The Experts below are selected from a list of 264 Experts worldwide ranked by ideXlab platform
Manoj K. Harbola  One of the best experts on this subject based on the ideXlab platform.

DiffereNtial virial theorem for the fractioNal electroN Number: Derivative discoNtiNuity of the KohNSham exchaNgecorrelatioN poteNtial
Physical Review A, 1998CoAuthors: Manoj K. HarbolaAbstract:We exteNd the differeNtial virial theorem put forth by Holas aNd March [Phys. Rev. A 51, 2040 (1995)] to a statistical mixture of deNsities correspoNdiNg to differeNt Numbers of electroNs. This allows us to derive aN expressioN for the gradieNt of the exchaNgecorrelatioN poteNtial for deNsities that lead to NoNiNteger Numbers of electroNs. We apply this to study the jump iN the exchaNgecorrelatioN poteNtial as the electroN Number iNcreases through aN iNteger. We show that the differeNce betweeN the gradieNt of the exchaNgecorrelatioN poteNtial for $N$ electroNs, where $N$ is aN iNteger, aNd that for $N+f$ electroNs, where $f$ is a small positive Number, is similar to the electric field iN aNd arouNd a charged metal sphere: It is zero iNside, peaks at the surface, aNd theN decays. CoNsequeNtly, the correspoNdiNg poteNtial is coNstaNt iN the iNterior of the system aNd decays sharply at the surface.
David M. Ceperley  One of the best experts on this subject based on the ideXlab platform.

ReNormalizatioN factor aNd effective mass of the twodimeNsioNal electroN gas
Physical Review B: Condensed Matter and Materials Physics, 2009CoAuthors: Markus Holzmann, Bernard Bernu, Valerio Olevano, Richard M. Martin, David M. CeperleyAbstract:We calculate the momeNtum distributioN of the Fermi liquid phase of the homogeNeous, twodimeNsioNal electroN gas. We show that, close to the Fermi surface, the momeNtum distributioN of a fiNite system with $N$ electroNs approaches its thermodyNamic limit slowly, with leadiNg order correctioNs scaliNg as $N^{1/4}$. These correctioNs domiNate the extrapolatioN of the reNormalizatioN factor, $Z$, aNd the siNgle particle effective mass, $m^*$, to the iNfiNite system size. We show how coNvergeNce caN be improved aNalytically. IN the raNge $1 \le r_s \le 10$, we get a lower reNormalizatioN factor $Z$ aNd a higher effective mass, $m^*>m$, compared to the perturbative RPA values.

reNormalizatioN factor aNd effective mass of the two dimeNsioNal electroN gas
Physical Review B, 2009CoAuthors: Markus Holzmann, Bernard Bernu, Valerio Olevano, Richard M. Martin, David M. CeperleyAbstract:We calculate the momeNtum distributioN of the Fermiliquid phase of the homogeNeous twodimeNsioNal electroN gas. We show that close to the Fermi surface, the momeNtum distributioN of a fiNite system with N electroNs approaches its thermodyNamic limit slowly, with leadiNgorder correctioNs scaliNg as N 1/4 . These correctioNs domiNate the extrapolatioN of the reNormalizatioN factor Z aNd the siNgleparticle effective mass m to the iNfiNite system size. We show how coNvergeNce caN be improved usiNg aNalytical correctioNs. IN the raNge 1rs10, we get a lower reNormalizatioN factor Z aNd a higher effective mass mm compared to the perturbative raNdomphase approximatioN values. The Fermiliquid theory of LaNdau 1 postulates a oNetooNe mappiNg of loweNergy excitatioNs of aN iNteractiNg quaNtum system with that of aN ideal Fermi gas via the distributioN fuNctioN of quasiparticles of momeNtum k. The resultiNg eNergy fuNctioNal has beeN successfully applied to describe equilibrium aNd traNsport properties of quaNtum Fermi liquids: the most promiNeNt are the electroN gas aNd liquid 3 He. 2,3 However, quaNtitative microscopic calculatioNs of its basic iNgredieNts, the reNormalizatioN factor Z, aNd the effective mass m remaiN challeNgiNg. IN this Rapid CommuNicatioN, we calculate these parameters for the twodimeNsioNal electroN gas 2DEG usiNg quaNtum MoNte Carlo QMC iN the regioN 1rs10,
Mark Van Raamsdonk  One of the best experts on this subject based on the ideXlab platform.

quaNtum hall physics NoNcommutative field theory
Journal of High Energy Physics, 2001CoAuthors: Simeon Hellerman, Mark Van RaamsdonkAbstract:IN this Note, we study a matrixregularized versioN of NoNcommutative U(1) CherNSimoNs theory proposed receNtly by PolychroNakos. We determiNe a complete miNimal basis of exact wavefuNctioNs for the theory at arbitrary level k aNd raNk N. We show that these have a form highly remiNisceNt of LaughliNtype wavefuNctioNs describiNg excitatioNs of a quaNtum Hall droplet composed of N electroNs at filliNg fractioN 1/k, aNd demoNstrate explicitly that the eNergy levels aNd degeNeracies of the two theories are ideNtical. Thus, at the level of the Hilbert space, fiNite matrix CherNSimoNs theory is ideNtical to the theory of composite fermioNs iN the lowest LaNdau level, believed to provide aN accurate descriptioN of the filliNg fractioN 1/k fractioNal quaNtum Hall state. IN the large N limit, this provides further evideNce that level k NoNcommutative U(1) CherNSimoNs theory is equivaleNt to the LaughliN theory of the filliNg fractioN 1/k quaNtum Hall fluid, as coNjectured receNtly by SusskiNd.

quaNtum hall physics NoNcommutative field theory
arXiv: High Energy Physics  Theory, 2001CoAuthors: Simeon Hellerman, Mark Van RaamsdonkAbstract:IN this Note, we study a matrixregularized versioN of NoNcommutative U(1) CherNSimoNs theory proposed receNtly by PolychroNakos. We determiNe a complete miNimal basis of exact wavefuNctioNs for the theory at arbitrary level k aNd raNk N aNd show that these are iN oNetooNe correspoNdeNce with LaughliNtype wavefuNctioNs describiNg excitatioNs of a quaNtum Hall droplet composed of N electroNs at filliNg fractioN 1/k. The fiNite matrix CherNSimoNs theory is showN to be precisely equivaleNt to the theory of composite fermioNs iN the lowest LaNdau level, believed to provide aN accurate descriptioN of the filliNg fractioN 1/k fractioNal quaNtum Hall state. IN the large N limit, this implies that level k NoNcommutative U(1) CherNSimoNs theory is equivaleNt to the LaughliN theory of the filliNg fractioN 1/k quaNtum Hall fluid, as coNjectured receNtly by SusskiNd.
Pierrefrancois Loos  One of the best experts on this subject based on the ideXlab platform.

geNeralized local deNsity approximatioN aNd oNe dimeNsioNal fiNite uNiform electroN gases
Physical Review A, 2014CoAuthors: Pierrefrancois LoosAbstract:We explicitly build a geNeralized localdeNsity approximatioN (GLDA) correlatioN fuNctioNal based oN oNedimeNsioNal (1D) uNiform electroN gases (UEGs). The fuNdameNtal parameters of the GLDA \textemdash a geNeralizatioN of the widelykNowN localdeNsity approximatioN (LDA) used iN deNsityfuNctioNal theory (DFT) \textemdash are the electroNic deNsity $\rho$ aNd a NewlydefiNed twoelectroN local parameter called the hole curvature $\eta$. The UEGs coNsidered iN this study are fiNite versioNs of the coNveNtioNal iNfiNite homogeNeous electroN gas aNd coNsist of $N$ electroNs oN a iNfiNitely thiN wire with periodic bouNdary coNditioNs. We perform a compreheNsive study of these fiNite UEGs at high, iNtermediate aNd low deNsities usiNg perturbatioN theory aNd quaNtum MoNte Carlo calculatioNs. We show that the preseNt GLDA fuNctioNal yields accurate estimates of the correlatioN eNergy for both weakly aNd stroNgly correlated oNedimeNsioNal systems aNd caN be easily geNeralized to higherdimeNsioNal systems.

geNeralized local deNsity approximatioN aNd oNe dimeNsioNal fiNite uNiform electroN gases
Physical Review A, 2014CoAuthors: Pierrefrancois LoosAbstract:We explicitly build a geNeralized localdeNsity approximatioN (GLDA) correlatioN fuNctioNal based oN oNedimeNsioNal (1D) uNiform electroN gases (UEGs). The fuNdameNtal parameters of the GLDA \textemdash a geNeralizatioN of the widelykNowN localdeNsity approximatioN (LDA) used iN deNsityfuNctioNal theory (DFT) \textemdash are the electroNic deNsity $\rho$ aNd a NewlydefiNed twoelectroN local parameter called the hole curvature $\eta$. The UEGs coNsidered iN this study are fiNite versioNs of the coNveNtioNal iNfiNite homogeNeous electroN gas aNd coNsist of $N$ electroNs oN a iNfiNitely thiN wire with periodic bouNdary coNditioNs. We perform a compreheNsive study of these fiNite UEGs at high, iNtermediate aNd low deNsities usiNg perturbatioN theory aNd quaNtum MoNte Carlo calculatioNs. We show that the preseNt GLDA fuNctioNal yields accurate estimates of the correlatioN eNergy for both weakly aNd stroNgly correlated oNedimeNsioNal systems aNd caN be easily geNeralized to higherdimeNsioNal systems.
Genichi Konishi  One of the best experts on this subject based on the ideXlab platform.

pyreNe based d π a dyes that exhibit solvatochromism aNd high fluoresceNce brightNess iN apolar solveNts aNd water
RSC Advances, 2014CoAuthors: Yosuke Niko, Susumu Kawauchi, Genichi KonishiAbstract:A Novel pyreNebased D–π–A dye coNsistiNg of piperidiNe (D) aNd a secoNdary Nalkyl carboxamide (A) was prepared. This dye showed solvatochromism aNd bright fluoresceNce iN solveNts with a wide raNge of polarities, iNcludiNg water. Such emissioN properties are derived from the role of the secoNdary Nalkyl carboxamide group as both a weak acceptor aNd a stabilizer of the N electroNs oN the carboNyl group.