The Jahn‐Teller Effect in Layer Crystals

Lukiyanets, B. A.; Tovstyuk, K. D.; Boichuk, V. V.; Danilevich-Tovstyuk, K. K.

doi:10.1002/pssb.2221240228

Cited by 6 publications

(9 citation statements)

References 7 publications

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“…(18)). Therefore, it follows that equations (21), (22), and (25) are equivalent. When condition (25) is fulfilled then writing (16) we can limit ourselves to the first term of the sum.…”

Section: Model Of a Layered Crystal With Covalent Bridges And The Selmentioning

confidence: 99%

“…Conditions (21), (22), and (25) determine the limiting values of the wave vectors for the quasi-Bloch states. In the third part of this paper we will consider all basic parameters for the cross-rearrangement of the energy spectrum of the layered crystal with covalent bridges.…”

Section: Model Of a Layered Crystal With Covalent Bridges And The Selmentioning

confidence: 99%

“…Substituting Eq. (46) into expression (22) we have E À 4cl 2 cos 2 xd 2 ðE À e 0 À 2l 2 Re GðEÞÞ ðE À e 0 À 2l 2 Re GðEÞÞ 2 þ 4l 4 ðIm GðEÞÞ 2 ) 8cl 4 cos 2 xd 2 Im GðEÞ ðE À e 0 À 2l 2 Re GðEÞÞ 2 þ 4l 4 ðIm GðEÞÞ 2 :…”

Section: Cross-rearrangement Parameters Of the Energy Spectrum For A unclassified

“…The electron density of a layered crystal with one covalent bridge was presented in [22]. Energy states of a layered crystal with the concentration c of covalent bridges were considered in [20], using the average T-matrix approximation [23].…”

Section: Introductionmentioning

confidence: 99%

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One-Electron States in a Layered Crystal with Covalent Bridges

Bercha

Kharkhalis

Sznajder

2002

phys. stat. sol. (b)

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One-electron states in a layered crystal with chaotically placed covalent bridges have been calculated using the group decomposition of the Green's function with respect to the concentration of interacting dopants. The calculations have been based on the Fivaz's dispersion law for conduction electrons. It has been shown that a rearrangement of the conduction band takes place at a certain concentration of the covalent bridges (c ) c 0 ; c ( 1, where c 0 is the characteristic concentration larger than that of an isotropic crystal). After this rearrangement an anisotropic dopant band is formed. All parameters of this rearrangement have been found as well as the effective mass tensor components for the rearranged conduction band and for the created dopant band. It has been demonstrated that the interaction process leading to the formation of the covalent bridges can be a reason of the change of the anisotropy of the electric conductivity in a layered crystal. The density and the number of the quasi-Bloch states have been calculated in the created energy band. The number of these states increases with the increase of the dopant concentration. The possibility of dielectric-metal transition in intercalated layered crystals was analyzed.

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“…(18)). Therefore, it follows that equations (21), (22), and (25) are equivalent. When condition (25) is fulfilled then writing (16) we can limit ourselves to the first term of the sum.…”

Section: Model Of a Layered Crystal With Covalent Bridges And The Selmentioning

confidence: 99%

Section: Model Of a Layered Crystal With Covalent Bridges And The Selmentioning

confidence: 99%

Section: Cross-rearrangement Parameters Of the Energy Spectrum For A unclassified

Section: Introductionmentioning

confidence: 99%

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One-Electron States in a Layered Crystal with Covalent Bridges

Bercha

Kharkhalis

Sznajder

2002

phys. stat. sol. (b)

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“…As was mentioned in [3], the problem on the electron subsystem of intercalated LC may be described in the framework of a model of the Anderson type. Let us consider the ~~ I ) Zhovtneva 5, SU-274001 Chernovtsy, USSR.…”

Section: The Hamiltonian and The Average Occupation Number Of Intercamentioning

confidence: 99%

Charge Distribution of Electrons at Intercalated Atoms in Layer Crystals

Lukiyanets¹

1991

Physica Status Solidi (b)

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The charge distribution of electrons at intercalated atoms in a layer crystal is considered in the two-impurity model of the Anderson type. The dependence of this distribution on the Coulomb interaction between intercalants and on the electron mixing of the intercalate-intercalant system is analyzed.B PaMKaX flByXnPHMeCHOfi MOAeJIH THna MOAeJIH AHAepCOHa PaCCMaTpHBaeTCX 3aIIOJIHeHAe 3JIeK-TPOHaMH HHTepKaJIHpOBaHHbIX aTOMOB B CJIOHCTOM KpHCTaJIJIe. AHaJIH3MpyeTCX 3aBH3AMOCTb TaKOrO 3anOJIHeHHII OT BeJIHYHHbl KyJIOHOBCKOrO B3aHMOflefiCTBHX MeXAy HHTepKaJIHpOBaHHbIMH aTOMaMH, a TaKXe 3JIeKTpOHHOrO IIepeMeLIIFTBaHHX CHCTeMbI HHTepKaJIaT-~HTepKannHT.

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Cooperative Jahn‐Teller Effect in Layered Crystals

Lukiyanets¹

1987

Physica Status Solidi (b)

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Sciences of the Ukrainian SSR, Chernovtsy Cooperative Jahn-Teller Effect in Layered Crystals 1) BY B.A. LUKIYAIWTSThe presence of several sublayers in the unit cell of a layered crystal and weak interlayer mixing in it is the reason for the existence of Davydov bands. The Jahn-Teller pseudoeffect in layered crystals characterized by Davydov-split bands /1/ has been discussed recently /2/. The question arises about the role played by the carrier dispersion in the Jahn-Teller pseudoeffect. This leads to the formulation of the problem of the cooperative Jahn-Teller effect in layered

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The Jahn‐Teller Effect in Layer Crystals

Cited by 6 publications

References 7 publications

One-Electron States in a Layered Crystal with Covalent Bridges

One-Electron States in a Layered Crystal with Covalent Bridges

Charge Distribution of Electrons at Intercalated Atoms in Layer Crystals

Cooperative Jahn‐Teller Effect in Layered Crystals

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