Generalised Ramachandran pairing interaction in helium-4 and helium-3 superfluids

Arulsamy, Andrew Das

doi:10.1007/s12043-020-02036-2

Cited by 6 publications

(1 citation statement)

References 36 publications

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“…But this discrepancy does not imply, in any way, that the pairing is now spin-induced because spin-induced pairing always ignores the phonon-induced scattering and it is not known how spin-induced pairing can cause the discontinuity in the specific heat data at the critical point. In one of our recent work, we have proved that the spin exchange interaction cannot cause fermion pairing (between electrons or between 3 He atoms) [63] after re-evaluating the real cause for 3 He pairing, which is required to form superfluid. In particular, the cause for superfluidity in 3 He refers to the identification of the Ramachandran attraction term that initiates the 3 He pairing, in the presence of the known contribution from the composite integer neutron spin states (to form bosonic states) and the Leggett's spontaneously broken spin-orbit symmetry for certain temperature and pressure ranges.…”

Section: A2 Additional Notes IImentioning

confidence: 98%

Supercurrent flow with large superconductor gap in cuprates: resurrection of phonon-mediated Cooper pairs

Arulsamy¹

2019

Phys. Scr.

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We systematically explore the exquisiteness of Bardeen-Cooper-Schrieffer(BCS) Hamiltonian where the BCS-type electron-phonon interaction is unambiguously reinforced as the only viable superglue in cuprate superconductors because phonon-induced scattering is effectively nil for Cooper pairs (in its original form), and also phonons are never required to Bose-condense. Here, we prove that (i) the Cooper-pair binding energy can be strengthened to obtain high superconductor transition temperature (T sc ) and (ii) the existence of a generalized electron-phonon potential operator that can induce the finite-temperature quantum phase transition between superconducting and strange metallic phases. To lend support for this extended BCS Hamiltonian, we derive the Fermi-Dirac statistics for Cooper-pair electrons, which correctly captures the physics of strongly bounded Cooper-pair break up with respect to changing temperature or superconductor gap (∆ BCS ). Finally, we further extend the BCS Hamiltonian within the ionization energy theory formalism to prove (iii) the existence of optimal doping that has maximum T sc (x optimum ) or ∆ BCS (x optimum ), and (iv) that the specific heat capacity jump at T sc in cuprates is due to finite-temperature quantum phase transition. Along the way, we expose the precise microscopic reason why predicting (not guessing) a superconductor properly is a hard problem within any theory that require pairing mechanism.On the basis of general consensus (somewhat similar to the enforced Copenhagen interpretation), two alternative proposals have been 'elected' because they are supported by certain experiments, and only one of them is believed to hold the key ingredients for high T BM sc superconductivity [7]. Briefly, the elected proposals are-(i) the magnetic spin fluctuation induced superglue [8] and (ii) the Anderson resonating valence bond theory that require Bose-Einstein condensation of holon pairs and spin-liquid [9-12]. For some in-depth arguments in favor of these proposals, refer to the reviews written by Baskaran [11] and Scalapino [13].Here, we do not follow any of these alternatives for two theoretically solid reasons-the first has been exposed earlier (see the first paragraph), while the second reason shall be

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Section: A2 Additional Notes IImentioning

confidence: 98%

Supercurrent flow with large superconductor gap in cuprates: resurrection of phonon-mediated Cooper pairs

Arulsamy¹

2019

Phys. Scr.

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Second law of classical and quantum thermodynamics and its validity for any timescale and system size

Arulsamy

2023

Chaos, Solitons & Fractals

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Origin of strange normal-state and superconductivity in sulfur hydrides at high pressures

Arulsamy¹

2022

Physica B: Condensed Matter

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Generalised Ramachandran pairing interaction in helium-4 and helium-3 superfluids

Cited by 6 publications

References 36 publications

Supercurrent flow with large superconductor gap in cuprates: resurrection of phonon-mediated Cooper pairs

Supercurrent flow with large superconductor gap in cuprates: resurrection of phonon-mediated Cooper pairs

Second law of classical and quantum thermodynamics and its validity for any timescale and system size

Origin of strange normal-state and superconductivity in sulfur hydrides at high pressures

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