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The Dynamical Cluster Approximation (DCA) is modified to include disorder. The DCA incorporates non-local corrections to local approximations such as the Coherent Potential Approximation (CPA) by mapping the lattice problem with disorder,…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Jarrell , H. R. Krishnamurthy

The single-site Korringa-Kohn-Rostoker Coherent Potential Approximation (KKR-CPA) ignores short range ordering present in disordered metallic systems. In this paper, we establish a new technique to fix this shortcoming by embedding an…

Materials Science · Physics 2020-08-26 Vishnu Raghuraman , Yang Wang , Michael Widom

While the coherent potential approximation (CPA) is the prevalent method for the study of disordered electronic systems, it fails to capture non-local correlations and Anderson localization. To incorporate such effects, we extend the dual…

Strongly Correlated Electrons · Physics 2013-05-08 H. Terletska , S. -X. Yang , Z. Y. Meng , J. Moreno , M. Jarrell

The coherent potential approximation, CPA, is a useful tool to treat systems with disorder. Cluster theories have been proposed to go beyond the translation invariant single-site CPA approximation and include some short range correlations.…

Condensed Matter · Physics 2009-10-31 C. I. Ventura , R. A. Barrio , .

The coherent potential approximation (CPA) is extended to describe satisfactorily the motion of particles in a random potential which is spatially correlated and smoothly varying. In contrast to existing cluster-CPA methods, the present…

Disordered Systems and Neural Networks · Physics 2009-10-20 Roland Zimmermann , Christoph Schindler

We introduce the Korringa-Kohn-Rostocker non-local coherent potential approximation (KKR-NLCPA) for describing the electronic structure of disordered systems. The KKR-NLCPA systematically provides a hierarchy of improvements upon the widely…

Materials Science · Physics 2009-11-07 D. A. Rowlands , J. B. Staunton , B. L. Gyorffy

We investigate the accuracy of the coherent potential approximation (CPA) for a one-dimensional array with nearest-neighbor interactions and a Gaussian distribution of fluctuations in the on-site potential. The CPA values of the integrated…

Disordered Systems and Neural Networks · Physics 2015-05-18 I. Avgin , D. L. Huber

We present the itinerant coherent-potential approximation(ICPA), an analytic, translationally invariant and tractable form of augmented-space-based, multiple-scattering theory in a single-site approximation for harmonic phonons in realistic…

Materials Science · Physics 2009-11-07 Subhradip Ghosh , Paul L. Leath , Morrel H. Cohen

A general method is proposed for calculating a fully k-dependent, continuous, and causal spectral function A(k,E) within the recently introduced nonlocal version of the coherent-potential approximation (NLCPA). The method involves the…

Materials Science · Physics 2009-11-11 G. M. Batt , D. A. Rowlands

The typical medium dynamical cluster approximation (TMDCA) is reformulated in the language of multiple scattering theory to make possible first principles calculations of the electronic structure of substitutionally disordered alloys…

Disordered Systems and Neural Networks · Physics 2017-04-28 H. Terletska , Y. Zhang , L. Chioncel , D. Vollhardt , M. Jarrell

Coherent potential approximation (CPA) has widely been used for studying residual resistivity of bulk alloys and electrical conductivity in inhomogeneous systems with structural disorder. Here we revisit the single-site CPA within the…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 M. Ye. Zhuravlev , A. V. Vedyayev , K. D. Belashchenko , E. Y. Tsymbal

For many years the Korringa-Kohn-Rostoker coherent-potential approximation (KKR-CPA) has been widely used to describe the electronic structure of disordered systems based upon a first-principles description of the crystal potential.…

Other Condensed Matter · Physics 2009-11-10 Derwyn A. Rowlands , Julie B. Staunton , Balazs L. Gyorffy , Ezio Bruno , Beniamino Ginatempo

A one-dimensional diagonal tight binding electronic system with correlated disorder is investigated. The correlation of the random potential is exponentially decaying with distance and its correlation length diverges as the concentration of…

Disordered Systems and Neural Networks · Physics 2009-11-11 I Avgin

A Coherent Potential Approximation is developed for s-wave and d-wave superconductivity in disordered systems. We show that the CPA formalism reproduces the standard pair-breaking formula, the self-consistent Born Approximation and the…

Superconductivity · Physics 2009-10-31 A. M. Martin , G. Litak , B. L. Gyorffy , J. F. Annett , K. I. Wysokinski

The method of electronic structure calculations for strongly correlated disordered materials is developed employing the basic idea of coherent potential approximation (CPA). Evolution of electronic structure and spin magnetic moment value…

Strongly Correlated Electrons · Physics 2014-02-28 M. A. Korotin , Z. V. Pchelkina , N. A. Skorikov , E. Z. Kurmaev , V. I. Anisimov

We recently introduced the dynamical cluster approximation(DCA), a new technique that includes short-ranged dynamical correlations in addition to the local dynamics of the dynamical mean field approximation while preserving causality. The…

Strongly Correlated Electrons · Physics 2009-10-31 M. H. Hettler , M. Mukherjee , M. Jarrell , H. R. Krishnamurthy

Recently the nonlocal coherent-potential approximation (NLCPA) has been introduced by Jarrell and Krishnamurthy for describing the electronic structure of substitutionally disordered systems. The NLCPA provides systematic corrections to the…

Materials Science · Physics 2009-11-11 D. A. Rowlands

We develop a cluster typical medium theory to study localization in disordered electronic systems. Our formalism is able to incorporate non-local correlations beyond the local typical medium theory in a systematic way. The cluster typical…

Disordered Systems and Neural Networks · Physics 2014-06-23 Chinedu E. Ekuma , Hanna Terletska , Zi Yang Meng , Juana Moreno , Mark Jarrell , Samiyeh Mahmoudian , Vladimir Dobrosavljevic

We present an ab-initio formalism for the calculation of transport properties in compositionally disordered systems within the framework of the Korringa-Kohn-Rostoker non-local coherent potential approximation. Our formalism is based upon…

Materials Science · Physics 2009-11-13 P. R. Tulip , J. B. Staunton , S. Lowitzer , D. Ködderitzsch , H. Ebert

We develop a Non-Crossing Approximation (NCA) for the effective cluster problem of the recently developed Dynamical Cluster Approximation (DCA). The DCA technique includes short-ranged correlations by mapping the lattice problem onto a…

Strongly Correlated Electrons · Physics 2009-10-31 Th. Maier , M. Jarrell , Th. Pruschke , J. Keller
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