Investigation of fermionic pairing on tight binding lattice for low dimensional systems – Fermi liquid vs. Luttinger–Tomonaga liquid

Chowdhury, Soumi Roy; Chaudhury, Ranjan

doi:10.1016/j.physb.2015.02.014

Cited by 2 publications

(7 citation statements)

References 26 publications

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“…The superconducting gaps are estimated from the CP equation. These are consistent with other types of experiments [1]. Furthermore, our analysis brings out the realistic nature of Fermi Liquid-like (FL) description of the parental normal phase in contrast to that provided by the Luttinger-Tomonaga liquid (LTL) theory at low temperatures for these systems.…”

Section: Theoretical Methodology and Important Resultssupporting

confidence: 89%

“…Let us first take the case of quasi-1D superconductors with a lattice model. The Cooper's one pair (CP) equation for the binding energy with the filled Fermi Sea background, takes the following form [1] :-…”

Section: Theoretical Methodology and Important Resultsmentioning

confidence: 99%

“…where k = 0 − 2tcos(ka) ; (E − 2E F ) is the Cooper pair binding energy. Similar equation has been set up for pair with finite CMM on the lattice [1]. Here, we considered the attractive interaction mediated by the charge transfer excitons which were observed experimentally in the optical absorption experiments [2].…”

Section: Theoretical Methodology and Important Resultsmentioning

confidence: 99%

“…Let us now discuss our work on both these classes of superconductors systematically in some details. (1) The superconductors of fully 3-dimensional type as well as of lower dimensions with quasi-1D and quasi-2D characters have fascinated condensed matter physicists for many many decades. This has stimulated a lot of investigation and research into the origin of microscopic mechanisms for Cooper pairing as well as superconductivity in these diverse systems.…”

Section: Introductionmentioning

confidence: 99%

“…In contrast to the 3D systems, the low-dimensional superconductors are governed by the two distinct processes viz. intra-chain/ intra-layer Cooper pair formation accompanied by inter-chain/ inter-layer pair tunneling [1]. We had analysed both Cooper pair formations as well as superconducting properties in all these different types of systems viz.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Some aspects of Microscopic Mechanism of Superconductivity in conventional and non-conventional systems

Chaudhury¹,

Mandal²

2022

Preprint

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A broad review of theoretical research work involving different types of microscopic mechanism in various classes of superconductors, carried out in our research group over a decade or so, is presented. These mechanisms include both conventional as well as exotic ones. Special emphasis is placed on the possible applications to the experimental situations. Moreover, comparison of our works with various theoretical proposals made by various other researchers, with regard to high temperature superconductivity in particular, is made. The crucial importance and special significance of our results are highlighted.

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Section: Theoretical Methodology and Important Resultssupporting

confidence: 89%

Section: Theoretical Methodology and Important Resultsmentioning

confidence: 99%

Section: Theoretical Methodology and Important Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Some aspects of Microscopic Mechanism of Superconductivity in conventional and non-conventional systems

Chaudhury¹,

Mandal²

2022

Preprint

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Theoretical Investigation of the Feasibility of Electronic Mechanism for Superconducting Pairing in Overdoped Cuprates

Chowdhury

Chaudhury

2019

J Low Temp Phys

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Cooper's formalism for fermionic pairing has been revisited considering upto 3 rd neighbour hopping terms, firstly with a Fermi liquid like background on a square lattice keeping in mind the overdoped cuprates. Then the whole scheme is repeated with a Marginal Fermi liquid-like background, taking into account the self energy correction of the mobile electrons to include a more realistic density of states in the calculation. Detailed comparison of our theoretical results with those from experiments strongly supports the Marginal Fermi liquid-like character of the normal phase with exciton mediated superconducting pairing in the concerned materials, in the lightly overdoped phase. Keywords: A. Self energy B. Superconductivity in overdoped cuprates C. Electronic pairing mechanism D. Marginal Fermi liquid theory Introduction:Theoretical demonstrations of superconductivity in overdoped cuprates supported by Fermi liquid (FL) like description of parental normal phase, were presented by many researchers till now [1][2][3][4][5][6]. Cuprates undergo transitions between different phases-from insulating with long range antiferromagnetism to superconductor with normal phase of non-Fermi liquid nature and then again to superconductor having Fermi liquid (FL) characterized normal phase, with increase in doping percentage and lowering of temperature. It has been argued that with increasing concentration of mobile holes the fermionic correlation in the system becomes weaker compared to the band width and the cuprate system becomes a better metal [8]. By measuring the transport of both heat and charge in the normal state at very low temperature, experimentalists were able to verify that one of the hole doped cuprates in the over doped regime obeys the Wiedemann-

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Investigation of fermionic pairing on tight binding lattice for low dimensional systems – Fermi liquid vs. Luttinger–Tomonaga liquid

Cited by 2 publications

References 26 publications

Some aspects of Microscopic Mechanism of Superconductivity in conventional and non-conventional systems

Some aspects of Microscopic Mechanism of Superconductivity in conventional and non-conventional systems

Theoretical Investigation of the Feasibility of Electronic Mechanism for Superconducting Pairing in Overdoped Cuprates

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