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Symmetry invariants and classes of quasiparticles in magnetically ordered systems having weak spin-orbit coupling.
Nat Commun
November 2024
Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing, China.
Symmetry invariants of a group specify the classes of quasiparticles, namely the classes of projective irreducible co-representations in systems having that symmetry. More symmetry invariants exist in discrete point groups than the full rotation group O(3), leading to new quasiparticles restricted to lattices that do not have any counterpart in a vacuum. We focus on the fermionic quasiparticle excitations under "spin-space group" symmetries, applicable to materials where long-range magnetic order and itinerant electrons coexist.
View Article and Find Full Text PDFA multi-orbital Hund's rules-based ionic Hamiltonian for transition metal atoms: high-order equation of motion method approach and Kondo resonances.
J Phys Condens Matter
September 2024
Departamento Física Teórica de la Materia Condensada, Condensed MatterPhysics Center (IFIMAC) University Autónoma de Madrid, E-28049 Madrid, Spain.
A multi-orbital ionic Hamiltonian is presented to analyze the many-body properties of the d-transition metal atoms. This Hamiltonian considers all the atomic states obeying the first Hund's rule and also includes all orbital degeneracy, as well as the interaction of the atom with a metal. We analyze the solution of this ionic Hamiltonian by means of the equation of Motion method up to the fourth order,, in the atom-metal interaction.
View Article and Find Full Text PDFHomotopy, symmetry, and non-Hermitian band topology.
Rep Prog Phys
July 2024
Department of Physics, Stockholm University, AlbaNova University Center, 106 91 Stockholm, Sweden.
Non-Hermitian matrices are ubiquitous in the description of nature ranging from classical dissipative systems, including optical, electrical, and mechanical metamaterials, to scattering of waves and open quantum many-body systems. Seminal line-gap and point-gap classifications of non-Hermitian systems using K-theory have deepened the understanding of many physical phenomena. However, ample systems remain beyond this description; reference points and lines do not in general distinguish whether multiple non-Hermitian bands exhibit intriguing exceptional points, spectral braids and crossings.
View Article and Find Full Text PDFSize Isn't Everything: Geometric Tuning in Polycyclic Aromatic Hydrocarbons and Its Implications for Carbon Nanodots.
J Phys Chem A
March 2024
Queensland Micro- and Nanotechnology Centre, Griffith University, Nathan, Queensland 4111, Australia.
Recent developments in light-emitting carbon nanodots and molecular organic semiconductors have seen renewed interest in the properties of polycyclic aromatic hydrocarbons (PAHs) as a family. The networks of delocalized π electrons in sp-hybridized carbon grant PAHs light-emissive properties right across the visible spectrum. However, the mechanistic understanding of their emission energy has been limited due to the ground state-focused methods of determination.
View Article and Find Full Text PDFTopology of Conical Intersection Seams and the Geometric Phase.
J Phys Chem A
March 2024
Department of Chemistry and Industrial Chemistry, University of Pisa, v. G. Moruzzi 13, Pisa 56126, Italy.
In this paper, we demonstrate two topological properties of crossing seams, that is, the sets of points in the -dimensional space of nuclear coordinates where two electronic eigenstates are degenerate. We shall examine the typical case of states of the same spin with accidental degeneracies, whereby the crossing seam is of dimension - 2. The first property we demonstrate is that a crossing seam has no boundary, therefore, it must either extend asymptotically to infinite values of one or more coordinates or wrap on itself.
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