Experimental Signatures of a Memory-Dressed Cooper-Pair Field in Antinodal ARPES
Abstract
Antinodal angle-resolved photoemission spectroscopy (ARPES) in cuprate superconductors reveals a broad incoherent background alongside a temperature-dependent superconducting contribution. We show that both features are naturally captured by a single family of parabolic cylinder functions (PCFs). First, the broad antinodal background in \BiCuprate\ is well described by a primitive PCF branch of the form e−z2/4D−1/2(z). Second, a superconductivity-associated component isolated via time-resolved ARPES subtraction follows a distinct D3/2 branch. Third, the same D3/2 structure is recovered in equilibrium temperature differences and across doping series. These findings motivate the minimal decomposition ρ(E,T)=ρBG(E,T)+ρSC(E,T), where the superconductivity-associated spectral weight scales as ASC(T)∝ |Δ(T)|2. Dynamically, these branches originate from a Cooper-pair field with finite temporal memory: a smooth memory kernel generates a leading Gaussian temporal envelope exp(−t2/2τG2) at short times, while algebraic many-body prefactors select the PCF branch index. If the finite-memory and algebraic incoherent dressing is formally removed, the resulting structure connects to the standard Bogoliubov/BCS spectrum. The main conclusion is that the incoherent antinodal continuum and the longer-lived superconductivity-associated component are distinct projections of a common memory-dressed pair field.
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BibTeX
@misc{pinsook2026experimental,
title = {{Experimental Signatures of a Memory-Dressed Cooper-Pair Field in Antinodal ARPES}},
author = {Udomsilp Pinsook},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.03937},
eprint = {2607.03937},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.03937},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Experimental Signatures of a Memory-Dressed Cooper-Pair Field in Antinodal ARPES
AU - Udomsilp Pinsook
PY - 2026
DA - 2026/09/05
PB - arXiv
DO - 10.48550/arxiv.2607.03937
UR - https://arxiv.org/abs/2607.03937
AB - Antinodal angle-resolved photoemission spectroscopy (ARPES) in cuprate superconductors reveals a broad incoherent background alongside a temperature-dependent superconducting contribution. We show that both features are naturally captured by a single family of parabolic cylinder functions (PCFs). First, the broad antinodal background in \BiCuprate\ is well described by a primitive PCF branch of the form e^−z^2/4D_−1/2(z). Second, a superconductivity-associated component isolated via time-resolved ARPES subtraction follows a distinct D_3/2 branch. Third, the same D_3/2 structure is recovered in equilibrium temperature differences and across doping series. These findings motivate the minimal decomposition ρ(E,T)=ρ_BG(E,T)+ρ_SC(E,T), where the superconductivity-associated spectral weight scales as A_SC(T)∝ |Δ(T)|^2. Dynamically, these branches originate from a Cooper-pair field with finite temporal memory: a smooth memory kernel generates a leading Gaussian temporal envelope exp(−t^2/2τ_G^2) at short times, while algebraic many-body prefactors select the PCF branch index. If the finite-memory and algebraic incoherent dressing is formally removed, the resulting structure connects to the standard Bogoliubov/BCS spectrum. The main conclusion is that the incoherent antinodal continuum and the longer-lived superconductivity-associated component are distinct projections of a common memory-dressed pair field.
ER -