Spectral-weight transfer: Breakdown of low-energy-scale sum rules in correlated systems

1993 ◽  
Vol 48 (6) ◽  
pp. 3916-3926 ◽  
Author(s):  
M. B. J. Meinders ◽  
H. Eskes ◽  
G. A. Sawatzky
2000 ◽  
Vol 78 (5-6) ◽  
pp. 483-493 ◽  
Author(s):  
J G Naeini ◽  
J C Irwin ◽  
T Sasagawa ◽  
Y Togawa ◽  
K Kishio

We report the results of Raman scattering experiments on single crystals of La2–xSrxCuO4 (La214) as a function of temperature and doping. In underdoped compounds low-energy B1g spectral weight is depleted in association with the opening of a pseudogap on regions of the Fermi surface located near (±π, 0) and (0, ±π).The magnitude of the depletion increases with decreasing doping, and in the most underdoped samples, with decreasing temperature.The spectral weight that is lost at low energies (ω [Formula: see text] 800 cm–1) is transferred to the higher energy region normally occupied by multimagnon scattering. From the normal-state B2g spectra we have determined the scattering rate Γ(ω,T) of qausiparticles located near the diagonal directions in k-space. In underdoped compounds, Γ(ω,T) is suppressed at low temperatures for energies less than Eg(x) [Formula: see text] 800 cm–1. The doping dependence of both the two-magnon scattering and the scattering rate suppression suggest that the pseudogap is characterized by an energy scale Eg ~ J, where J is the antiferromagnetic super-exchange energy. Comparison with the results from other techniques provides a consistent picture of the pseudogap in La214.PACS Nos.: 74.25.Gz, 74.72.Dn, 78.30.Er


2014 ◽  
Vol 113 (24) ◽  
Author(s):  
E. G. C. P. van Loon ◽  
H. Hafermann ◽  
A. I. Lichtenstein ◽  
A. N. Rubtsov ◽  
M. I. Katsnelson

Author(s):  
Philip Phillips

Central to the normal state of cuprate high-temperature superconductors is the collapse of the pseudo-gap, briefly reviewed here, at a critical point and the subsequent onset of the strange metal characterized by a resistivity that scales linearly with temperature. A possible clue to the resolution of this problem is the inter-relation between two facts: (i) a robust theory of T -linear resistivity resulting from quantum criticality requires an additional length scale outside the standard one-parameter scaling scenario and (ii) breaking the Landau correspondence between the Fermi gas and an interacting system with short-range repulsions requires non-fermionic degrees. We show that a low-energy theory of the Hubbard model that correctly incorporates dynamical spectral weight transfer has the extra degrees of freedom needed to describe this physics. The degrees of freedom that mix into the lower band as a result of dynamical spectral weight transfer are shown to either decouple beyond a critical doping, thereby signalling Mottness collapse, or unbind above a critical temperature, yielding strange metal behaviour characterized by T -linear resistivity.


2000 ◽  
Vol 61 (19) ◽  
pp. 12799-12809 ◽  
Author(s):  
Th. Pruschke ◽  
R. Bulla ◽  
M. Jarrell

1969 ◽  
Vol 11 (1) ◽  
pp. 115-126 ◽  
Author(s):  
N.M. Queen ◽  
S. Leeman ◽  
F.E. Yeomans

1996 ◽  
Vol 53 (5) ◽  
pp. 2362-2370 ◽  
Author(s):  
B. Ananthanarayan ◽  
D. Toublan ◽  
G. Wanders
Keyword(s):  

1996 ◽  
Vol 10 (27) ◽  
pp. 3727-3736
Author(s):  
H.C. LEE

The electron spectral weight of doped Mott insulators based on the two-dimensional slave boson gauge field theory is studied. The vertex correction with static gauge field is calculated in the second order perturbation theory. The vertex correction is found to be singular at low energy and requires non-perturbative treatments.


2019 ◽  
Vol 2019 ◽  
pp. 1-6 ◽  
Author(s):  
Zun-Yan Di ◽  
Zhi-Gang Wang

In this article, we construct the color singlet-singlet-singlet interpolating current with IJP=3/21- to study the DD¯⁎K system through QCD sum rules approach. In calculations, we consider the contributions of the vacuum condensates up to dimension-16 and employ the formula μ=MX/Y/Z2-2Mc2 to choose the optimal energy scale of the QCD spectral density. The numerical result MZ=4.71-0.11+0.19 GeV indicates that there exists a resonance state Z lying above the DD¯⁎K threshold to saturate the QCD sum rules. This resonance state Z may be found by focusing on the channel J/ψπK of the decay B→J/ψππK in the future.


2006 ◽  
Vol 21 (12) ◽  
pp. 971-977 ◽  
Author(s):  
C. A. DE S. PIRES

We assume that lepton number is explicitly broken at low energy scale (M) in the framework of the Higgs triplet (Δ) model. The scalar sector of the model is developed considering the particular assumption M = vΔ ≈ eV . We show that such assumption infers a particular mass spectrum for the scalars that compose the triplet and cause a decoupling of these scalars from those that compose the standard scalar doublet.


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