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pith:3M53OGF2

pith:2026:3M53OGF22QPDPNZDPAHQGONKTA

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Quantized Transport in Floquet Topological Insulators

Abhishek Dhar, Manas Kulkarni, Rekha Kumari

Floquet topological systems show quantized longitudinal and Hall conductances set by the winding invariant once all sideband contributions are summed.

arxiv:2605.13066 v1 · 2026-05-13 · cond-mat.mes-hall · cond-mat.stat-mech · quant-ph

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Claims

C1strongest claim

Using the Floquet nonequilibrium Green's-function (NEGF) formalism we show, from exact numerics for a strip geometry, that the two-terminal (longitudinal) conductance is quantized as |W_ε| e²/h, while the Hall (transverse) conductance is quantized as W_ε e²/h, where W_ε is the Floquet winding invariant associated with the quasienergy gap at ε = 0 or ε = Ω/2.

C2weakest assumption

Quantization holds only after summing over the contribution of all Floquet sidebands; the analytic proof is restricted to the weak-coupling limit to the reservoirs.

C3one line summary

In Floquet topological systems the two-terminal conductance quantizes to |W_ε| e²/h and the Hall conductance to W_ε e²/h after summing all Floquet sidebands, where W_ε is the winding invariant of the quasienergy gap.

References

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[1] We show that, in certain parameter regimes, the sum rule is even satisfied on including a small number of Floquet sidebands

[2] We show, again for the strip geometry, that the spatially resolved bond currents (summed over the Floquet sidebands) can be used to compute, in ad- dition to the two-terminal conductance, also the Hal

[3] This result is valid both for the strip and cylindrical geometries

[4] In the cylindrical geometry and in the weak cou- pling limit, we provide a microscopic interpretation of the Floquet sum rule and an analytic proof of the Hall conductance quantization. We show that s

[5] Floquet sum rules

Receipt and verification

First computed	2026-05-18T03:08:58.974120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db3bb718bad41e37b723780f0339aa982d058ec0d29fe622fdb3a45964f7fe43

Aliases

arxiv: 2605.13066 · arxiv_version: 2605.13066v1 · doi: 10.48550/arxiv.2605.13066 · pith_short_12: 3M53OGF22QPD · pith_short_16: 3M53OGF22QPDPNZD · pith_short_8: 3M53OGF2

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/3M53OGF22QPDPNZDPAHQGONKTA \
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Canonical record JSON

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    "abstract_canon_sha256": "6b89d02a94607610bc1916ef50f2e01b2081ffda3c0276d6e1254865d0f86b34",
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    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2026-05-13T06:39:56Z",
    "title_canon_sha256": "2cfdcc7a0f65e7503f94e897d857addf88ef582de666f08c0a59a5bb90066df4"
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