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pith:UNBRWQ6L

pith:2026:UNBRWQ6LWXYMUE2BB6F6KYKGLO
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The high K anomaly in ScAlN explained

Ilan Shalish

The high dielectric constant measured in ScAlN arises from electromechanical inflation, in which internal electric fields drive lattice strain through the inverse piezoelectric effect.

arxiv:2605.03765 v2 · 2026-05-05 · cond-mat.mtrl-sci

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Claims

C1strongest claim

We demonstrate that this 'high K' behavior is a manifestation of electromechanical inflation, where the enormous internal electric fields of polar heterostructures induce macroscopic lattice strain via the inverse piezoelectric effect. By applying stress-free mechanical boundary conditions to the coupled equations of state, we derive an analytical relation for the effective permittivity: epsilon_eff=epsilon_33^S + e_33^2/C_33. This model quantitatively accounts for experimental observations across the ScAlN alloy range.

C2weakest assumption

That the mechanical boundary conditions in the experimental samples are truly stress-free, allowing the full inverse-piezoelectric strain to develop without external constraints, and that the internal electric fields in the heterostructures match the assumptions used to derive the effective permittivity formula.

C3one line summary

The high-K anomaly in ScAlN is explained by electromechanical inflation, with effective permittivity given by epsilon_eff = epsilon_33^S + e_33^2 / C_33 under stress-free boundary conditions.

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First computed 2026-06-09T02:07:28.197623Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a3431b43cbb5f0ca13410f8be561465b9bb0cf4234ef67d2c0863300c6043661

Aliases

arxiv: 2605.03765 · arxiv_version: 2605.03765v2 · doi: 10.48550/arxiv.2605.03765 · pith_short_12: UNBRWQ6LWXYM · pith_short_16: UNBRWQ6LWXYMUE2B · pith_short_8: UNBRWQ6L
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curl -sH 'Accept: application/ld+json' https://pith.science/pith/UNBRWQ6LWXYMUE2BB6F6KYKGLO \
  | 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())"
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Canonical record JSON
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    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2026-05-05T13:54:08Z",
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