground State Selection in Quantum Breathing Pyrochlore Antiferromagnet Ba${}_3$Yb${}_2$Zn${}_5$O${}_{11}$
• Dimerization tendencies of the pyrochlore Heisenberg antiferromagnet: A functional renormalization group perspective
• Competing quantum paramagnetic ground states of the Heisenberg antiferromagnet on the star lattice
• Adapting Planck's route to investigate the thermodynamics of the spin-half pyrochlore Heisenberg antiferromagnet
• Thermodynamics of the pyrochlore-lattice quantum Heisenberg antiferromagnet
• Symmetry fractionalization in the gauge mean-field theory of quantum spin ice
• Projective symmetry group classification of chiral ${\mathbb{Z}}_2$ spin liquids on the pyrochlore lattice: application to the spin-$1/2$ XXZ Heisenberg model
• Abundance of hard-hexagon crystals in the quantum pyrochlore antiferromagnet
• The spin-1/2 Heisenberg antiferromagnet on the pyrochlore lattice: An exact diagonalisation study
• Enhanced symmetry-breaking tendencies in the $S=1$ pyrochlore antiferromagnet
• Symmetry breaking via Kondo hybridization: Chiral nematic metal in Pr2Ir2O7
• Magnetisation plateaux of the quantum pyrochlore Heisenberg antiferromagnet
• Structural and spin-glass properties of single crystal $J_{eff}$ = 1/2 pyrochlore antiferromagnet NaCdCo${}_2$F${}_7$ : correlating $T_f$ with magnetic-bond-disorder
• Magnetization process and ordering of the $S=1/2$ pyrochlore magnet in a field
• Broken-Symmetry Ground States of the Heisenberg model on the Pyrochlore Lattice
• Interplay of uniform U(1) quantum spin liquid and magnetic phases in rare earth pyrochlore magnets : a fermionic parton approach
• Phase diagram of the antiferromagnetic $J_1$-$J_2$ spin-$1$ pyrochlore Heisenberg model
• Classification and correlation signatures of chiral spin liquids on the pyrochlore lattice
• Bridging the Gap between Deep Learning and Frustrated Quantum Spin System for Extreme-scale Simulations on New Generation of Sunway Supercomputer