Arc-to-pocket transition and quantitative understanding of transport properties in cuprate superconductors

Tabiś, Wojciech; Popčević, Petar; Klebel-Knobloch, Benjamin; Bialo, I.; Kumar, C. M. N.; Vignolle, Baptiste; Greven, M.; Barišić, N.

doi:10.48550/arxiv.2106.07457

Cited by 6 publications

(23 citation statements)

References 26 publications

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“…The implication, in agreement with the observed evolution of the arcs at the Fermi surface, is that the ungapped (nodal) parts retain their FL character with an essentially universal scattering rate and Fermi velocity (effective mass), while the gapped (antinodal) states do not contribute to conductivity (5,17). Consequently, the changes in the resistivity can be simply related to the change in the carrier density, obtained from the resistivity directly by use of a standard Drude formula, and (13)(14)(15)(16). Considering the uncertainties in the absolute values of ρ and R H , and the difficulties associated with ascertaining the exact doping level for each particular sample, the agreement between n ρ and n H across different compounds is remarkable.…”

Section: Introductionsupporting

confidence: 80%

“…The blue (red) chevrons indicate the doping of the Hg1201 (Bi2212) samples discussed in the text. (e) Comparison of the zero-temperature effective carrier density n eff for several cuprates families extracted from the resistivity (n ρ , full lines) and Hall effect (n H , filled circles)(13)(14)(15)(16). Considering the uncertainties in the absolute values of ρ and R H , and the difficulties associated with ascertaining the exact doping level for each particular sample, the agreement between n ρ and n H across different compounds is remarkable.…”

mentioning

confidence: 99%

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Optical conductivity of cuprates in a new light

Kumar¹,

Akrap²,

Homes³

et al. 2022

Preprint

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Understanding the physical properties of unconventional superconductors as well as of other correlated materials presents a formidable challenge. Their unusual evolution with doping, frequency, and temperature, has frequently led to non-Fermi-liquid (non-FL) interpretations. Optical conductivity is a major challenge in this context. Here, the optical spectra of two archetypal cuprates, underdoped HgBa 2 CuO 4+δ and optimally-doped Bi 2 Sr 2 CaCu 2 O 8+δ , are interpreted based on the standard Fermi liquid (FL) paradigm. At both dopings, perfect frequency-temperature FL scaling is found to be modified by the presence of a second, gapped electronic subsystem. This non-FL component emerges as a well-defined mid-infrared spectral feature after the FL contribution-determined independently by transport-is subtracted. Temperature, frequency and doping evolution of the MIR feature identifies a gapped rather than dissipative response.In contrast, the dissipative response is found to be relevant for pnictides and ruthenates. Such an unbiased FL/non-FL separation is extended across the cuprate phase diagram, providing a natural explanation why the superfluid density is attenuated on the overdoped side. Thus, we obtain a unified interpretation of optical responses and transport measurements in all analyzed physical regimes and all analyzed compounds.

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Section: Introductionsupporting

confidence: 80%

mentioning

confidence: 99%

Optical conductivity of cuprates in a new light

Kumar¹,

Akrap²,

Homes³

et al. 2022

Preprint

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“…Once again, positions of the high-energy "hump" in the ARPES spectra coincide with the positions of the mid-infrared feature as a function of doping [62,28]. Moreover, the underlying Fermi surface always encompasses 1 + p states, as corroborated by the well-documented universality of Hall mobility, which excludes a Fermi-surface reconstruction which would fold the zone and thus necessarily change the scattering rate and effective mass [23]. The bottom line is that all these spectroscopic tools unambiguously indicate a pseudogap evolving without symmetry-breaking, therefore any discussion of transport in cuprates must take into account the concomitant evolution of the carrier density, although that is regularly ignored.…”

Section: Charge Accounting Between Two Electronic Subsystemssupporting

confidence: 60%

“…Because the parent compound is a Mott charge-transfer insulator (exactly one hole is localized per CuO 2 unit: n loc = 1), the overall charge density is always 1 + p = n loc + n eff , where the change in n loc , and concomitantly in n eff , is due to a gradual delocalization of the Mott-localized hole, with temperature and doping. The obtained variation of the localized hole content is shown in (c) [28,23]. Observe that the 97% line coincides with the T * line in (a).…”

Section: Fermi Liquid Nature Of the Itinerant Chargesupporting

confidence: 54%

“…Only starting from them can one hope to understand the emergent phases, including high-T c SC, or properties that appear on even smaller energy scales. For example, the Fermi energy of the pocket in the reconstructed phase at 10% doping [20,21] is of the order of ∼ 10 meV [22,23], which means that it is not a relevant ground state for the SC.…”

Section: Normal Statementioning

confidence: 99%

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High-T$$_c$$ Cuprates: a Story of Two Electronic Subsystems

Barišić

Sunko

2022

J Supercond Nov Magn

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A review of the phenomenology and microscopy of cuprate superconductors is presented, with particular attention to universal conductance features, which reveal the existence of two electronic subsystems. The overall electronic system consists of $$1+p$$ 1 + p charges, where p is the doping. At low dopings, exactly one hole is localized per planar copper–oxygen unit, while upon increasing doping and temperature, the hole is gradually delocalized and becomes itinerant. Remarkably, the itinerant holes exhibit identical Fermi liquid character across the cuprate phase diagram. This universality enables a simple count of carrier density and yields comprehensive understanding of the key features in the normal and superconducting state. A possible superconducting mechanism is presented, compatible with the key experimental facts. The base of this mechanism is the interaction of fast Fermi liquid carriers with localized holes. A change in the microscopic nature of chemical bonding in the copper oxide planes, from ionic to covalent, is invoked to explain the phase diagram of these fascinating compounds.

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Transport properties and doping evolution of the Fermi surface in cuprates

Klebel-Knobloch,

Tabiś,

Gala

et al. 2023

Sci Rep

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Measured transport properties of three representative cuprates are reproduced within the paradigm of two electron subsystems, itinerant and localized. The localized subsystem evolves continuously from the Cu 3d$$^9$$ 9 hole at half-filling and corresponds to the (pseudo)gapped parts of the Fermi surface. The itinerant subsystem is observed as a pure Fermi liquid (FL) with material-independent universal mobility across the doping/temperature phase diagram. The localized subsystem affects the itinerant one in our transport calculations solely by truncating the textbook FL integrals to the observed (doping- and temperature-dependent) Fermi arcs. With this extremely simple picture, we obtain the measured evolution of the resistivity and Hall coefficients in all three cases considered, including LSCO which undergoes a Lifshitz transition in the relevant doping range, a complication which turns out to be superficial. Our results imply that prior to evoking polaronic, quantum critical point, quantum dissipation, or even more exotic scenarios for the evolution of transport properties in cuprates, Fermi-surface properties must be addressed in realistic detail.

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Arc-to-pocket transition and quantitative understanding of transport properties in cuprate superconductors

Cited by 6 publications

References 26 publications

Optical conductivity of cuprates in a new light

Optical conductivity of cuprates in a new light

High-T$$_c$$ Cuprates: a Story of Two Electronic Subsystems

Transport properties and doping evolution of the Fermi surface in cuprates

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