Correlations betweenT
                     c andn
                     s/m
                     * (carrier density/ effective mass) in high-T
                     c and organic superconductors

Uemura, Y. J.; Le, L. P.; Luke, G. M.; Sternlieb, B. J.; Brewer, J. H.; Carolan, J. F.; Hardy, W. N.; Kadono, R.; Kiefl, R. F.; Kreitzman, S. R.; Riseman, T. M.; Seaman, C. L.; Neumeier, J. J.; Maple, M. B.; Saito, G.; Yamochi, Hideki; Takagi, H.; Uchida, S.; Gopalakrishnan, J.; Subramanian, M.A.; Sleight, A.W.; Xiao, Gang

doi:10.1007/bf02395995

Cited by 41 publications

(68 citation statements)

References 14 publications

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“…The importance of phase fluctuations has also been emphasized in the analysis of nonlinear diamagnetism 11 and Nernst effect 12 in the hightemperature normal state, but this interpretation of Nernst data has been recently challenged 13 . We should note, however, that there is considerable evidence in underdoped cuprates that superconducting order is destroyed by phase-disordering [14][15][16][17] rather than a gap collapse, with T c controlled by the superfluid density. This is exactly what one expects in a lightly doped Mott insulator 18 .…”

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confidence: 90%

Theory of quantum oscillations in the vortex-liquid state of high-Tc superconductors

2013

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The observation of quantum oscillations in underdoped cuprates has generated intense debate about the nature of the field-induced resistive state and its implications for the 'normal state' of high-T c superconductors. Quantum oscillations suggest an underlying Fermi liquid at high magnetic fields H and low temperatures, in contrast with the pseudogap seen in zero-field, high-temperature spectroscopic experiments. Recent specific heat measurements show quantum oscillations in addition to a large field-dependent suppression of the electronic density of states. Here we present a theoretical analysis that reconciles these seemingly contradictory observations. We model the resistive state as a vortex liquid with short-range d-wave pairing correlations. We show that this state exhibits quantum oscillations, with a period determined by a Fermi surface reconstructed by a competing order parameter, in addition to a large suppression of the density of states that goes like ffiffiffi ffi

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confidence: 90%

Theory of quantum oscillations in the vortex-liquid state of high-Tc superconductors

2013

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“…In the solid state context the geometric contribution to the superfluid weight is expected to be larger for superconductors with high T c and provides a possible explanation of the linear relation between superfluid weight and critical temperature in cuprates (Uemura relation [68,69]) since D s;geom ∝ Δ ∝ T c . We expect D s;geom to be significant in models with nontrivial Bloch functions also with the different pairing symmetries found in high-T c superconductors, whose incorporation to our theory for the superfluid weight is an important topic of future research.…”

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confidence: 97%

Geometric Origin of Superfluidity in the Lieb-Lattice Flat Band

et al. 2016

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The ground state and transport properties of the Lieb lattice flat band in the presence of an attractive Hubbard interaction are considered. It is shown that the superfluid weight can be large even for an isolated and strictly flat band. Moreover the superfluid weight is proportional to the interaction strength and to the quantum metric, a band structure quantity derived solely from the flat-band Bloch functions. These predictions are amenable to verification with ultracold gases and may explain the anomalous behaviour of the superfluid weight of high-Tc superconductors.

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“…In underdoped cuprates, ρ s is found to decrease monotonically with T c0 (ref. 28), indicating that the condensate density drops as p is reduced. Significantly, in overdoped cuprates, ρ s also falls away as T c0 decreases 13,14 .…”

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Phase-fluctuating superconductivity in overdoped La2−xSrxCuO4

Rourke

Mouzopoulou

et al. 2011

Nature Phys

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In underdoped cuprate superconductors, phase stiffness is low and long-range superconducting order is destroyed readily by thermally generated vortices (and anti-vortices), giving rise to a broad temperature regime above the zero-resistive state in which the superconducting phase is incoherent 1-4 . It has often been suggested that these vortex-like excitations are related to the normal-state pseudogap or some interaction between the pseudogap state and the superconducting state 5-10 . However, to elucidate the precise relationship between the pseudogap and superconductivity, it is important to establish whether this broad phase-fluctuation regime vanishes, along with the pseudogap 11 , in the slightly overdoped region of the phase diagram where the superfluid pair density and correlation energy are both maximal 12 . Here we show, by tracking the restoration of the normal-state magnetoresistance in overdoped La 2−x Sr x CuO 4 , that the phase-fluctuation regime remains broad across the entire superconducting composition range. The universal low phase stiffness is shown to be correlated with a low superfluid density 1 , a characteristic of both underdoped and overdoped cuprates 12-14 . The formation of the pseudogap, by inference, is therefore both independent of and distinct from superconductivity.In underdoped cuprates, an energy gap (pseudogap), of as yet unknown origin, appears in the electronic density of states well before superconductivity develops. The continuous evolution 6 of the pseudogap into the superconducting gap, combined with similarities in their gap magnitudes and symmetries 5 , has led to suggestions that the pseudogap is a precursor superconducting state 7-10 characterized by a broad temperature region over which the superconducting order parameter is finite but the phase fluctuates 3,4 . This picture of precursor pairing remains controversial however and is challenged by measurements indicating that the pseudogap itself closes at a critical doping concentration 11 , slightly beyond optimal doping, where superconductivity is most robust 12 . As it stands, there have been very few studies to date of the fluctuating superconductivity in overdoped, superconducting cuprates to establish the precise relationship between the pseudogap and phase fluctuation regimes.To address this, we focus here on the evolution of the upper critical field H c2 with temperature, as inferred by measurements of the in-plane resistivity ρ ab (T ,H ) in pulsed and d.c. magnetic fields. Previous transport studies in cuprates identified H c2 (T ) with the 'knee' at or near the top of the ρ ab (T ) curve or the temperature at which ρ ab (H ) attained a certain fraction of the normal-state value 15 . Either technique would lead to a H c2 (T ) line with a markedly different shape from that determined by the Nernst effect, for example. In this study, we adopt an alternative approach 16,17 , using the evolution of the transverse magnetoresistance ρ ab (H )(= ρ ab (H )− ρ ab (0) with H c) with temperature, field and doping, as ...

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Correlations betweenT c andn s/m * (carrier density/ effective mass) in high-T c and organic superconductors

Cited by 41 publications

References 14 publications

Theory of quantum oscillations in the vortex-liquid state of high-Tc superconductors

Theory of quantum oscillations in the vortex-liquid state of high-Tc superconductors

Geometric Origin of Superfluidity in the Lieb-Lattice Flat Band

Phase-fluctuating superconductivity in overdoped La2−xSrxCuO4

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