Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2007-02-05
Phys. Rev. B 76, p. 035109 (2007)
Physics
Condensed Matter
Strongly Correlated Electrons
7 figures, 5 tables
Scientific paper
10.1103/PhysRevB.76.035109
We show that a lattice formulation of density-functional theory (DFT), guided by renormalization-group concepts, can be used to obtain numerical predictions of energy gaps, spin-density profiles, critical exponents, sound velocities, surface energies and conformal anomalies of spatially inhomogeneous quantum spin chains. To this end we (i) cast the formalism of DFT in the notation of quantum-spin chains, to make the powerful methods and concepts developed in {\em ab initio} DFT available to workers in this field; (ii) explore to what extent simple local approximations in the spirit of the local-density approximation (LDA), can be used to predict critical exponents and conformal anomalies of quantum spin models; (iii) propose and explore various nonlocal approximations, depending on the size of the system, or on its average density in addition to the local density. These nonlocal functionals turn out to be superior to LDA functionals.
Alcaraz Francisco Castilho
Capelle Klaus
No associations
LandOfFree
Density-functional formulations for quantum chains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Density-functional formulations for quantum chains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Density-functional formulations for quantum chains will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-713855