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Summary
This summary is machine-generated.

We investigated the S=1/2 pyrochlore Heisenberg antiferromagnet, a quantum spin liquid candidate. Our study reveals spontaneous symmetry breaking and determines the ground-state energy, suggesting a transition to a broken-symmetry state at low temperatures.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Magnetism

Background:

  • The S=1/2 pyrochlore Heisenberg antiferromagnet is a prominent candidate for realizing three-dimensional quantum spin liquid states.
  • Understanding its ground-state properties is crucial for advancing the field of frustrated magnetism.

Purpose of the Study:

  • To investigate the ground-state properties of the S=1/2 pyrochlore Heisenberg antiferromagnet.
  • To determine if symmetry-breaking occurs in the ground state and to calculate the ground-state energy.

Main Methods:

  • Utilized the SU(2) density-matrix renormalization group (DMRG) method.
  • Applied numerical linked cluster expansion (NLCE) for complementary analysis.
  • Analyzed systems with up to 128 spins to ensure robust results.

Main Results:

  • Observed robust spontaneous inversion symmetry breaking in the ground state.
  • Quantified an energy density difference between tetrahedral sublattices.
  • Determined the ground-state energy per site to be E_{0}/N_{sites}=-0.490(6)J.

Conclusions:

  • The findings indicate a transition from a finite-temperature spin liquid regime to a symmetry-broken state at low temperatures.
  • The observed symmetry breaking aligns with starting points of earlier theoretical treatments.
  • This study provides key insights into the nature of quantum spin liquids in three dimensions.