Stability of the Gutzwiller projected BCS wavefunction in t–J bilayers: A variational Monte Carlo study

Medhi, Amal; Basu, Saurabh; Kadolkar, Charudatt

doi:10.1016/j.physc.2006.09.010

“…We shall skip details of the variational Monte Carlo method used as it appears elsewhere 23,24,26 and only provide the essential features of our computation. We consider periodic boundary condition along the planar x-direction and antiperiodic boundary condition in the planar y-direction to avoid singularity in φ(k) for the kpoints with k x = k y and ǫ k − µ ≤ 0 24 .…”

Section: The Resultsmentioning

confidence: 99%

“…The dependence of energy on lattice size is elucidated in details in Ref. 23. However the main features of the key results here, e.g.…”

Section: Superconducting Correlationsmentioning

confidence: 93%

“…As for the pairing symmetry of the SC state, we considered energies of four different variational wavefunctions listed in the previous section. An earlier work 23 investigates in details the first three wavefunctions in the list and found that the pure d-wave state yields lowest energy at all values of δ away from half filling. This led to the conclusion that of the three pairing symmetries discussed there, a planar dwave state is most appropriate in the context of a t-J bilayer.…”

Section: A Stability Of Different Phasesmentioning

confidence: 99%

“…We further intend to investigate the dependence of these properties on interlayer coupling strengths. In a recent paper 23 , to determine the most suitable pairing symmetry of the SC state in t-J bilayers we investigated the stability of various pairing symmetries, e.g. (a) ∆(cos…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Coexistence of magnetism and superconductivity in at−Jbilayer

Medhi

¹

,

Basu

²

,

Kadolkar

³

2007

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We investigate coexistence of antiferromagnetic and superconducting correlations in bilayered materials using a two-dimensional t-J model with couplings across the layers using variational Monte Carlo calculations. It is found that the underdoped regime supports a coexisting phase, beyond which the (d-wave) superconducting state becomes stable. Further, the effects of interplanar coupling parameters on the magnetic and superconducting correlations as a function of hole doping are studied in details. The magnetic correlations are found to diminish with increasing interplanar hopping away from half filling, while the exchange across the layers strengthens interplanar antiferromagnetic correlations both at and away from half filling. The superconducting correlations show more interesting features where larger interplanar hopping considerably reduces planar correlations at optimal doping, while an opposite behaviour, i.e. stabilisation of the superconducting state is realised in the overdoped regime, with the interplanar exchange all the while playing a dormant role.

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“…We shall skip details of the variational Monte Carlo method used as it appears elsewhere 23,24,26 and only provide the essential features of our computation. We consider periodic boundary condition along the planar x-direction and antiperiodic boundary condition in the planar y-direction to avoid singularity in φ(k) for the kpoints with k x = k y and ǫ k − µ ≤ 0 24 .…”

Section: The Resultsmentioning

confidence: 99%

Coexistence of magnetism and superconductivity in a t-J bilayer

Medhi,

Basu,

Kadolkar

2007

Preprint

Self Cite

0

View full text Add to dashboard Cite

We investigate coexistence of antiferromagnetic and superconducting correlations in bilayered materials using a two-dimensional t-J model with couplings across the layers using variational Monte Carlo calculations. It is found that the underdoped regime supports a coexisting phase, beyond which the (d-wave) superconducting state becomes stable. Further, the effects of interplanar coupling parameters on the magnetic and superconducting correlations as a function of hole doping are studied in details. The magnetic correlations are found to diminish with increasing interplanar hopping away from half filling, while the exchange across the layers strengthens interplanar antiferromagnetic correlations both at and away from half filling. The superconducting correlations show more interesting features where larger interplanar hopping considerably reduces planar correlations at optimal doping, while an opposite behaviour, i.e. stabilisation of the superconducting state is realised in the overdoped regime, with the interplanar exchange all the while playing a dormant role.

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Effect of interlayer processes on the superconducting state within thet−J−Umodel: Full Gutzwiller wave-function solution and relation to experiment

Zegrodnik

¹

,

Spałek

²

2017

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The Gutzwiller wave function solution of the t-J-U model is considered for the bilayer high-TC superconductor by using the so-called diagrammatic expansion method. The focus is on the influence of the interlayer effects on the superconducting state. The chosen pairing symmetry is a mixture of d x 2 −y 2 symmetry within the layers and the so-called s ± symmetry for the interlayer contribution. The analyzed interlayer terms reflect the interlayer electron hopping, the interlayer exchange coupling, and the interlayer pair hopping. The obtained results are compared with selected experimental data corresponding to the copper-based compound Bi-2212 with two Cu-O planes in the unit cell. For the sake of comparison, selected results for the case of the bilayer Hubbard model are also provided. This paper complements our recent results obtained for the single-plane high temperature cuprates (cf. Ref. 26).

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Stability of the Gutzwiller projected BCS wavefunction in t–J bilayers: A variational Monte Carlo study

Cited by 4 publications

References 18 publications

Coexistence of magnetism and superconductivity in at−Jbilayer

Coexistence of magnetism and superconductivity in at−Jbilayer

Coexistence of magnetism and superconductivity in a t-J bilayer

Effect of interlayer processes on the superconducting state within thet−J−Umodel: Full Gutzwiller wave-function solution and relation to experiment

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