Infrared properties of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">YBa</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Cu</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3

Azrak, A. El; Nahoum, R.; Bontemps, N.; Guilloux-Viry, M.; Thivet, C.; Перрин, А.; Labdi, S.; Li, Z. Z.; Raffy, H.

doi:10.1103/physrevb.49.9846

Cited by 68 publications

(46 citation statements)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Also m =m t in Fig. 11(b) qualitatively agrees with experimental ndings 24,27,1]. For quantitative comparison we should note that by lowering T to experimentally investigated ones we expect the increase of m at low !.…”

Section: A Single Hole Mobilitysupporting

confidence: 87%

See 1 more Smart Citation

Charge dynamics in the planart-Jmodel

Jaklič

Prelovšek

1995

Phys. Rev. B

View full text Add to dashboard Cite

Section: A Single Hole Mobilitysupporting

confidence: 87%

“…; T regime we can remarkably well describe the behavior of with a simple law 1 = 2 (! + T); 0:1; 3: (27) This is just one of the forms proposed within the MFL theory 14]. It should be also noted that obtained is very close to the experimental one 0: 11 27,1].…”

Section: A Single Hole Mobilitysupporting

confidence: 74%

Charge dynamics in the planart-Jmodel

Jaklič

Prelovšek

1995

Phys. Rev. B

View full text Add to dashboard Cite

“…Furthermore, the tail seems to have an approximate power law σ ∝ (−iω) α with the exponent close to α = 2/3 [16] in agreement with experiments [17,18]. At low frequency, optical conductivity is Lorentzian-like at optimal doping with ω/T scaling.…”

supporting

confidence: 77%

Optical conductivity and kinetic energy of the superconducting state: A cluster dynamical mean field study

Haule

Kotliar

2007

Europhys. Lett.

View full text Add to dashboard Cite

We study the evolution of the optical conductivity in the t-J model with temperature and doping using the Extended Dynamical Cluster Approximation. The cluster approach results in an optical mass which is doping independent near half filling. The transition to the superconducting state in the overdoped regime is characterized by a decrease in the hole kinetic energy, in contrast to the underdoped side where kinetic energy of holes increases upon superfluid condensation. In both regimes, the optical conductivity displays anomalous transfers of spectral weight over a broad frequency region. PACS numbers: 71.27.+a,71.30.+h How superconductivity emerges from a strongly correlated normal state is one of the most important problems in the field of strongly correlated electron systems. This problem has received intensive attention of the past two decades spurred by the discovery of high temperature superconductivity. A large number of experimental probes have been applied to this problem, but there is, at this point, no theoretical concensus on the basic physics or the minimal model required to describe this rich phenomena.In recent years, significant progress has been achieved through the development of the Dynamical Mean Field Theory (DMFT) [1] and its generalizations [2,3,4]. This approach, allows us to isolate which aspects of the physics of a given material can be understood within a local approach, and what is the minimal cluster size required to describe certain phenomena. For example it has been shown that a single site method describes well the physics of the finite temperature Mott transition in materials such as V 2 O 3 in a broad region of temperature and pressures around the Mott endpoint, while the interplay of Peierls and Mott instabilities in materials such as VO 2 and Ti 2 O 3 requires a two site link as a minimal reference frame [5]. There is an evidence that the Hubbard or the t-J model treated by a four site cluster DMFT approach captures many essential aspects of the physics of the cuprates such as its phase diagram [2,6,7], the variation of the spectral function and the electron lifetime along the Fermi surface [8,9,10]. This approach systematizes and extends the early slave boson treatments of the cuprates which now appear as restricted low energy parameterizations in a more general approach.One of the most powerful bulk probes of carrier dynamics is optical conductivity. Previous studies of optics in t-J and Hubbard model [11,12] have allowed an accurate description of many experimentally observed anomalies found in the cuprate superconductors at high temperatures, around or above the normal temperature. In this letter we use the cluster extension of DMFT, which allows us to study the evolution of the optical conductivity in the most interesting temperature regime around the transition from anomalous metal to d-wave superconductor. As a result, we gain several new insights and we show theoretically that: a) while optical spectral weight is reduced in the underdoped side, the optical mass of t...

show abstract

“…Such behavior is characteristic of a marginal Fermi liquid 3 . In some data 4 , this trend persists up to the plasma frequency (1 eV).…”

mentioning

confidence: 83%

High-frequency behavior of the infrared conductivity of cuprates

Norman

Chubukov

2006

Phys. Rev. B

View full text Add to dashboard Cite

We analyze recent infrared conductivity data in the normal state of the cuprates. We find that the high frequency behavior, which has been suggested as evidence for quantum critical scaling, is generally characteristic of electrons interacting with a broad spectrum of bosons. From explicit calculations, we find a frequency exponent for the modulus of the conductivity, and a phase angle, in good agreement with experiment. The data indicate an upper cut-off of the boson spectrum of order 300 meV. This implies that the bosons are of electronic origin rather than phonons.PACS numbers: 74.25.Gz, Infrared conductivity has proven to be a powerful probe of the electronic degrees of freedom of the cuprates 1 . It has the advantage of being bulk sensitive, and yields useful information over a wide range of energies. Of particular interest is a generalized Drude analysis of the data, which provides information on the optical analogue of the fermion self-energy 2 . Most data indicate a linear frequency dependence of the imaginary part of the optical self-energy (i.e., 1/τ ) up to very high energies. Such behavior is characteristic of a marginal Fermi liquid 3 . In some data 4 , this trend persists up to the plasma frequency (1 eV). Recently, van der Marel and collaborators5 have obtained somewhat different behavior at high frequencies for 1/τ , showing a tendency to saturate 6 above 0.5 eV. They have also found that in a wide frequency range (125 meV to 900 meV), both real (σ 1 ) and imaginary (σ 2 ) parts of the optical conductivity are described by the same power law (ω α ) with an exponent -0.65 (and an associated phase angle φ = tan −1 (σ 2 /σ 1 ) of 60 • ). The same behavior was observed earlier by El Azrak et al.4 . The exponent and phase angle in this frequency range are roughly temperature independent, and have been suggested to be indicative of quantum critical scaling 5 .In this paper, we analyze the frequency dependent optical data using a model based on electrons interacting with a broad spectrum of bosons. We find that the essential results mentioned above are captured by this analysis, indicating that the observed behavior is generic for interacting electrons. We show that the power-law behavior of the conductivity σ is not indicative of quantumcritical scaling, but rather a consequence of the flattening of the fermionic self-energy at high frequencies. Based on our analysis, we find evidence for an upper cut-off scale of the boson spectrum of about 300 meV in the cuprates. This is consistent with the assumed value in the marginal Fermi liquid phenomenology 3 , and also with the measured width of the spin-fluctuation spectrum 7 .The Kubo expression for the optical conductivity can be written as 8

show abstract

Infrared properties ofYBa2Cu3
A. El Azrak
¹
,
R. Nahoum
²
,
N. Bontemps³
et al.

Cited by 68 publications

References 39 publications

Charge dynamics in the planart-Jmodel

Charge dynamics in the planart-Jmodel

Optical conductivity and kinetic energy of the superconducting state: A cluster dynamical mean field study

High-frequency behavior of the infrared conductivity of cuprates

Contact Info

Product

Resources

About

Infrared properties ofYBa2Cu3A. El Azrak1, R. Nahoum2, N. Bontemps3 et al.

Cited by 68 publications

References 39 publications

Charge dynamics in the planart-Jmodel

Charge dynamics in the planart-Jmodel

Optical conductivity and kinetic energy of the superconducting state: A cluster dynamical mean field study

High-frequency behavior of the infrared conductivity of cuprates

Contact Info

Product

Resources

About

Infrared properties ofYBa2Cu3
A. El Azrak
¹
,
R. Nahoum
²
,
N. Bontemps³
et al.