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pith:2026:BCBFKG2VJCUXTD2BYRKNN67IBV
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Specific heat and susceptibility of S=1/2 antiferromagnets on square, triangular, and kagome lattices

Chisa Hotta

Kagome antiferromagnets have low-energy excitations below ~0.5J governed by magnetic states, unlike the triangular lattice.

arxiv:2605.17420 v1 · 2026-05-17 · cond-mat.str-el

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Claims

C1strongest claim

Although both frustrated systems retain a substantial amount of entropy, the low-energy excitations below ~0.5J of the kagome lattice are predominantly governed by the magnetic excited states, whereas not much for the triangular lattice.

C2weakest assumption

The quantum eigenstates of the SSD Hamiltonian exhibit bulk-like behavior near the system center, effectively mimicking the thermodynamic limit even in small finite-size calculations.

C3one line summary

SSD-based finite-size calculations show shoulder or double-peak specific heat in triangular and kagome antiferromagnets plus strong low-T susceptibility enhancement in kagome, indicating magnetic states dominate its excitations below 0.5J unlike the triangular case.

References

120 extracted · 120 resolved · 1 Pith anchors

[3] Waldtmann, C. and Everts, H.-U. and Bernu, B. and Lhuillier, C. and Sindzingre, P. and Lecheminant, P. and Pierre, L. , year =. First excitations of the spin 1/2 Heisenberg antiferromagnet on the kago · doi:10.1007/s100510050274
[10] Zhong, Ruidan and Guo, Shu and Xu, Guangyong and Xu, Zhijun and Cava, Robert J. , year =. Strong quantum fluctuations in a quantum spin liquid candidate with a Co-based triangular lattice , volume =. · doi:10.1073/pnas.1906483116
[26] Okabe, Y. and Kikuchi, M. , year =. MONTE CARLO STUDY OF QUANTUM SPIN SYSTEMS ON THE SQUARE LATTICE , volume =. Le Journal de Physique Colloques , publisher =. doi:10.1051/jphyscol:19888639 , number = · doi:10.1051/jphyscol:19888639
[28] Rushbrooks, G. R. and Baker, G. A. and Wood, P. J. , title =. 1974 , volume = 1974
[33] Sindzingre, P. and Misguich, G. and Lhuillier, C. and Bernu, B. and Pierre, L. and Waldtmann, Ch. and Everts, H.-U. , journal =. Magnetothermodynamics of the Spin-. 2000 , month =. doi:10.1103/PhysRev 2000 · doi:10.1103/physrevlett.84.2953

Formal links

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Receipt and verification
First computed 2026-05-20T00:03:57.550437Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0882551b5548a9798f41c454d6fbe80d71c84ac10ff37b4273c516c424795ebe

Aliases

arxiv: 2605.17420 · arxiv_version: 2605.17420v1 · doi: 10.48550/arxiv.2605.17420 · pith_short_12: BCBFKG2VJCUX · pith_short_16: BCBFKG2VJCUXTD2B · pith_short_8: BCBFKG2V
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curl -sH 'Accept: application/ld+json' https://pith.science/pith/BCBFKG2VJCUXTD2BYRKNN67IBV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0882551b5548a9798f41c454d6fbe80d71c84ac10ff37b4273c516c424795ebe
Canonical record JSON
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