Superconductivity in cuprates governed by topological constraints

Noat, Yves; Mauger, A.

doi:10.1016/j.physleta.2022.128227

Cited by 2 publications

(6 citation statements)

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“…We then hypothesize that both T c and T * emerge from the proposed energy functional and statistical approach described above. This is a continuation of our previous work [4] wherein the superconducting state and the PG state are not independent phenomena. On the contrary, they are intimately coupled, so that T c and T * follow the relations:…”

Section: Comparison With Experiments For Different Materialssupporting

confidence: 77%

“…Consequently, the linear part of T max (p) extrapolates down to zero at the characteristic value p c = 0.2, which is close to a possible quantum critical point [59]. As discussed in our previous paper [4], the linear extrapolation to p c is a consequence of simplons in the high density limit. Indeed, the concentration p c = 1/5 corresponds to the perfect compact simplon lattice, as illustrated in figure 2.…”

Section: Magnetic Temperature Scalesupporting

confidence: 63%

“…We recall that the Voronoi cell is the generalization of the Wigner-Seitz cell for a non periodic distribution of points. We make the linear transformation for the doping in such a way that p ′ = 0 corresponds to the onset of superconductivity and that p ′ = 1 corresponds to the compact pairon lattice [4], which is obtained for p =0.25 (see figure 3). The latter value is very close to the end of the SC dome (i.e.…”

Section: Fluctuation Of the Densitymentioning

confidence: 99%

“…These results confirm that σ 2 characterizes the strength of the disorder and follows the expected binomial law. We proposed in a previous article [4] that the variance σ 2 is proportional to the work needed to disorder the system at zero temperature, starting from the (ordered) SC state, to reach the disordered Cooper glass state (CPG). The latter is an incoherent non-SC state, wherein the system is totally disordered, the variance is a maximum, reaching the binomial value (equation ( 5)).…”

Section: Fluctuation Of the Densitymentioning

confidence: 99%

“…In a previous article, using a statistical approach, we showed that the phase diagram of cuprates is dictated by the topological constraints of the 2D antiferromagnetic (AF) square lattice on the doped holes [4]. These constraints give rise to two quantum entities: simplons, which are individual holes and pairons, pairs of holes on neighboring sites, in their local AF environment [4]. Consequently, a simple explanation for the superconducting dome and its connection to the pseudogap (PG) state emerges, wherein both appear as inseparable phenomena.…”

Section: Introductionmentioning

confidence: 99%

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Statistics of the cuprate pairon states on a square lattice

Noat,

Mauger,

Sacks

2023

Modelling Simul. Mater. Sci. Eng.

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In this paper the fundamental parameters of high-$T_c$superconductivity are shown to be connected to the statistics ofpairons on a square lattice. In particular, we study the densityfluctuations and the distribution of Voronoi cell areas surroundingeach pairon on the scale of the antiferromagnetic correlationlength, for the complete range of pairon concentration. We show thatthe key parameters of the phase diagram, the $T_c$ dome, and thepseudogap temperature $T^*$, emerge from the statistical propertiesof the pairon disordered state. In this approach, thesuperconducting and the pseudogap states appear as inseparablephenomena. The condensation energy, which fixes the criticaltemperature, is directly proportional to the {\it correlationenergy} between pairons and {\it not} to the energy gap, contrary toconventional superconductors.When the correlation energy between pairons is suppressed byfluctuations, either thermally, by disorder, or in the vortex core,the pseudogap state of disordered pairons is obtained. We attributethe unique features of cuprate superconductivity to thisorder-disorder transition in real space, which clearly differs fromthe BCS mechanism. Our predictions are in quantitative agreementwith low-temperature tunneling and photoemission spectroscopyexperiments.

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Section: Comparison With Experiments For Different Materialssupporting

confidence: 77%

Section: Magnetic Temperature Scalesupporting

confidence: 63%

Section: Fluctuation Of the Densitymentioning

confidence: 99%

Section: Fluctuation Of the Densitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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