Search arXiv⌕ Search

arXiv · 0705.3170

Two interacting GL-equations in High-T$_c$ superconductivity and quantum chromodynamics

Abstract

The possible connection between High-T$_c$ superconductivity and quantum chromodynamics is considered that is based on two interacting Ginzburg-Landau equations. For High-T$_c$ superconductivity these two equations describe Cooper electrons interacting with different kind of quasi particles (phonons, magnons, excitons and so on). The interaction term describes a possible interaction between different kind of quasi particles. For quantum chromodynamics the equations describe two kinds of gauge condensates. The condensates describe a gauge potential from a subalgebra of the SU(3) gauge group and the corresponding coset. Regular solutions are found which describe the situation where one field, $ψ_1$, is pushed out by another, $ψ_2$.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Vladimir Dzhunushaliev. 2007-05-22. Two interacting GL-equations in High-T$_c$ superconductivity and quantum chromodynamics. https://arxiv.org/abs/0705.3170

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Topological multicomponent superconductivity with sizable $s$-wave admixture in twisted bilayer cuprates

We investigate multicomponent superconductivity in twisted bilayer cuprates with order parameter $s+d_1 e^{iϕ_1}+d_2 e^{iϕ_2}$, where $s=s_1+s_2$ is the layer-symmetric $s$-wave pairing and $d_i$ is the $d$-wave pairing in layer $i$. When $ϕ_1-ϕ_2\neq 0,π$, this three-component state spontaneously breaks time-reversal and $C_4$ rotational symmetries and can realize a topologically nontrivial phase. Ginzburg-Landau analysis and self-consistent mean-field calculations show that this state is stabilized over a broad parameter regime. We further identify nematic Kerr anisotropy as a key signature distinguishing it from $s+id$ and $d_1+e^{iϕ}d_2$, and find that its Josephson critical current remains sizable near the $45^{\circ}$ twist. Our results show that $s$-wave pairing does not preclude chiral topological superconductivity, pointing to twisted cuprates as a more robust platform than previously appreciated.

cond-mat.supr-con↗

Contact Renormalization of One-Mode Electron Correlation: Validation in Four- and Ten-Electron Systems

A stationary many-electron eigenstate has one dynamical phase although its internal response can be strongly multimode. We ask whether the stationary Hartree--Fock information carrier contains enough information to determine the scalar correlation energy through one effective return. In regularized Hartree--Fock, Gaussian primitive products fix a minimum-information relative-coordinate mode before any one-mode reduction; virial completion defines the correlation source, while exact contact measures the additional return restriction created by neighboring occupied pairs. The Be-like $1s^22s^2$ sequence establishes the one-valence-pair boundary: with no neighboring occupied valence pair, the source returns through the universal floor $D_0=\sqrt{1+δ^2}$. Ten-electron molecules and Ne-like ions then test how finite-pair contact dresses that return. The same parameter-free source--return construction reproduces the established molecular and ionic correlation trends with quantitative accuracy. The numerical agreement therefore serves as validation of a physical separation between source strength and return restriction, rather than as the objective by itself.

cond-mat.supr-con↗

Heterogeneous superconductivity emerging from a charge-stripe state in kagome lattices

Charge density wave (CDW) and superconductivity have long been recognized as competing orders. However, recent achievements establish that the interplay between these two collective electronic phenomena can be more perplexing, with emergent phenomena arising from their cooperation. Here we report a distinctive case of the kagome superconductors CsV3Sb5-xSnx, in which the characteristics of superconductivity evolve in accordance with the form of CDW order. As the triple-Q CDW in CsV3Sb5 transforms to a short-range stripelike CDW at xc = 0.07, a sudden change in superconducting properties occurs concomitantly. A combination of thermodynamic, electrical transport and scanning tunneling microscopy experiments reveals a heterogeneous superconducting state beyond xc: the superconducting gap exhibits pronounced spatial variation, in conformity with a distribution of critical temperature and the resulted superconducting precursor effects. Moreover, abundant normal fluid persists deep into the superconducting state, as evidenced by remnants of electronic specific heat and zero-energy quasiparticle interference. These observations are unrelated to the chemical inhomogeneity and residual strain effect introduced by Sn substitution. Instead, they emulate the phenomenology that a sign-changing superconducting order parameter is subject to strong pair-breaking scattering with the short-range charge stripes and hence reflect the unconventional nature of superconductivity developing inside the charge-stripe state.

cond-mat.supr-con↗