NDLI: The influence of f-electron hopping on ground states and valence transitions in the extended Falicov-Kimball model

Content Provider	Springer Nature Link
Author	Farkašovský, Pavol Čenčariková, Hana
Copyright Year	2014
Abstract	The ground-state phase diagram of the extended Falicov-Kimball model with f-f electron hopping is studied numerically in the one-dimensional case. To identify the nature of ground states three complementary numerical methods are used, and namely, (i) the small-cluster exact-diagonalization method, (ii) the density-matrix-renormalization-group method (DMRG) and (iii) an approximate, but very accurate, numerical method based on the reduction of the Hilbert space. It is found that the physics of the Falicov-Kimball model found for the zero value of the f-electron hopping integral t f (including the existence of the devil’s staircase structure) persists also at finite values of t f . The critical values of t c f below which the physics of the Falicov-Kimball model dominates are calculated numerically and it is shown that they depend very strongly on the f-electron concentration n f and only very weakly on the Coulomb interaction. In particular, we have found that for strong Coulomb interactions the value of t c f rapidly increases from t c f ~ 0.003 found for n f = 1 / 4 up to relatively large t c f ~ 0.4 found for n f near the half-filled band case n f = 1 / 2. In addition, the complete picture of valence transitions is presented for non-zero t f and strong Coulomb interactions.
Starting Page	1
Ending Page	5
Page Count	5
File Format	PDF
ISSN	14346028
Journal	The European Physical Journal B
Volume Number	87
Issue Number	9
e-ISSN	14346036
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2014-09-16
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Solid State and Materials Condensed Matter Physics Physics Statistical Physics, Dynamical Systems and Complexity Fluid- and Aerodynamics Solid State Physics
Content Type	Text
Resource Type	Article
Subject	Electronic, Optical and Magnetic Materials Condensed Matter Physics

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