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Moore, S. W.; Graybeal, J. M.; Tanner, D. B.; Sarrao, J. L.; Fisk, Z.

doi:10.1103/physrevb.66.060509

Cited by 7 publications

(9 citation statements)

References 10 publications

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“…Though this observation of transfer of spectral weight from high to low energy is not expected in a semiconductor or a band insulator, it is certainly not an anomaly in strongly correlated systems. In fact, it is the fingerprint of Mottness as it has been observed in the classic Mott system NiO upon Li doping [49] and in all optical conductivity measurements on the cuprates [36,37,39,40,41] above any temperature having to do with ordering. This generic behaviour of spectral weight transfer is captured by the Hubbard model.…”

Section: Spectral Weight Transfermentioning

confidence: 84%

“…In the atomic limit, the number of addition states scales as 2x [54,55] when x holes are created. In a semiconductor or a Fermi liquid, the number of addition states would be strictly x. Experimentally [53,49,36,37,39,40,41], however, the low-energy spectral weight (LESW) grows faster than 2x. The excess of 2x can be understood simply by turning on the hopping [4].…”

Section: Spectral Weight Transfermentioning

confidence: 99%

“…The split electron dispersion below the chemical potential is consistent with the composite nature of the electron operator dictated by Eq. (39). At low energies, the electron is a linear superposition of two states, one the standard band in the LHB described by excitations of the form, c † iσ (1 − n iσ ) and the other a composite excitation consisting of a bound hole and the charge 2e boson, c iσ ϕ † i .…”

Section: Spectral Function: Pseudogapmentioning

confidence: 99%

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Mottness in high-temperature copper-oxide superconductors

2009

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The standard theory of metals, Fermi liquid theory, hinges on the key assumption that although the electrons interact, the low-energy excitation spectrum stands in a one-to-one correspondence with that of a non-interacting system. In the normal state of the copper-oxide high-temperature superconductors, drastic deviations from the Fermi liquid picture obtain, highlighted by a pseudogap, broad spectral features and T − linear resistivity. A successful theory in this context must confront the highly constraining scaling argument which establishes that all 4-Fermi interactions are irrelevant (except for pairing) at a Fermi surface. This argument lays plain that new low-energy degrees of freedom are necessary. This article focuses on the series of experiments on the copper-oxide superconductors which reveal that the number of low-energy addition states per electron per spin exceeds unity, in direct violation of the key Fermi liquid tenet. These experiments point to new degrees of freedom, not made out of the elemental excitations, as the key mechanism by which Fermi liquid theory breaks down in the cuprates. A recent theoretical advance which permits an explicit integration of the high energy scale in the standard model for the cuprates reveals the source of the new dynamical degrees of freedom at low energies, a charge 2e bosonic field which has nothing to do with pairing but rather represents the mixing with the high energy scales. We demonstrate explicitly that at half-filling, this new degree of freedom provides a dynamical mechanism for the generation of the charge gap and antiferromagnetism in the insulating phase. At finite doping, many of the anomalies of the normal state of the cuprates including the pseudogap, T −linear resistivity, and the mid-infrared band are reproduced. A possible route to superconductivity is explored.

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Section: Spectral Weight Transfermentioning

confidence: 84%

Section: Spectral Weight Transfermentioning

confidence: 99%

Section: Spectral Function: Pseudogapmentioning

confidence: 99%

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Mottness in high-temperature copper-oxide superconductors

2009

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“…Both the magnitude of ⍀ max and its doping dependence as well as the electron filling dependence of the integrated weight are consistent with those of the midinfrared band in the optical conductivity in the cuprates. 6,7,[9][10][11] To determine what sets the scale for the MIB, we studied its evolution as a function of U. Figure 7 verifies that max is set essentially by the hopping matrix element t and depends only weakly on J.…”

Section: B Midinfrared Bandmentioning

confidence: 90%

Hidden charge-2eboson: Experimental consequences for doped Mott insulators

2008

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We show here that many of the normal state properties of the cuprates can result from the new charge 2e bosonic field which we have recently ͓Phys. Rev. Lett. 99, 046404 ͑2007͒; Phys. Rev. B 77, 014512 ͑2007͔͒ shown to exist in the exact low-energy theory of a doped Mott insulator. In particular, the ͑1͒ midinfrared band including the nonvanishing of the restricted f-sum rule in the Mott insulator, ͑2͒ T 2 contribution to the thermal conductivity, ͑3͒ pseudogap, ͑4͒ bifurcation of the electron spectrum below the chemical potential, as recently seen in angle-resolved photoemission, ͑5͒ insulating behavior away from half-filling, ͑6͒ high-and low-energy kinks in the electron dispersion, and ͑7͒ T-linear resistivity all derive from the charge 2e bosonic field. We also calculate the inverse dielectric function and show that it possesses a sharp quasiparticle peak and a broad particle-hole continuum. The sharp peak is mediated by a new charge e composite excitation formed from the binding of a charge 2e boson and a hole and represents a distinctly new prediction of this theory. It is this feature that is responsible for the dynamical part of the spectral weight transferred across the Mott gap. We propose that electron-energy loss spectroscopy at finite momentum and frequency can be used to probe the existence of such a sharp feature.

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“…(11b) tracks well that of T * , thereby corroborating that the mid-IR feature and the pseudogap are related phenomena. While the origin of the mid-IR remains a point of controversy (Chakraborty et al, 2008;Comanac et al, 2008;Haule and Kotliar, 2007;Hwang et al, 2007;Moore et al, 2002) in cuprate phenomenology, two things are clear. First, any explanation of it must apply equally to the pseudogap regime.…”

Section: B Optical Conductivity: Emergence Of the Pseudogapmentioning

confidence: 99%

Colloquium: Identifying the propagating charge modes in doped Mott insulators

2010

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High-temperature superconductivity in the copper-oxide ceramics remains an unsolved problem because we do not know what the propagating degrees of freedom are in the normal state. As a result, we do not know what are the weakly interacting degrees of freedom which pair up to form the superconducting condensate. That the electrons are not the propagating degrees of freedom in the cuprates is seen most directly from experiments that show spectral weight redistributions over all energy scales. Of course, the actual propagating degrees of freedom minimize such spectral rearrangements. This review focuses on the range of epxerimental consequences such UV-IR mixings have on the normal state of the cuprates, such as the pseudogap, mid-infrared band, temperature dependence of the Hall number, the superfluid density, and a recent theoretical advance which permits the identification of the propagating degrees of freedom in a doped Mott insulator. Within this theory, we show how the wide range of phenomena which typify the normal state of the cuprates arises including T −linear resistivity.

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Optical properties ofLa2Cu1−xLi

Cited by 7 publications

References 10 publications

Mottness in high-temperature copper-oxide superconductors

Mottness in high-temperature copper-oxide superconductors

Hidden charge-2eboson: Experimental consequences for doped Mott insulators

Colloquium: Identifying the propagating charge modes in doped Mott insulators

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