165,101 research outputs found
Improved Lieb-Oxford exchange-correlation inequality with gradient correction
No full textWe prove a Lieb-Oxford-type inequality on the indirect part of the Coulomb energy of a general many-particle quantum state, with a lower constant than the original statement but involving an additional gradient correction. The result is similar to a recent inequality of Benguria et al. [Int. J. Quantum Chem. 112, 1579 (2012)], except that the correction term is purely local, which is more usual in density functional theory. In an appendix, we discuss the connection between the indirect energy and the classical Jellium energy for constant densities. We show that they differ by an explicit shift due to the long range of the Coulomb potential.nonnonouirechercheInternationa
J-J-J Model with Long-Range Lieb-Mattis Interaction
No full textStimulated by the two-dimensional frustrated Heisenberg antiferromagnet with first-, second-, and third-neighbor couplings (J-J-J model) we consider a corresponding three-parameter model with a long-range antiferromagnetic Lieb-Mattis interaction. This model can be solved exactly and leads to a better understanding of the role of frustration in the J-J-J model. We calculate the correlations in the groundstate and consider their finite size behavior. Furthermore we present the full thermodynamic phase diagram. We find the possibility of a disordered phase at T=0
[copy, heading:] "Dich hab ich lieb." [right side:] v. J. W. Kalliwoda
No full textOben links Signaturschild "J. N|o. 25.". - Im Autograph dynamische Angaben mit Bleistift, in der Abschrift mit Rötel. - Datierung auf Grund des verwendeten Industriepapiers, das für eine spätere Entstehung sprichtJohann Wenzel Kalliwoda [ermittelt]Diplomatischer Titel: [title page:] Dich hab ich lieb!Weiterer diplomatischer Titel: [copy, heading:] "Dich hab ich lieb." [right side:] v. J. W. KalliwodaQuelle: Autograph manuscript, Manuscript copyBesetzungshinweis: V, p
Checkerboards, stripes, and corner energies in spin models with competing interactions
No full textWe study the zero-temperature phase diagram of Ising spin systems in two dimensions in the presence of competing interactions: long-range antiferromagnetic and nearest-neighbor ferromagnetic of strength J. We first introduce the notion of a “corner energy,” which shows, when the antiferromagnetic interaction decays faster than the fourth power of the distance, that a striped state is favored with respect to a checkerboard state when J is close to Jc, the transition to the ferromagnetic state, i.e., when the length scales of the uniformly magnetized domains become large. Next, we perform detailed analytic computations on the energies of the striped and checkerboard states in the cases of antiferromagnetic interactions with exponential decay and with power-law decay r−p, p>2, which depend on the Manhattan distance instead of the Euclidean distance. We prove that the striped phase is always favored compared to the checkerboard phase when the scale of the ground-state structure is very large. This happens for J≲Jc if p>3, and for J sufficiently large if 2<p⩽3. Many of our considerations involving rigorous bounds carry over to dimensions greater than two and to more general short-range ferromagnetic interactions
Ising models with long-range dipolar and short range ferromagnetic interactions
No full textWe study the ground state of a d-dimensional Ising model with both long-range (dipole-like) and nearest-neighbor ferromagnetic (FM) interactions. The long-range interaction is equal to r−p, p>d, while the FM interaction has strength J. If p>d+1 and J is large enough the ground state is FM, while if d1 the ground state has a series of transitions from an antiferromagnetic state of period 2 to 2h-periodic states of blocks of sizes h with alternating sign, the size h growing when the FM interaction strength J is increased (a generalization of this result to the case 0<p⩽1 is also discussed). In d⩾2 we prove, for d<p⩽d+1, that the dominant asymptotic behavior of the ground-state energy agrees for large J with that obtained from a periodic striped state conjectured to be the true ground state. The geometry of contours in the ground state is discussed
LIEB-THIRRING INEQUALITIES FOR AN EFFECTIVE HAMILTONIAN OF BILAYER GRAPHENE
No full textCombining the methods of Cuenin [7] and Borichev-Golinskii-Kupin [4], [5], we obtain the so-called Lieb-Thirring inequalities for non-selfadjoint perturbations of an effective Hamiltonian for bilayer graphene
[Report to Chief J. E. Curry, by an unknown author #1]
No full textReport to Chief J. E. Curry, by an unknown author. The report contains a list of officers who gave depositions to the United States Attorney
[Report to Chief J. E. Curry, by an unknown author #2]
No full textReport to Chief J. E. Curry, by an unknown author. The report contains a list of officers who gave depositions to the United States Attorney
The Brascamp–Lieb inequalities: recent developments
No full textsummary:We discuss recent progress on issues surrounding the Brascamp–Lieb inequalities
Lora Lieb, stage actress
No full textLora Lieb, stage actressTo order a reproduction, inquire about permissions, or for information about prices see:
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Please cite the Order NumberScanned at 600ppi with an Epson 20000 flatbed scanner. Image then rotated, cropped, level-adjusted, and sharpened using Photoshop CS3. Converted to a JPEG2000 image upon ingest into CONTENTdm
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