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Numerical-Diagonalization Study of Spin Gap Issue of the Kagome Lattice Heisenberg Antiferromagnet

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arxiv 1103.5829 v1 pith:G373LLJA submitted 2011-03-30 cond-mat.mtrl-sci cond-mat.stat-mechcond-mat.str-el

Numerical-Diagonalization Study of Spin Gap Issue of the Kagome Lattice Heisenberg Antiferromagnet

classification cond-mat.mtrl-sci cond-mat.stat-mechcond-mat.str-el
keywords sitesantiferromagnetheisenbergsystemanalyzedcarefulclarifiescluster
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the system size dependence of the singlet-triplet excitation gap in the $S=1/2$ kagome-lattice Heisenberg antiferromagnet by numerical diagonalization. We successfully obtain a new result of a cluster of 42 sites. The two sequences of gaps of systems with even-number sites and that with odd-number sites are separately analyzed. Careful examination clarifies that there is no contradiction when we consider the system to be gapless.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Preparing thermal states of frustrated quantum spin systems using 139 qubits

    quant-ph 2026-05 unverdicted novelty 6.0

    Dissipative preparation of thermal states for kagome antiferromagnets demonstrated on IBM hardware up to 79 spins, with simulations showing scalable circuit depths.

  2. Preparing thermal states of frustrated quantum spin systems using 139 qubits

    quant-ph 2026-05 unverdicted novelty 5.0

    Dissipative protocols on quantum hardware prepare approximate thermal states for kagome AFIM up to 79 sites and AFHM via simulation, with circuit depth independent of size and linear in inverse temperature.