Pith Number

pith:EE2GEAB6

pith:2026:EE2GEAB67IDQTVIZU5E4GPLY5K

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Finite-frequency anomaly-induced electromechanical response of Dirac fermions in deformed graphene

Ara Sedrakyan

Mechanical deformations in graphene generate transverse electric currents via the parity-odd response of massive Dirac cones.

arxiv:2605.17632 v1 · 2026-05-17 · cond-mat.str-el · cond-mat.dis-nn · cond-mat.mes-hall

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Claims

C1strongest claim

We show that the coefficient of this mixed electromechanical response is the parity-odd current-current correlator of a massive Dirac cone. For an insulating cone the coefficient is the one-cone Chern-Simons value, while for a doped cone in the local regime it is reduced by the Berry curvature factor m/|μ|.

C2weakest assumption

The low-energy Dirac theory remains valid and the deformation-induced geometric vertices can be represented as an emergent phonon gauge field A_μ that couples to the Dirac current identically to the electromagnetic vector potential.

C3one line summary

The coefficient of the anomaly-induced electromechanical response in deformed graphene equals the parity-odd current-current correlator of a massive Dirac cone, taking the one-cone Chern-Simons value for insulators and reduced by the Berry curvature factor m/|μ| for doped cones in the local regime.

References

44 extracted · 44 resolved · 0 Pith anchors

[1] Thus the effect is strongest for fast, short-wavelength rip- ples while remaining within the small-slope regime

[2] Dy- namics of Dirac and Weyl fermions on a two-dimensional surface, 1986

[3] Dirac and Weyl fermions coupled to two-dimensional surfaces: Determinants, 1987

[4] Optical con- ductivity of graphene in the presence of random lattice deformations, 2011

[5] Deformation of a graphene sheet: Interaction of fermions with phonons, 2021

Formal links

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Receipt and verification

First computed	2026-05-20T00:04:49.575624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

213462003efa0709d519a749c33d78eabedd35563b469fc79cdc0ca75986fe7d

Aliases

arxiv: 2605.17632 · arxiv_version: 2605.17632v1 · doi: 10.48550/arxiv.2605.17632 · pith_short_12: EE2GEAB67IDQ · pith_short_16: EE2GEAB67IDQTVIZ · pith_short_8: EE2GEAB6

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/EE2GEAB67IDQTVIZU5E4GPLY5K \
  | 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: 213462003efa0709d519a749c33d78eabedd35563b469fc79cdc0ca75986fe7d

Canonical record JSON

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    "abstract_canon_sha256": "1cecfdc4eedc036cd7e4316f247011404188543ba86e055bc0cb0e65f70fc92f",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.mes-hall"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-05-17T19:52:10Z",
    "title_canon_sha256": "ce241ab253dd468a79074fab733048325861c2b345bb4bd39f2ae4a834c1a128"
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    "kind": "arxiv",
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