Matches in SemOpenAlex for { <https://semopenalex.org/work/W4308244911> ?p ?o ?g. }
Showing items 1 to 53 of
53
with 100 items per page.
- W4308244911 abstract "We demonstrate that the three-dimensional $e_g$ orbital Hubbard model can be generalized to arbitrary dimension $d$, and that the form of the result is determined uniquely by the requirements that (i) the two-fold degeneracy of the $e_g$ orbital be retained, and (ii) the cubic lattice be turned into a hypercubic lattice. While the local Coulomb interaction $U$ is invariant for each basis of orthogonal orbitals, the form of the kinetic energy depends on the orbital basis and takes the most symmetric form for the so-called complex-orbital basis. Characteristically, with respect to this basis, the model has two hopping channels, one that is orbital-flavor conserving, and a second one that is orbital-flavor non-conserving. We show that the noninteracting electronic structure consists of two nondegenerate bands of plane-wave real-orbital single-particle states for which the orbital depends on the wave vector. Due to the latter feature each band is unpolarized at any filling, and has a non-Gaussian density of states at $d=infty$. The textit{orbital liquid} state is obtained by filling these two bands up to the same Fermi energy. We investigate the $e_g$ orbital Hubbard model in the limit $dtoinfty$, treating the on-site Coulomb interaction $U$ within the Gutzwiller approximation, thus determining the correlation energy of the orbital liquid and the (disordered) para-orbital states. (...) We show that the orbital liquid is the ground state everywhere in the $(n,U)$ phase diagram except close to half-filling at sufficiently large $U$, where ferro-orbital order with real orbitals occupied is favored. The latter feature is shown to be specific for $d=infty$, being of mathematical nature due to the exponential tails in the density of states." @default.
- W4308244911 created "2022-11-09" @default.
- W4308244911 creator A5051880856 @default.
- W4308244911 creator A5080352361 @default.
- W4308244911 date "2022-11-03" @default.
- W4308244911 modified "2023-10-18" @default.
- W4308244911 title "Orbital liquid in the $e_g$ orbital Hubbard model in $d=infty$ dimensions" @default.
- W4308244911 doi "https://doi.org/10.48550/arxiv.2211.01884" @default.
- W4308244911 hasPublicationYear "2022" @default.
- W4308244911 type Work @default.
- W4308244911 citedByCount "0" @default.
- W4308244911 crossrefType "posted-content" @default.
- W4308244911 hasAuthorship W4308244911A5051880856 @default.
- W4308244911 hasAuthorship W4308244911A5080352361 @default.
- W4308244911 hasBestOaLocation W43082449111 @default.
- W4308244911 hasConcept C106074065 @default.
- W4308244911 hasConcept C121332964 @default.
- W4308244911 hasConcept C147120987 @default.
- W4308244911 hasConcept C189394030 @default.
- W4308244911 hasConcept C26873012 @default.
- W4308244911 hasConcept C34607147 @default.
- W4308244911 hasConcept C54101563 @default.
- W4308244911 hasConcept C62520636 @default.
- W4308244911 hasConcept C69523127 @default.
- W4308244911 hasConcept C7878110 @default.
- W4308244911 hasConcept C9342510 @default.
- W4308244911 hasConceptScore W4308244911C106074065 @default.
- W4308244911 hasConceptScore W4308244911C121332964 @default.
- W4308244911 hasConceptScore W4308244911C147120987 @default.
- W4308244911 hasConceptScore W4308244911C189394030 @default.
- W4308244911 hasConceptScore W4308244911C26873012 @default.
- W4308244911 hasConceptScore W4308244911C34607147 @default.
- W4308244911 hasConceptScore W4308244911C54101563 @default.
- W4308244911 hasConceptScore W4308244911C62520636 @default.
- W4308244911 hasConceptScore W4308244911C69523127 @default.
- W4308244911 hasConceptScore W4308244911C7878110 @default.
- W4308244911 hasConceptScore W4308244911C9342510 @default.
- W4308244911 hasLocation W43082449111 @default.
- W4308244911 hasOpenAccess W4308244911 @default.
- W4308244911 hasPrimaryLocation W43082449111 @default.
- W4308244911 hasRelatedWork W2003757275 @default.
- W4308244911 hasRelatedWork W2028215783 @default.
- W4308244911 hasRelatedWork W2035661120 @default.
- W4308244911 hasRelatedWork W2037273086 @default.
- W4308244911 hasRelatedWork W2050617948 @default.
- W4308244911 hasRelatedWork W2051509264 @default.
- W4308244911 hasRelatedWork W2073419425 @default.
- W4308244911 hasRelatedWork W2083114561 @default.
- W4308244911 hasRelatedWork W2167629609 @default.
- W4308244911 hasRelatedWork W3186750392 @default.
- W4308244911 isParatext "false" @default.
- W4308244911 isRetracted "false" @default.
- W4308244911 workType "article" @default.