FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2023985823> ?p ?o ?g. }

• W2023985823 endingPage "583" @default.
• W2023985823 startingPage "563" @default.
• W2023985823 abstract "ABSTRACT: We review recent studies on the energetics of fermions confined to a two dimensional square lattice, and the relations of these results to mean-field approaches to the t−J model. Our goal has been to compute the kinetic energy of the Fermi sea of the spinless fermions for any value of the (1) fermion concentration, (2) magnetic flux, and (3) frustration. For the unfrustrated case, we confirm that the ground state energy, χ(Φ), is a minimum for Φ=π(1−δ), which corresponds to one flux quantum per spinless fermion. We then proceed to do a systematic study of frustration effects, coming from longer range couplings, which modify the picture obtained for the unfrustrated case. The frustrating influence of the kinetic energy of the holes (e.g., by breaking magnetic bonds and suppressing the long-range order present in the undoped systems) is the main focus of this work. We find that, in general, E(Φ) always exhibits cusp-like minima which position moves linearly as a function of the fermion density x. Frustration can induce a competition between different local minima. By first considering the local minima for one particle only, we can understand most of the qualitative features of E(Φ). These local minima occur at simple rational fractions of Φ0, and when the flux slightly deviates from these values a one-particle Landau level structure develops. It is precisely such a spectrum that generates a family of cusps that “move away” from the original flux value as x is increased. Every cusp corresponds to an integer number of filled Landau levels, and the minimum energy cusp corresponds to the one level case. Furthermore, we use perturbation theory, valid for low fermion density x, in order to analyze quantitatively the behavior of the cusp-like energy minima; which originate from the Landau level structure when the flux is close to a rational value. If the flux is slightly away from a given rational value each of the q subbands generates a secondary Landau level structure. We have derived a t2−t3 phase diagram indicating regions of similar behavior (i.e., adiabatic continuations can be performed with each region, preserving the E(Φ) structure) and the boundaries between them. We have studied several points belonging to those boundaries and found that anomalous behavior, (e.g., cancelation of the k2 term in the dispersion relation) induced by frustration, can occur." @default.
• W2023985823 created "2016-06-24" @default.
• W2023985823 creator A5042711934 @default.
• W2023985823 creator A5048800312 @default.
• W2023985823 creator A5074976504 @default.
• W2023985823 date "1992-03-01" @default.
• W2023985823 modified "2023-09-25" @default.
• W2023985823 title "FILLING LANDAU LEVELS: FERMI SEA GROUND STATE ENERGY, COMPETING INTERACTIONS AND MARGINAL DISPERSIONS IN GENERALIZED FLUX PHASES" @default.
• W2023985823 doi "https://doi.org/10.1142/s0217979292000347" @default.
• W2023985823 hasPublicationYear "1992" @default.
• W2023985823 type Work @default.
• W2023985823 sameAs 2023985823 @default.
• W2023985823 citedByCount "0" @default.
• W2023985823 crossrefType "journal-article" @default.
• W2023985823 hasAuthorship W2023985823A5042711934 @default.
• W2023985823 hasAuthorship W2023985823A5048800312 @default.
• W2023985823 hasAuthorship W2023985823A5074976504 @default.
• W2023985823 hasConcept C121332964 @default.
• W2023985823 hasConcept C121864883 @default.
• W2023985823 hasConcept C186370098 @default.
• W2023985823 hasConcept C186769553 @default.
• W2023985823 hasConcept C191897082 @default.
• W2023985823 hasConcept C192562407 @default.
• W2023985823 hasConcept C26873012 @default.
• W2023985823 hasConcept C51675196 @default.
• W2023985823 hasConcept C54101563 @default.
• W2023985823 hasConcept C55519028 @default.
• W2023985823 hasConcept C62520636 @default.
• W2023985823 hasConcept C68709404 @default.
• W2023985823 hasConcept C69523127 @default.
• W2023985823 hasConceptScore W2023985823C121332964 @default.
• W2023985823 hasConceptScore W2023985823C121864883 @default.
• W2023985823 hasConceptScore W2023985823C186370098 @default.
• W2023985823 hasConceptScore W2023985823C186769553 @default.
• W2023985823 hasConceptScore W2023985823C191897082 @default.
• W2023985823 hasConceptScore W2023985823C192562407 @default.
• W2023985823 hasConceptScore W2023985823C26873012 @default.
• W2023985823 hasConceptScore W2023985823C51675196 @default.
• W2023985823 hasConceptScore W2023985823C54101563 @default.
• W2023985823 hasConceptScore W2023985823C55519028 @default.
• W2023985823 hasConceptScore W2023985823C62520636 @default.
• W2023985823 hasConceptScore W2023985823C68709404 @default.
• W2023985823 hasConceptScore W2023985823C69523127 @default.
• W2023985823 hasIssue "05n06" @default.
• W2023985823 hasLocation W20239858231 @default.
• W2023985823 hasOpenAccess W2023985823 @default.
• W2023985823 hasPrimaryLocation W20239858231 @default.
• W2023985823 hasRelatedWork W1888906257 @default.
• W2023985823 hasRelatedWork W1965803188 @default.
• W2023985823 hasRelatedWork W1987619349 @default.
• W2023985823 hasRelatedWork W1992777312 @default.
• W2023985823 hasRelatedWork W1998447716 @default.
• W2023985823 hasRelatedWork W2002034199 @default.
• W2023985823 hasRelatedWork W2467317310 @default.
• W2023985823 hasRelatedWork W2735285350 @default.
• W2023985823 hasRelatedWork W3099748708 @default.
• W2023985823 hasRelatedWork W3124088632 @default.
• W2023985823 hasVolume "06" @default.
• W2023985823 isParatext "false" @default.
• W2023985823 isRetracted "false" @default.
• W2023985823 magId "2023985823" @default.
• W2023985823 workType "article" @default.