Pith Number

pith:4S6K4JHA

pith:2026:4S6K4JHAHTAQPRHZFADK674JP7

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Probing the Chirality of Trigonal Selenium and Tellurium by Spin and Orbital Hall Effects

Heng Gao, Wei Ren, YingJie Hu, Yuting Xiong

Trigonal selenium and tellurium exhibit opposite signs in specific spin and orbital Hall conductivity components between left- and right-handed enantiomers due to mirror symmetry.

arxiv:2605.14506 v1 · 2026-05-14 · cond-mat.mtrl-sci

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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Claims

C1strongest claim

trigonal selenium and tellurium exhibit opposite signs of the SHC/OHC tensor elements σ_yx^{S_y} and σ_yx^{L_y} between their left- and right-handed enantiomers. This behavior originates from the mirror operation relating the two structures, described by space groups P3_221 (left-handed) and P3_121 (right-handed).

C2weakest assumption

The first-principles calculations accurately capture the antisymmetric transformation of the spin/orbital Berry curvature under the M_xy mirror operation without significant errors from exchange-correlation approximations or numerical convergence.

C3one line summary

Left- and right-handed trigonal Se and Te enantiomers exhibit opposite signs in the σ_yx^{S_y} and σ_yx^{L_y} components of spin and orbital Hall conductivities due to mirror symmetry between their space groups.

References

65 extracted · 65 resolved · 0 Pith anchors

[1] G. Rikken and N. Avarvari, Comparing electrical mag- netochiral anisotropy and chirality-induced spin selectiv- ity, The Journal of Physical Chemistry Letters14, 9727 (2023) 2023

[2] J. S. Siegel, Homochiral imperative of molecular evo- lution, Chirality: The Pharmacological, Biological, and Chemical Consequences of Molecular Asymmetry10, 24 (1998) 1998

[3] W. T. B. Kelvin,The molecular tactics of a crystal (Clarendon Press, Oxford, 1894)

[4] W. Thomson and B. Kelvin,Baltimore lectures on molec- ular dynamics and the wave theory of light(Cambridge University Press, Cambridge, 2010) 2010

[5] G. H. Fecher, J. K¨ ubler, and C. Felser, Chirality in the solid state: Chiral crystal structures in chiral and achiral space groups, Materials15, 5812 (2022) 2022

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:06.252987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4bcae24e03cc107c4f92806af7f897fd905f0c52a8b52f7c4adb9a32b66e233

Aliases

arxiv: 2605.14506 · arxiv_version: 2605.14506v1 · doi: 10.48550/arxiv.2605.14506 · pith_short_12: 4S6K4JHAHTAQ · pith_short_16: 4S6K4JHAHTAQPRHZ · pith_short_8: 4S6K4JHA

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4S6K4JHAHTAQPRHZFADK674JP7 \
  | 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: e4bcae24e03cc107c4f92806af7f897fd905f0c52a8b52f7c4adb9a32b66e233

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38bf9172eb8fa3c8a74bc3349da4fe9f1a754dcce52d3b030019c7c4d6d0826b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2026-05-14T07:48:42Z",
    "title_canon_sha256": "eaf3dfdc9b234706cf63d1ce11d7815d8ad6bf47e46e68e021404d672658aa6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14506",
    "kind": "arxiv",
    "version": 1
  }
}