Polaronic Quasiparticles in a Strongly Correlated Electron Band

Koller, Winfried; Ac, Hewson; Dm, Edwards

doi:10.1103/physrevlett.95.256401

Cited by 31 publications

(24 citation statements)

References 26 publications

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“…In the limit of linear response the equilibrium value of the one-electron Green function can be used to evaluate (36), and the resulting expression for the differential conductance G = dI/dV through a quantum dot is…”

Section: B Application To Quantum Dotsmentioning

confidence: 99%

Field dependent quasiparticles in a strongly correlated local system

2006

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We show that quasiparticles in a magnetic field of arbitrary strength H can be described by field dependent parameters. We illustrate this approach in the case of an Anderson impurity model and use the numerical renormalization group (NRG) to calculate the renormalized parameters for the levels with spin σ,ε d,σ (H), resonance width∆(H) and the effective local quasiparticle interactioñ U (H). In the Kondo or strong correlation limit of the model the progressive de-renormalization of the quasiparticles can be followed as the magnetic field is increased. The low temperature behaviour, including the conductivity, in arbitrary magnetic field can be calculated in terms of the field dependent parameters using the renormalized perturbation expansion. Using the NRG the field dependence of the spectral density on higher scales is also calculated.

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Section: B Application To Quantum Dotsmentioning

confidence: 99%

Field dependent quasiparticles in a strongly correlated local system

2006

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“…[7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] For the pure Holstein case, Freericks et al 7,8 found instabilities to charge order and superconductivity by quantum Monte Carlo ͑QMC͒ and iterated perturbation theory for different filling factors. At half-filling, Benedetti and Zeyher, 10 and Hague and D'Ambrumenil, 23 investigated the normal state and found a breakdown of Migdal-Eliashberg theory when a lattice instability develops for stronger electron-phonon coupling.…”

Section: Introductionmentioning

confidence: 99%

Competition between antiferromagnetic and charge order in the Hubbard-Holstein model

Bauer

Hewson

2010

Phys. Rev. B

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Sec. IV. Before that in Sec. III, we discuss the global phase diagram, the order parameters and static quantities and their dependence on U, , and 0 . Section V explores the normal state properties of the HH model which helps to understand the ground-state phase diagram and transition. In Sec. VI we discuss how the bosonic properties are modified by the coupling to the electronic system. In Sec. VII we present results for the electronic and bosonic spectral functions, before concluding in Sec. VIII.

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“…This means that the Mott insulator phase is robust against the deviation from the just half-filled condition in the presence of the finite electron-phonon interaction. Fruitful results at U ≈ S with rather small t (the lower-central area of the t-U-S triangle) have been expected near the half-filled condition [81][82][83], and more reliable calculations have been given by the dynamical mean-field theory [72,73,[87][88][89][90][91][92]. Large bipolarons at U ≈ S may play an important role in superconductivities [72,73,[87][88][89][90]92].…”

Section: T-u-s-n Diagrammentioning

confidence: 99%

Electrons of alkali metals in regular nanospaces of zeolites

Nakano

Nozue

2017

Advances in Physics: X

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The s-electrons of alkali metals loaded into regular nanospaces (nanocages) of zeolite crystals display novel electronic properties, such as a ferrimagnetism, a ferromagnetism, an antiferromagnetism, an insulator-to-metal transition, etc., depending on the kind of alkali metals, their loading density, and the structure type of zeolite frameworks. These properties are entirely different from those in bulk alkali metals of freeelectrons. Alkali-metal clusters are stabilized in cages of zeolites, and new quantum states of s-electrons, such as 1s, 1p, and 1d states in the spherical quantum-well model, are formed. An electron correlation, a polaron effect, and an orbital degeneracy in the quantum states of s-electrons play critical roles in taking on the novel electronic properties. Electronic properties can be overviewed systematically by a coarse-grained model of localized s-electron states in cages based on the tightbinding approximation, followed by the t-U-S-n diagram of the correlated polaron system given by the so-called HolsteinHubbard Hamiltonian: an electron transfer energy through windows of cages (t), a Coulomb repulsion energy between two s-electrons in the same cage (U), a short-range electron-phonon interaction energy due to the cation displacements (S), and an average number of s-electrons per cage (n). Beyond the jellium background model of alkali-metal clusters, a huge spin-orbit interaction has been observed in the 1p degenerate orbitals of clusters, similarly to the Rashba mechanism. ARTICLE HISTORY

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Polaronic Quasiparticles in a Strongly Correlated Electron Band

Cited by 31 publications

References 26 publications

Field dependent quasiparticles in a strongly correlated local system

Field dependent quasiparticles in a strongly correlated local system

Competition between antiferromagnetic and charge order in the Hubbard-Holstein model

Electrons of alkali metals in regular nanospaces of zeolites

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