Erratum: Two-site dynamical mean field theory for the dynamic Hubbard model [Phys. Rev. B<b>82</b>, 155122 (2010)]

Bach, Giang H.; Hirsch, J. E.; Marsiglio, F.

doi:10.1103/physrevb.82.209904

Cited by 5 publications

(12 citation statements)

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“…The model ignores the fact that nondegenerate atomic orbitals are necessarily modified by double electronic occupancy [3][4][5][6]. To remedy this deficiency a variety of new Hamiltonians have been proposed and studied that we will generically call 'dynamic Hubbard models', that take into account the fact that orbital expansion takes place when a non-degenerate atomic orbital is doubly occupied [7][8][9][10][11][12][13][14][15][16][17]. The essential physics of real atoms that is described by dynamic Hubbard models but not by the conventional Hubbard model is shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

Charge expulsion, charge inhomogeneity, and phase separation in dynamic Hubbard models

Hirsch

2013

Phys. Rev. B

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Dynamic Hubbard models are extensions of the conventional Hubbard model that take into account the fact that atomic orbitals expand upon double occupancy. It is shown here that systems described by dynamic Hubbard models have a tendency to expel negative charge from their interior to the surface, and to develop charge inhomogeneity and even phase separation in the bulk. These effects are associated with lowering of electronic kinetic energy. We propose that these models may explain the charge inhomogeneity and negatively charged grain boundaries observed in cuprate oxides and other materials.PACS numbers:

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Section: Introductionmentioning

confidence: 99%

Charge expulsion, charge inhomogeneity, and phase separation in dynamic Hubbard models

Hirsch

2013

Phys. Rev. B

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“…We expect those hole carriers to be in the Opπ orbitals forming a small hole pocket at (π, π), both for electron-doped and holedoped cuprates. We conclude that because of the strong orbital relaxation effects in this purely oxygen band the quasiparticle weight is very small [75,76] and not visible in current photoemission experiments.…”

Section: Photoemissionmentioning

confidence: 58%

Understanding electron-doped cuprate superconductors as hole superconductors

Hirsch

Marsiglio

2019

Physica C: Superconductivity and its Applications

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Since their experimental discovery in 1989, the electron-doped cuprate superconductors have presented both a major challenge and a major opportunity. The major challenge has been to determine whether these materials are fundamentally different from or essentially similar to their hole-doped counterparts; a major opportunity because answering this question would strongly constrain the possible explanations for what is the essential physics that leads to high temperature superconductivity in the cuprates, which is still not agreed upon. Here we argue that experimental results over the past 30 years on electron-doped cuprate materials have provided conclusive answers to these fundamental questions, by establishing that both in hole-and electron-doped cuprates, superconductivity originates in pairing of hole carriers in the same band. We discuss a model to describe this physics that is different from the generally accepted ones, and calculate physical observables that agree with experiment, in particular tunneling characteristics. We argue that our model is simpler, more natural and more compelling than other models. Unlike other models, ours was originally proposed before rather than after many key experiments were performed. PACS numbers:

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“…Normally this peak would be broadened through, for example, impurity scattering, but here (and even in the DMFT study of Ref. [16]) it remains a δ-function, broadened in Fig. 3 artificially by hand, so as to be visible.…”

Section: Discussionmentioning

confidence: 71%

“…This is followed with a discussion of the results, particularly in light of the DMFT results reported in Ref. [16]. We then conclude with a summary.…”

Section: Introductionmentioning

confidence: 72%

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Optical conductivity for a dimer in the dynamic Hubbard model

Bach

Marsiglio

2012

Phys. Rev. B

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The Dynamic Hubbard Model represents the physics of a multi-band Hubbard model by using a pseudo-spin degree of freedom to dynamically modify the on-site Coulomb interaction. Here we use a dimer system to obtain analytical results for this model. The spectral function and the optical conductivity are calculated analytically for any number of electrons, and the distribution of optical spectral weight is analyzed in great detail. The impact of polaron-like effects due to overlaps between pseudo-spin states on the optical spectral weight distribution is derived analytically. Our conclusions support results obtained previously with different models and techniques: holes are less mobile than electrons. arXiv:1204.3219v1 [cond-mat.str-el]

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Erratum: Two-site dynamical mean field theory for the dynamic Hubbard model [Phys. Rev. B82, 155122 (2010)]

Cited by 5 publications

References 0 publications

Charge expulsion, charge inhomogeneity, and phase separation in dynamic Hubbard models

Charge expulsion, charge inhomogeneity, and phase separation in dynamic Hubbard models

Understanding electron-doped cuprate superconductors as hole superconductors

Optical conductivity for a dimer in the dynamic Hubbard model

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