scispace - formally typeset
Search or ask a question
Topic

Valency

About: Valency is a research topic. Over the lifetime, 1632 publications have been published within this topic receiving 26141 citations.


Papers
More filters
Journal ArticleDOI
TL;DR: In this paper, the effective Hamiltonian Heff up to terms of the fourth order in the parameter V/U, where V is the hybridization interaction intensity and U is the intra-atom Coulomb repulsion strength.
Abstract: For the periodic Anderson model in the strong correlation regime, we construct the effective Hamiltonian Heff up to terms of the fourth order in the parameter V/U, where V is the hybridization interaction intensity and U is the intra-atom Coulomb repulsion strength. This Hamiltonian contains interactions inducing both magnetic ordering and Cooper instability under conditions of a mixed valency of rare-earth ions. Based on numerical calculations, we obtain information about the dependences of the effective interaction parameters on the distance between crystal lattice sites. We demonstrate that realizing exchange interactions corresponds to a strongly frustrated system of localized spin moments and facilitates the suppression of the antiferromagnetic order parameter with a possible transition to the state of a quantum spin liquid. It is essential that among the terms in Heff inducing the transition to the superconductivity phase, there are terms resulting in the d-type symmetry of the superconductivity order parameter; such a symmetry is realized in many heavy-fermion compounds.

11 citations

Journal ArticleDOI
TL;DR: It is proved that all such graphs are 2-arc-transitive and the full automorphism groups are almost simple with the only exception the graphs being the complete bipartite graphs, and a complete classification is given of such graphs with soluble edge stabilizers.

11 citations

Journal ArticleDOI
TL;DR: In this article , the characterization of the crystal structure of niobium oxide and a metal-organic framework is investigated, and the information function is used to compute entropies by building these structures with degree-based indices.
Abstract: Entropy is a thermodynamic function in chemistry that reflects the randomness and disorder of molecules in a particular system or process based on the number of alternative configurations accessible to them. Distance-based entropy is used to solve a variety of difficulties in biology, chemical graph theory, organic and inorganic chemistry, and other fields. In this article, the characterization of the crystal structure of niobium oxide and a metal–organic framework is investigated. We also use the information function to compute entropies by building these structures with degree-based indices including the K-Banhatti indices, the first redefined Zagreb index, the second redefined Zagreb index, the third redefined Zagreb index, and the atom-bond sum connectivity index.

11 citations


Network Information
Related Topics (5)
Phase transition
82.8K papers, 1.6M citations
69% related
Ground state
70K papers, 1.5M citations
68% related
Monolayer
47.3K papers, 1.5M citations
67% related
Band gap
86.8K papers, 2.2M citations
67% related
Ab initio
57.3K papers, 1.6M citations
67% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202377
2022190
202119
202029
201937
201829