Preparation and Properties of PbF<sub>2</sub>-AlF<sub>3</sub>Glass

Kanamori, T.; Shibata, Shuichi; Mitachi, Seiko; Manabe, Toyotaka

doi:10.1143/jjap.19.l90

Cited by 46 publications

(64 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In our discussion, we closely follow the standard description of its electronic eigenstates as a complex doublet. [19,20] We are not discussing the symmetry of the JT Hamiltonian in real space, which implicitly assumes the octahedral O h point group. Nevertheless, we take advantage of the effective form by using the r i matrices in which the orbital doublet represents a basis set.…”

Section: Comparison Of the Counterpartsmentioning

confidence: 99%

Analogies between Jahn–Teller and Rashba spin physics

Stroppa

Barone

Sante

et al. 2016

Int J of Quantum Chemistry

View full text Add to dashboard Cite

In developing physical theories, analogical reasoning has been found to be very powerful, as attested by a number of important historical examples. An analogy between two apparently different phenomena, once established, allows one to transfer information and bring new concepts from one phenomenon to the other. Here, we discuss an important analogy between two widely different physical problems, namely, the Jahn-Teller distortion in molecular physics and the Rashba spin splitting in condensed matter physics. By exploring their conceptual and mathematical features and by searching for the counterparts between them, we examine the orbital texture in Jahn-Teller systems, as the counterpart of the spin texture of the Rashba physics, and put forward a possible way of experimentally detecting the orbital texture. Finally, we discuss the analogy by comparing the coexistence of linear Rashba 1 Dresselhaus effects and Jahn-Teller problems for specific symmetries, which allow for nontrivial spin and orbital textures, respectively. K E Y W O R D SJahn-Teller, orbital ordering, Rashba/Dresselhaus, spin-orbit, spin texture | I N T R O D U C T I O NReasoning in terms of analogies has been a powerful tool for developing new theories in mathematics and physics. Important historical examples in physics include Maxwell's application of fluid mechanics to formulate the theory of electromagnetism [1] and de Broglie's postulation of matter waves from the wave-particle duality of light quanta, [2] to name a few.Recently, it has been recognized that photonics is useful for mimicking other physical systems observed in astrophysics and hydrodynamics.[3]A formal analogy, often represented mathematically, occurs when the same relations hold for different systems despite no material similarity between them. [4] Analogies between different physical problems allow one to transfer information and bring new concepts from one phenomenon to the other. Analogies on conceptual level are also important in understanding the same physics behind two seemingly unrelated phenomena, as found for Jahn-Teller (JT) distortion [5] in discrete molecules and charge density wave formation in low-dimensional metals. [6] In this work, we show an important analogy between widely different problems, namely, the JT distortion [5] in molecular physics and the Rashba spin splitting [7][8][9] in condensed matter physics. Although the two phenomena differ in their physical context, we establish a formal mathematical mapping between them, explore their conceptual features, and search for the counterparts between them. As a natural extension, we define in the JT theory the orbital texture, as the counterpart of the spin texture in spin physics, and propose a possible way of detecting it experimentally. Furthermore, we discuss the analogy | J A H N-TELLER DISTORT I ONWe begin our discussion with the JT distortion. When two potential surfaces of a given system are degenerate (or nearly degenerate) at some point R 0 in the nuclear coordinate space R, is also c...

show abstract

Section: Comparison Of the Counterpartsmentioning

confidence: 99%

Analogies between Jahn–Teller and Rashba spin physics

Stroppa

Barone

Sante

et al. 2016

Int J of Quantum Chemistry

View full text Add to dashboard Cite

show abstract

“…This requires a strong electronphonon coupling in the model, which is the so-called JT coupling. 54 There are two phonon modes which strongly couple with e g orbital degrees of freedom. 55,56 In this work, lattice degrees of freedom are treated in a classical or addiabatic approximation, that is, kinetic energy of phonons is neglected.…”

Section: B Jahn-teller Couplingmentioning

confidence: 99%

Ordering and fluctuation of orbital and lattice distortion in perovskite manganese oxides

Motome

Imada

1999

Phys. Rev. B

View full text Add to dashboard Cite

Roles of orbital and lattice degrees of freedom in strongly correlated systems are investigated to understand electronic properties of perovskite Mn oxides such as La1−xSrxMnO3. An extended double-exchange model containing Coulomb interaction, doubly degenerate orbitals and Jahn-Teller coupling is derived under full polarization of spins with two-dimensional anisotropy. Quantum fluctuation effects of Coulomb interaction and orbital degrees of freedom are investigated by using the quantum Monte Carlo method. In undoped states, it is crucial to consider both the Coulomb interaction and the Jahn-Teller coupling in reproducing characteristic hierarchy of energy scales among charge, orbital-lattice and spin degrees of freedom in experiments. Our numerical results quantitatively reproduce the charge gap amplitude as well as the stabilization energy and the amplitude of the cooperative Jahn-Teller distortion in undoped compounds. Upon doping of carriers, in the absence of the Jahn-Teller distortion, critical enhancement of both charge compressibility and orbital correlation length is found with decreasing doping concentration. These are discussed as origins of strong incoherence in charge dynamics. With the Jahn-Teller coupling in the doped region, collapse of the Jahn-Teller distortion and instability to phase separation are obtained and favorably compared with experiments. These provide a possible way to understand the complicated properties of lightly doped manganites.

show abstract

“…In the following discussion, we denote the F atom at the longest, intermediate and shortest distances from a central Cu atom as F l, F m and F s, respectively. The distortion is attributed to a cooperative Jahn-Teller effect (Kanamori, 1960), and the directions of the displacements of the F(2) atoms alternate along the c axis, doubling the c period of the cubic perovskite structure. A refinement of the structure was recently performed by Tanaka, Konishi & Marumo (1977) and large negative peaks were found around the Cu atom on the final difference Fourier map, which seemed to indicate the distribution of the hole on the Cu 2+ ion in an octahedral field distorted by the Jahn-Teller effect.…”

Section: Introductionmentioning

confidence: 99%

Electron-density distribution in crystals of KCuF₃ with Jahn–Teller distortion

Tanaka¹,

Konishi²,

Marumo³

1979

Acta Crystallogr Sect B

View full text Add to dashboard Cite

The electron-density distribution in crystals of K+[CuFa] -has been investigated on the basis of X-ray intensity data collected by diffractometry at room temperature. The crystal has a distorted perovskite structure, containing Cu 2+ ions at pseudo-tetragonally deformed octahedral sites. On the deformation-density map, positive peaks were observed on the longest Cu-F bonds and negative peaks on the shortest Cu-F near the Cu 2+ ion. When aspherical scattering factors were used for Cu 2+ by assuming the hole of the d shell on the dx2_ y2 orbital, the difference Fourier map showed large positive peaks on the Cu-F bonds with intermediate length, though the positive and negative peaks on the longest and shortest bonds disappeared. The observed electron density is well explained if we assume that the hole occupies the orbital given by sin (tp/2)d 2 -cos (~0/2)dx2_y2. The most plausible value of cos (~0/2) after the least-squares fit was 0.976 (17). The experimental density distribution of the 3d electrons in the 3dy orbitals was obtained, revealing well the origin of the deformation-density maps.

show abstract

Preparation and Properties of PbF₂-AlF₃Glass

Cited by 46 publications

References 0 publications

Analogies between Jahn–Teller and Rashba spin physics

Analogies between Jahn–Teller and Rashba spin physics

Ordering and fluctuation of orbital and lattice distortion in perovskite manganese oxides

Electron-density distribution in crystals of KCuF₃ with Jahn–Teller distortion

Contact Info

Product

Resources

About

Preparation and Properties of PbF2-AlF3Glass

Cited by 46 publications

References 0 publications

Analogies between Jahn–Teller and Rashba spin physics

Analogies between Jahn–Teller and Rashba spin physics

Ordering and fluctuation of orbital and lattice distortion in perovskite manganese oxides

Electron-density distribution in crystals of KCuF3 with Jahn–Teller distortion

Contact Info

Product

Resources

About

Preparation and Properties of PbF₂-AlF₃Glass

Electron-density distribution in crystals of KCuF₃ with Jahn–Teller distortion