Nature of the Peierls- to Mott-insulator transition in 1D

Fehske, Holger; Kampf, Arno P.; Sekania, Michael; Wellein, Gerhard

doi:10.1140/epjb/e2003-00002-2

Cited by 28 publications

(26 citation statements)

References 19 publications

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“…These excitations can be regarded as incorporation of electron-phonon interaction in generalized Holshtein-Hubbard model [18] or in Bose-Habbard model [37]. In the AQO model, crystal is representing as one dimensional system of anharmonic oscillators which interact via quadratic interaction term.…”

Section: Anharmonic Quantum Oscillators Modelmentioning

confidence: 99%

“…At 0 K, the quantum critical point (QCP) can be reached by variation of pressure or composition [9]. Early the QCP have been obviously found in the quantum paraelectric SrTiO 3 at increase of 18 O isotope concentration only [10]. Here the ferroelectric phase appears almost continuously at near 45% content of 18 O, and for SrTi 18 O 3 the ferroelectric phase appears below T C ≈ 25 K. At cooling to QCP the reciprocal dielectric susceptibility is proportional to T 2 , what is the most important criterion of the quantum critical behavior of susceptibility.…”

Section: Introductionmentioning

confidence: 99%

“…Further the line of first order transitions goes down to 0 K. Here the quantum paraelectric state is evidently realized and possibility of electronic correlation weak effects can be checked. Of course, a some phonon contribution to the electronic correlations is expected, what is accounted in the HolshteinHubbard type models [18,19]. The relaxations of paired in a real space Anderson's electrons [15,20,21] or phononic Kondo screening [22,23,24] can also be involved in some approaching for description of phonon-like excitations in the low temperature quantum paraelectric state.…”

Section: Introductionmentioning

confidence: 99%

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Valence fluctuations in Sn(Pb)2P2S6 ferroelectrics

Yevych

Haborets

Medulych

et al. 2016

Low Temperature Physics

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The valence fluctuations which are related to the charge disproportionation of phosphorous ions P 4+ + P 4+ → P 3+ + P 5+ are the origin of ferroelectric and quantum paraelectric states in Sn(Pb)2P2S6 semiconductors. They involve recharging of SnPS3 or PbPS3 structural groups which could be represented as half-filled sites in the crystal lattice. Temperature-pressure phase diagram for Sn2P2S6 compound and temperature-composition phase diagram for (PbySn1−y)2P2S6 mixed crystals, which include tricritical points and where a temperature of phase transitions decrease to 0 K, together with the data about some softening of low energy optic phonons and rise of dielectric susceptibility at cooling in quantum paraelectric state of Pb2P2S6 are analyzed by GGA electron and phonon calculations and compared with electronic correlations models. The anharmonic quantum oscillators model is developed for description of phase diagrams and temperature dependence of dielectric susceptibility.

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Section: Anharmonic Quantum Oscillators Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Valence fluctuations in Sn(Pb)2P2S6 ferroelectrics

Yevych

Haborets

Medulych

et al. 2016

Low Temperature Physics

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“…21 Detailed studies of the phase diagrams have in the past been limited by the small lattice sizes accessible when both e-e and e-ph interactions are included. 17 The situation is rapidly improving, however, as modern quantum Monte Carlo 29,37,40 and density matrix renormalization group 21,30 methods can now access models with both ee and e-ph interactions on chains with several hundred sites.…”

mentioning

confidence: 99%

Peierls transition in the presence of finite-frequency phonons in the one-dimensional extended Peierls-Hubbard model at half-filling

2003

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We report quantum Monte Carlo (stochastic series expansion) results for the transition from a Mott insulator to a dimerized Peierls insulating state in a half-filled, 1D extended Hubbard model coupled to optical bond phonons. Using electron-electron (e-e) interaction parameters corresponding approximately to polyacetylene, we show that the Mott-Peierls transition occurs at a finite value of the electron-phonon (e-ph) coupling. We discuss several different criteria for detecting the transition and show that they give consistent results. We calculate the critical e-ph coupling as a function of the bare phonon frequency and also investigate the sensitivity of the critical coupling to the strength of the e-e interaction. In the limit of strong e-e couplings, we map the model to a spin-Peierls chain and compare the phase boundary with previous results for the spin-Peierls transition. We point out effects of a nonlinear spin-phonon coupling neglected in the mapping to the spin-Peierls model.

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“…Similarly, in the full HEH model, although the initial study 30 suggested no gapless phase, more recent studies 5,6,27,28,[31][32][33][34][35][36][37][38] , have found the "gapless" metallic phase mentioned above in a small region of the g ep -U plane around the line U = 2g 2 ep /ω 0 . Ref [6] gives a plausible intuitive interpretation of this phase, as well as a clear statement of the important caveat of the likely exponentially small nature of any gap in this region makes drawing definitive conclusions from these numerical studies very difficult.…”

Section: Introductionmentioning

confidence: 86%

Dominant superconducting fluctuations in the one-dimensional extended Holstein–extended Hubbard model

Tam

Tsai²,

Campbell³

2014

Phys. Rev. B

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The search for realistic one-dimensional (1D) models that exhibit dominant superconducting (SC) fluctuations effects has a long history.1-4 In these 1D systems, the effects of commensurate band fillings-strongest at half-filling-and electronic repulsions typically lead to a finite charge gap and the favoring of insulating density wave ordering over superconductivity. Accordingly, recent proposals 5,6 suggesting a gapless metallic state in the Holstein-Hubbard (HH) model, possibly superconducting, have generated considerable interest and controversy, with the most recent work demonstrating that the putative dominant superconducting state likely does not exist. [6][7][8] In this paper we study a model with non-local electron-phonon interactions, in addition to electron-electron interactions, this model unambiguously possesses dominant superconducting fluctuations at half filling in a large region of parameter space. Using both the numerical multi-scale functional renormalization group for the full model and an analytic conventional renormalization group for a bosonized version of the model, we demonstrate the existence of dominant superconducting (SC) fluctuations. These dominant SC fluctuations arise because the spin-charge coupling at high energy is weakened by the non-local electron-phonon interaction and the charge gap is destroyed by the resultant suppression of the Umklapp process. The existence of the dominant SC pairing instability in this half-filled 1D system suggests that non-local boson-mediated interactions may be important in the superconductivity observed in the organic superconductors.

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Nature of the Peierls- to Mott-insulator transition in 1D

Cited by 28 publications

References 19 publications

Valence fluctuations in Sn(Pb)2P2S6 ferroelectrics

Valence fluctuations in Sn(Pb)2P2S6 ferroelectrics

Peierls transition in the presence of finite-frequency phonons in the one-dimensional extended Peierls-Hubbard model at half-filling

Dominant superconducting fluctuations in the one-dimensional extended Holstein–extended Hubbard model

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