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We calculate superfluid density for a dirty d-wave superconductor. The effects of impurity scattering are treated within the self-consistent t-matrix approximation, in weak-coupling BCS theory. Working from a realistic tight-binding…

Superconductivity · Physics 2018-06-20 N. R. Lee-Hone , J. S. Dodge , D. M. Broun

We present a method to compute the density of states induced by N non magnetic impurities in a d-wave superconductor, in the unitary limit of very strong scatering centers. For frequencies very small as compared to the superconducting gap…

Strongly Correlated Electrons · Physics 2009-10-31 Catherine Pepin , Patrick A. Lee

We consider the statistics of the scattering coefficient S of a chaotic microwave cavity coupled to a single port. We remove the non-universal effects of the coupling from the experimental S data using the radiation impedance obtained…

Chaotic Dynamics · Physics 2007-05-23 Sameer Hemmady , Xing Zheng , Thomas M. Antonsen , Edward Ott , Steven M. Anlage

We derive a theory of superfluidity for a dilute Fermi gas that is valid when scattering resonances are present. The treatment of a resonance in many-body atomic physics requires a novel mean-field approach starting from an unconventional…

Soft Condensed Matter · Physics 2009-11-07 S. J. J. M. F. Kokkelmans , J. N. Milstein , M. L. Chiofalo , R. Walser , M. J. Holland

Motivated by the experimental measurement of electrical and hall conductivity, thermopower and Nernst effect, we calculate the longitudinal and transverse electrical and heat transport in graphene in the presence of unitary scatterers as…

Materials Science · Physics 2015-05-19 Vincent Ugarte , Vivek Aji , C. M. Varma

A general theory is developed to describe graphene with arbitrary number of isolated impurities. The theory provides a basis for an efficient numerical analysis of the charge transport and is applied to calculate the minimal conductivity of…

Mesoscale and Nanoscale Physics · Physics 2011-03-28 P. M. Ostrovsky , M. Titov , S. Bera , I. V. Gornyi , A. D. Mirlin

Theory of scattering by many small bodies is developed under various assumptions concerning the ratio $\frac{a}{d}$, where $a$ is the characteristic dimension of a small body and $d$ is the distance between neighboring bodies $d =…

Mathematical Physics · Physics 2009-11-13 A. G. Ramm

It is shown that clustering of charged impurities on graphene can suppress their contribution to the resistivity by a large factor of about the number of impurities per cluster, while leaving the density dependence unchanged. If the cluster…

Mesoscale and Nanoscale Physics · Physics 2009-05-25 M. I. Katsnelson , F. Guinea , A. K. Geim

We propose that the energy-dependent spatial modulation of the local density of states seen by Hoffman, et al [hoff2] is due to the scattering interference of quasiparticles. In this paper we present the general theoretical basis for such…

Superconductivity · Physics 2009-11-07 Qiang-Hua Wang , Dung-Hai Lee

We consider the effect of nonmagnetic and magnetic impurities on the superheating field $H_s$ in a type-II superconductor. We solved the Eilenberger equations, which take into account the nonlinear pairbreaking of Meissner screening…

Superconductivity · Physics 2012-02-27 F. Pei-Jen Lin , A. Gurevich

In this work, we put forward the theoretical foundation toward thermodynamics of quantum impurity systems measurable in experiments. The theoretical developments involve the identifications on two types of thermodynamic entanglement…

Quantum Physics · Physics 2021-06-24 Hong Gong , Yao Wang , Hou-Dao Zhang , Rui-Xue Xu , Xiao Zheng , YiJing Yan

We solve a popular effective Hamiltonian of competing $d$-density wave and d-wave superconductivity orders self-consistently at the mean-field level for a wide range of doping and temperature. The theory predicts a temperature dependence of…

Strongly Correlated Electrons · Physics 2007-05-23 Congjun Wu , W. Vincent Liu

We theoretically study the appearance of bound states around impurities in a superconducting bilayer. We focus our attention on $s$-wave pairing, which includes unconventional odd-parity states permitted by the layer degree of freedom.…

Superconductivity · Physics 2023-04-20 Yufei Zhu , Nico A. Hackner , P. M. R. Brydon

The question of anomalous transport due to a band of impurity states in unconventional superconductors is discussed. In general, the bound state energies are not in midgap, even in the unitarity limit. This implies that, generically, the…

Superconductivity · Physics 2009-10-30 Robert Joynt

As applied to the numerical simulation of electron transport and scattering processes in semiconductors an efficient model describing the scattering of electrons by the ionized impurities is proposed. On the example of GaAs at 77 and 300 K…

General Physics · Physics 2014-03-07 Dmitry Pozdnyakov

We show that by computing the electron-impurity scattering rate at the first order via Fermi's golden rule, and assuming that the localized impurity potential is of Yukawa form, one obtains a wave vector transfer distribution which is…

Mesoscale and Nanoscale Physics · Physics 2018-11-14 Gionni Marchetti

We present a simple calculational scheme for superconducting properties under magnetic fields. A combination of an approximate analytic solution with a free energy functional in the quasiclassical theory provides a wide use formalism for…

Superconductivity · Physics 2009-11-10 Hiroaki Kusunose

The microwave surface impedance measurements on cuprate superconductors provide the crucial information of the effect of the impurity scattering on the quasiparticle transport, however, the full understanding of the effect of the impurity…

Superconductivity · Physics 2023-10-04 Minghuan Zeng , Xiang Li , Yongjun Wang , Shiping Feng

The pseudogap phenomena in the cuprate superconductors requires a theory beyond the mean field BCS level. A natural candidate is to include strong pairing fluctuations, and treat the two-particle and single particle Green's functions…

Superconductivity · Physics 2007-05-23 Qijin Chen , J. R. Schrieffer

Formulas are derived for solutions of many-body wave scattering problems by small particles in the case of acoustically soft, hard, and impedance particles embedded in an inhomogeneous medium. The case of transmission (interface) boundary…

Mathematical Physics · Physics 2012-09-03 A. G. Ramm