Charged solitons in the Hartree-Fock approximation to the large-<i>U</i>Hubbard model

Poilblanc, Didier; Rice, T. M.

doi:10.1103/physrevb.39.9749

Cited by 438 publications

(323 citation statements)

References 9 publications

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“…Motivated by this, it was found that [30][31][32][33], within mean-field theory, variants of the 2D Hubbard model could also support a socalled stripe state, where the magnitude of the magnetization is spatially modulated. It has not always been recognized that such modulated magnetization is closely related to the famous FFLO superconducting state of the attractive model, predicted within mean-field theory already earlier [34].…”

Section: Introductionmentioning

confidence: 99%

Dynamical mean-field theory study of stripe order and d -wave superconductivity in the two-dimensional Hubbard model

Vanhala

Törmä

2018

Phys. Rev. B

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We use cellular dynamical mean-field theory with extended unit cells to study the ground state of the two-dimensional repulsive Hubbard model at finite doping. We calculate the energy of states where d-wave superconductivity coexists with spatially nonuniform magnetic and charge order and find that they are energetically favored in a large doping region as compared to the uniform solution. We also study the spatial form of the density and the superconducting and magnetic order parameters at different doping values.

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Section: Introductionmentioning

confidence: 99%

Dynamical mean-field theory study of stripe order and d -wave superconductivity in the two-dimensional Hubbard model

Vanhala

Törmä

2018

Phys. Rev. B

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“…One-band Hubbard and t-J models have been found, within various approximations, to exhibit striped charge and spin structures [19][20][21][22][23][24] , modulated nematic phases [25][26][27] as well as pair density wave phases [28][29][30] . RPA calculations for the three-band Hubbard model have also found nematic phases in certain parameter regimes [31][32][33] .…”

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confidence: 99%

Doping asymmetry and striping in a three-orbitalCuO2Hubbard model

White

Scalapino

2015

Phys. Rev. B

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“…Quite interestingly, theoretical studies of striped phases in systems of strongly correlated electrons have preceded experimental observations of such phases [6,7]. But only after those observations, the discussion became much more vigorous, and the nature of stripe-ordered phases started to attract attention of numerous researchers.…”

Section: Introductionmentioning

confidence: 99%

“…An inspection of (5) and (6) reveals that up to the second order the effective Hamiltonians for fermions and hardcore bosons are the same. Hence, the discussion that follows applies to the both cases, and the common effective Hamiltonians are denoted as…”

Section: The Zeroth and Second Order Ground-state Phase Diagramsmentioning

confidence: 99%

Formation of charge-stripe phases in a system of spinless fermions or hardcore bosons

Derzhko

̧drzejewski

2005

Physica A: Statistical Mechanics and its Applications

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We consider two strongly correlated two-component quantum systems, consisting of quantum mobile particles and classical immobile particles. The both systems are described by Falicov-Kimball-like Hamiltonians on a square lattice, extended by direct short-range interactions between the immobile particles. In the first system the mobile particles are spinless fermions while in the second one they are hardcore bosons. We construct rigorously ground-state phase diagrams of the both systems in the strong-coupling regime and at half-filling. Two main conclusions are drawn. Firstly, short-range interactions in quantum gases are sufficient for the appearance of charge stripe-ordered phases. By varying the intensity of a direct nearest-neighbor interaction between the immobile particles, the both systems can be driven from a phase-separated state (the segregated phase) to a crystalline state (the chessboard phase) and these transitions occur necessarily via charge-stripe phases: via a diagonal striped phase in the case of fermions and via vertical (horizontal) striped phases in the case of hardcore bosons. Secondly, the phase diagrams of the two systems (mobile fermions or mobile hardcore bosons) are definitely different. However, if the strongest effective interaction in the fermionic case gets frustrated gently, then the phase diagram becomes similar to that of the bosonic case.

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Charged solitons in the Hartree-Fock approximation to the large-UHubbard model

Cited by 438 publications

References 9 publications

Dynamical mean-field theory study of stripe order and d -wave superconductivity in the two-dimensional Hubbard model

Dynamical mean-field theory study of stripe order and d -wave superconductivity in the two-dimensional Hubbard model

Doping asymmetry and striping in a three-orbitalCuO2Hubbard model

Formation of charge-stripe phases in a system of spinless fermions or hardcore bosons

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