Jahn–Teller Trajectories

Judd, B. R.

doi:10.1002/9780470142813.ch3

Cited by 9 publications

(11 citation statements)

References 27 publications

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“…However the situation with t 2g electrons in case of strong SOC might be very different from the e⊗E case, just because of a strong spin-orbit entanglement introduced by SOC. And indeed, it is known that for d 1 configuration in case of infinitely strong SOC, where we are dealing with the j = 3/2 quartet, JT coupling to T 2 vibrations still survives [8,10]. The case of intermediate JT coupling, not considered in the previous literature, present special interest because real 4d and 5d systems usually belong to this category.…”

Section: Introductionmentioning

confidence: 98%

“…Such a strong interplay of electronic and lattice characteristics in the systems with spin-orbit entangled states should lead to a plethora of novel quantum phenomena, the analysis of which is now seems to be only at the initial stage. In this connection, let us note some early [2,[8][9][10] and several recent [11][12][13][14][15][16][17][18] papers, but particularly mention unduly rarely cited paper of K.D. Warren [19].…”

Section: Introductionmentioning

confidence: 99%

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Interplay of the Jahn--Teller Effect and Spin-Orbit Coupling: The Case of Trigonal Vibronic Modes

Streltsov,

Temnikov,

Kugel

et al. 2022

Preprint

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We study an interplay between the orbital degeneracy and spin-orbit coupling giving rise to spinorbital entangled states. As a specific example, we analyze the interaction of electrons occupying triply degenerate single-ion t2g levels with trigonal vibronic modes (the t ⊗ T problem). A more general problem of the electron-lattice interaction involving both tetragonal and trigonal vibrations is also considered. It is shown that the result of such interaction crucially depends on the occupation of t2g levels leading to either the suppression or enhancement of the Jahn-Teller effect by the spinorbit coupling.

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Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Interplay of the Jahn--Teller Effect and Spin-Orbit Coupling: The Case of Trigonal Vibronic Modes

Streltsov,

Temnikov,

Kugel

et al. 2022

Preprint

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“…Let r 1 denote the quadratic SO(3) invariant of sl(3, R)/so (3), r 1 (Q) = |Q| 2 = Q, and r 2 (Q) be the cubic. The latter may be obtained from the secular determinant of H JT (Q) [36], or as the totally symmetric SO(3) irrep 0 in the decomposition of the tensor product 2 ⊗ 2 ⊗ 2, since the cubic invariant is a homogeneous polynomial of third degree in the vibrational coordinates [30]. We provide a simple derivation of r 2 (Q) below.…”

Section: A Symmetry-adapted Coordinates and Orbit Spacesmentioning

confidence: 99%

“…Thus, SO(3)-adapted coordinates for the molecular displacements are given by Q = (3) rotations. They can be understood as Euler angles in the space of JT active distorted structures [30,55]. We employ the zyz convention for the parametrization of SO(3) elements,…”

Section: A Symmetry-adapted Coordinates and Orbit Spacesmentioning

confidence: 99%

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Continuous vibronic symmetries in Jahn–Teller models

Ribeiro

Yuen-Zhou

2018

J. Phys.: Condens. Matter

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Explorations of the consequences of the Jahn-Teller (JT) effect remain active in solid-state and chemical physics. In this topical review we revisit the class of JT models which exhibit continuous vibronic symmetries. A treatment of these systems is given in terms of their algebraic properties. In particular, the compact symmetric spaces corresponding to JT models carrying a vibronic Lie group action are identified, and their invariants used to reduce their adiabatic potential energy surfaces into orbit spaces of the corresponding Lie groups. Additionally, a general decomposition of the molecular motion into pseudorotational and radial components is given based on the behavior of the electronic adiabatic states under the corresponding motions. We also provide a simple proof that the electronic spectrum for the space of JT minimum-energy structures (trough) displays a universality predicted by the epikernel principle. This result is in turn used to prove the topological equivalence between bosonic (fermionic) JT troughs and real (quaternionic) projective spaces. The relevance of the class of systems studied here for the more common case of JT systems with only discrete point group symmetry, and for generic asymmetric molecular systems with conical intersections involving more than two states is likewise explored. Finally, we show that JT models with continuous symmetries present the simplest models of conical intersections among an arbitrary number of electronic state crossings, and outline how this information may be utilized to obtain additional insight into generic dynamics near conical intersections.

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Effect of linear coupling on vibronic energy levels and transition intensities in the Jahn-Teller T⊗τ problem

Ghelichkhani

Grant

1991

Chemical Physics Letters

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Jahn–Teller Trajectories

Cited by 9 publications

References 27 publications

Interplay of the Jahn--Teller Effect and Spin-Orbit Coupling: The Case of Trigonal Vibronic Modes

Interplay of the Jahn--Teller Effect and Spin-Orbit Coupling: The Case of Trigonal Vibronic Modes

Continuous vibronic symmetries in Jahn–Teller models

Effect of linear coupling on vibronic energy levels and transition intensities in the Jahn-Teller T⊗τ problem

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