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We present a novel approach to the analysis of the normal state in-plane $\sigma_{ab}$ and out-of-plane $\sigma_{c}$ conductivities of anisotropic layered crystals such as oxygen deficient $YBa_{2}Cu_{3}O_{x}$. It can be shown that the…

Strongly Correlated Electrons · Physics 2007-05-23 C. C. Almasan , E. Cimpoiasu , G. A. Levin , H. Zheng , A. P. Paulikas , B. W. Veal

We show that the resistive anisotropy of an anisotropic medium is determined by the ratio of the phase coherence lengths. In layered crystals in which the interlayer transport is incoherent, the out-of-plane phase coherence length is fixed…

Superconductivity · Physics 2007-05-23 G. A. Levin , C. C. Almasan

A novel phenomenological approach to the analysis of the conductivities of incoherent layered crystals is presented. It is based on the fundamental relationship between the resistive anisotropy $\sigma_{ab}/\sigma_c$ and the ratio of the…

Strongly Correlated Electrons · Physics 2009-11-10 George A. Levin

We present a generalized Drude analysis of the in-plane optical conductivity $\sigma_{ab}$($T$,$\omega$) in cuprates taking into account the effects of in-plane anisotropy. A simple ansatz for the scattering rate $\Gamma$($T$,$\omega$),…

Superconductivity · Physics 2007-09-11 N. E. Hussey , J. C. Alexander , R. A. Cooper

The optical properties of single crystals of YBa_2Cu_3O_{6+x} have been examined along the c axis above and below the critical temperature (T_c) for a wide range of oxygen dopings. The temperature dependence of the optically-determined…

Superconductivity · Physics 2007-05-23 C. C. Homes , S. V. Dordevic , D. A. Bonn , R. Liang , W. N. Hardy , T. Timusk

Imaginary part of the microwave conductivity \sigma''(T<T_c) and the resistivity \rho(T)=1/\sigma(T>T_c) along (\sigma_{ab}'' and \rho_{ab}) and perpendicular to (\sigma_c'' and \rho_c) cuprate ab-planes of YBa_2Cu_3O_{7-x} crystal were…

Superconductivity · Physics 2007-05-23 M. R. Trunin , Yu. A. Nefyodov

We report systematic, high-precision measurements of the low-T (down to 70 mK) thermal conductivity \kappa of YBa_{2}Cu_{3}O_{y}, La_{2-x}Sr_{x}CuO_{4} and Bi_{2}Sr_{2}CaCu_{2}O_{8+\delta}. Careful examinations of the Zn- and hole-doping…

Superconductivity · Physics 2009-11-11 X. F. Sun , S. Ono , Yasushi Abe , Seiki Komiya , Kouji Segawa , Yoichi Ando

The criterion for the maximum incoherent conductivity $\sigma_{c,max}$ in the anisotropic system is shown to be $\sigma_{c,max} \sigma_{ab}=C (e^2/h)^2 n_{2D}$, where $n_{2D}$ is the two-dimensional electron density, and $C$ is a numerical…

Strongly Correlated Electrons · Physics 2007-05-23 Misha Turlakov

We have investigated the in-plane thermal conductivity $\kappa_{ab}(T,H)$ of large single crystals of optimally oxygen-doped (Y$_{1-x}$,Sm$_{x}$)Ba$_{2}$Cu$_{3}$O$_{7-\delta}$ ($x$=0, 0.1, 0.2 and 1.0) and…

Superconductivity · Physics 2009-11-11 M. Matsukawa , H. Noto , H. Furusawa , X. Yao

Anisotropy, thermal and quantum fluctuations and their dependence on dopant concentration appear to be present in all cuprate superconductors, interwoven with the microscopic mechanisms responsible for superconductivity. Here we review…

Superconductivity · Physics 2009-11-10 T. Schneider , H. Keller

We calculate the c-axis infrared conductivity $\sigma_c(\omega)$ in underdoped cuprate superconductors for spinfluctuation exchange scattering within the CuO$_2$-planes including a phenomenological d-wave pseudogap of amplitude $E_g$. For…

Superconductivity · Physics 2009-10-31 T. Dahm , D. Manske , L. Tewordt

The phase diagram of the cuprate superconductors has posed a formidable scientific challenge for more than three decades. This challenge is perhaps best exemplified by the need to understand the normal-state charge transport as the system…

Strongly Correlated Electrons · Physics 2020-08-19 D. Pelc , M. J. Veit , C. J. Dorow , Y. Ge , N. Barišić , M. Greven

We study the in-plane resistivity anisotropy in the spin-glass phase of the high-$T_{c}$ cuprates, on the basis of holes moving in a spiral spin background. This picture follows from analysis of the extended $t-J$ model with Coulomb…

Strongly Correlated Electrons · Physics 2007-05-23 Valeri N. Kotov , Oleg P. Sushkov

There is a consensus that superconductivity (SC) in cuprates is two-dimensional. It is widely believed that the long-range phase coherence appears at T_{c} due to the Josephson coupling between SC CuO_{2} (bi-, tri-, >...)layers. Recent…

Superconductivity · Physics 2009-10-31 A. Mourachkine

The doping dependence of the themopower, in-plane resistivity rho_ab(T), out-of-plane resistivity rho_c(T), and susceptibility has been systematically measured for high-quality single crystal Bi2Sr2Ca2Cu3O10+delta. We found that the…

Superconductivity · Physics 2009-11-07 Takenori Fujii , Ichiro Terasaki , Takao Watanabe , Azusa Matsuda

In unconventional superconductors such as cuprates and iron pnictides and chalcogenides, phase stiffness - a measure of the energy cost associated with superconducting phase variations - is on the same order of magnitude as the strength of…

A random lattice model with dilute interlayer bonds of density $p$ is proposed to describe the underdoped high--$T_c$ cuprates. We show analytically via an appropriate perturbation expansion and verify independently by numerical scaling of…

Disordered Systems and Neural Networks · Physics 2008-02-03 S. N. Evangelou , Shi-Jie Xiong , Ding-Yu Xing , E. N. Economou

The optical conductivity along and perpendicular to the planes is calculated assuming strong k-dependence of the scattering rate and the c-axis hopping parameter. Closed analytical expressions for the optical conductivy along these…

Superconductivity · Physics 2009-10-31 D. van der Marel

The phase diagram of order parameters for pairing and phase coherence in hole-doped cuprates is discussed. By examining carefully some recent inelastic neutron scattering data obtained on hole-doped cuprates and heavy fermion compound…

Superconductivity · Physics 2007-05-23 A. Mourachkine

It is shown that a strong intraplanar incoherent scattering can effectively block the interplanar coherent tunneling between the weakly coupled planes of the highly anisotropic but clean (intrinsic) materials such as the optimally doped…

Superconductivity · Physics 2009-10-30 N. Kumar , T. P. Pareek , A. M. Jayannavar
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