Magnetic Response of Nonmagnetic Impurities in Cuprates

Prelovšek, P.; Sega, I.

doi:10.1103/physrevlett.93.207202

Cited by 6 publications

(7 citation statements)

References 25 publications

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“…The obtained induced moment is slightly smaller than the experimental value eff ϳ 1 B in YBa 2 Cu 3 O 6.66 ͑T c Ϸ 60 K͒. 29 In the present calculation, a simple relation ⌬ ϰ Q 0 predicted by previous theoretical studies [24][25][26][27] approximately holds. The obtained eff in the present study is much larger and consistent with experiments.…”

Section: B Static Spin Susceptibilitiessupporting

confidence: 59%

“…By assuming an "extended impurity potential", they explained that the local susceptibility is enhanced in proportion to χ Q [∝ T −1 ] of the host, reflecting the lack of translational invariance. Similar analysis based on a phenomenological AF fluctuation model was done [27]. The staggered susceptibilities is also enhanced due to the change of the local DOS (Friedel oscillation) [28].…”

Section: A Previous Theoretical Studiesmentioning

confidence: 93%

“…Similar analysis based on a phenomenological AF fluctuation model was done. 27 The staggered susceptibilities is also enhanced due to the change of the local DOS ͑Friedel oscillation͒. 28 However, the RPA could not explain the enhancement of local and staggered susceptibilities when the ͑␦-functional͒ onsite impurity potential, which corresponds to Zn or Li substitution in HTSCs, is assumed.…”

Section: A Previous Theoretical Studiesmentioning

confidence: 98%

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Effect of a nonmagnetic impurity in a nearly antiferromagnetic Fermi liquid: Magnetic correlations and transport phenomena

Kontani

Ohno

2006

Phys. Rev. B

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In nearly antiferromagnetic ͑AF͒ metals such as high-T c superconductors ͑HTSCs͒, a single nonmagnetic impurity frequently causes nontrivial widespread change of the electronic states. To elucidate this longstanding issue, we study a Hubbard model with a strong onsite impurity potential based on an improved fluctuation-exchange ͑FLEX͒ approximation, which we call the GV I -FLEX method. This model corresponds to the HTSC with dilute nonmagnetic impurity concentration. We find that ͑i͒ both local and staggered susceptibilities are strongly enhanced around the impurity. By this reason, ͑ii͒ the quasiparticle lifetime as well as the local density of states are strongly suppressed in a wide area around the impurity ͑like a Swiss cheese hole͒, which causes the "huge residual resistivity" beyond the s-wave unitary scattering limit. We stress that the excess quasiparticle damping rate caused by impurities has strong k-dependence due to non-s-wave scatterings induced by many-body effects, so the structure of the "hot spot/cold spot" in the host system persists against impurity doping. This result could be examined by the ARPES measurements. In addition, ͑iii͒ only a few percent of impurities can cause a "Kondo-like" upturn of resistivity ͑d / dT Ͻ 0͒ at low T when the system is very close to the AF quantum critical point. The results ͑i͒-͑iii͒ obtained in the present study, which cannot be derived by the simple FLEX approximation, naturally explain the main impurity effects in HTSCs. We also discuss the impurity effect in heavy fermion systems and organic superconductors.

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Section: B Static Spin Susceptibilitiessupporting

confidence: 59%

Section: A Previous Theoretical Studiesmentioning

confidence: 93%

Section: A Previous Theoretical Studiesmentioning

confidence: 98%

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Effect of a nonmagnetic impurity in a nearly antiferromagnetic Fermi liquid: Magnetic correlations and transport phenomena

Kontani

Ohno

2006

Phys. Rev. B

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“…The advantages of the FTLM and also its feasibility for the 2D t-J model are even more evident in quite numerous studies of spin and charge dynamics at T > 0 [7] which show good agreement with neutron scattering and NMR [19,[27][28][29], optical conductivity σ(ω) and resistivity ρ(T ) [30,31], Hall constant R H (T ) [32] and a general non-Fermi-liquid behavior of cuprates [29], as well as the puzzling strong influence of nonmagnetic impurities [33]. As an example of a transport quantity hardly accessible by other methods we present in Fig.1.4 the universal planar resistivity ρ(T ), as extracted from the dynamical conductivity σ(ω → 0) = 1/ρ, within the t-J model for different doping levels c h [31].…”

Section: Statical and Dynamical Quantities At T > 0: Applicationsmentioning

confidence: 75%

Ground State and Finite Temperature Lanczos Methods

Prelovšek

Bonča

2013

Springer Series in Solid-State Sciences

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111

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The present review will focus on recent development of exact-diagonalization (ED) methods that use Lanczos algorithm to transform large sparse matrices onto the tridiagonal form. We begin with a review of basic principles of the Lanczos method for computing ground-state static as well as dynamical properties. Next, generalization to finite-temperatures in the form of well established finitetemperature Lanczos method is described. The latter allows for the evaluation of temperatures T > 0 static and dynamic quantities within various correlated models. Several extensions and modification of the latter method introduced more recently are analysed. In particular, the low-temperature Lanczos method and the microcanonical Lanczos method, especially applicable within the high-T regime. In order to overcome the problems of exponentially growing Hilbert spaces that prevent ED calculations on larger lattices, different approaches based on Lanczos diagonalization within the reduced basis have been developed. In this context, recently developed method based on ED within a limited functional space is reviewed. Finally, we briefly discuss the real-time evolution of correlated systems far from equilibrium, which can be simulated using the ED and Lanczos-based methods, as well as approaches based on the diagonalization in a reduced basis.

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“…The analysis within the t-J model, as relevant for cuprates, is mostly based on the general memory-function approach and the equationsof-motion (EQM) method, The latter has been first applied to the t-J model to explain anomalous (MFL-type) properties of NS spectral function [18] and then extended to lowdoping regime [19] and SC [20]. Spin dynamical response χ q (ω) has been considered within analogous treatment to yield the overdamped mode in the NS and resonant peak dispersion in the SC state [21], the anomalous ω/T scaling in the underdoped regime [22], the influence of nonmagnetic impurities [23], the NFL-FL crossover in spin dynamics [24], and double dispersion of resonant peak [25]. The extracted knowledge on spin fluctuations is used as an input the theory of SC [26].…”

Section: Introductionmentioning

confidence: 99%

Spin fluctuations in cuprates as the key to high Tc

Prelovšek¹,

Sega²,

Ramšak³

et al. 2006

AIP Conference Proceedings

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Spin fluctuations represent the lowest established energy scale in cuprates and are crucial for the understanding of anomalous normal state properties and superconductivity in these materials [1]. The memory-function approach to the spin response in the t-J model is described. Combined with numerical results for small systems it is able to explain the anomalous scaling at low doping and the crossover to the Fermi-liquid-like behavior in overdoped systems. Within the superconducting phase the theory reproduces the resonant peak and its peculiar double dispersion. Such spin fluctuations are then used as the input for the theory of superconductivity within the t-J model, where we show that an important role is played also by the next-nearest-neighbour hopping parameter t ′ .

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Magnetic Response of Nonmagnetic Impurities in Cuprates

Cited by 6 publications

References 25 publications

Effect of a nonmagnetic impurity in a nearly antiferromagnetic Fermi liquid: Magnetic correlations and transport phenomena

Effect of a nonmagnetic impurity in a nearly antiferromagnetic Fermi liquid: Magnetic correlations and transport phenomena

Ground State and Finite Temperature Lanczos Methods

Spin fluctuations in cuprates as the key to high Tc

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