Spin and charge fluctuations in the Hubbard model

Sherman, A.

doi:10.1016/j.jmmm.2016.12.045

Cited by 3 publications

(2 citation statements)

References 61 publications

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“…1. The sums of ladder diagrams describe spin and charge susceptibilities [27,28,29], and the diagrams with their inserts take into account interactions of electrons with spin and charge fluctuations.…”

Section: Strong Coupling Diagram Techniquementioning

confidence: 99%

“…The first nonlocal term, which introduces the momentum dependence into K, appears in the third order. It is the first term in an infinite sequence of terms in K with ladder inserts, which describe the interaction of electrons with spin and charge fluctuation [27,28,29]. In this work the third-order nonlocal term was included in the irreducible part together with local terms of lower orders.…”

Section: Introductionmentioning

confidence: 99%

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Continuum of many-particle states near the metal-insulator transition in the Hubbard model

Sherman¹

2017

Eur. Phys. J. B

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The strong coupling diagram technique is used for investigating states near the metal-insulator transition in the half-filled two-dimensional repulsive Hubbard model. The nonlocal third-order term is included in the irreducible part along with local terms of lower orders. Derived equations for the electron Green's function are solved by iteration for moderate Hubbard repulsions and temperatures. Starting iteration from Green's functions of the Hubbard-I approximation with various distances of poles from the real frequency axis continua of different metallic and insulating solutions are obtained. The insulating solutions vary in the width of the Mott gap, while the metallic solutions differ in the shape of the spectral function in the vicinity of the Fermi level. Besides, different scenarios of the metal-insulator transition -with a sudden onset of a band of mobile states near the Fermi level and with gradual closure of the Mott gap -are observed with a change in temperature. In spite of these dissimilarities, all solutions have a common curve separating metallic and insulating states in the phase diagram. Near this curve metallic and insulating solutions coexist. For moderate Hubbard repulsions metallic solutions are not Fermi liquids. PACS. xx.xx.xx xx

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Section: Strong Coupling Diagram Techniquementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Continuum of many-particle states near the metal-insulator transition in the Hubbard model

Sherman¹

2017

Eur. Phys. J. B

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Effective Interaction in a Non-Fermi Liquid Conductor and Spin Correlations in Under-Doped Cuprates

Bhattacharjee

Chaudhury

2018

J Low Temp Phys

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The effective interaction between the itinerant spin degrees of freedom in the paramagnetic phases of hole doped quantum Heisenberg antiferromagnets is investigated theoretically, based on the single-band t-J model on 1D lattice, at zero temperature. The effective spinspin interaction for this model in the strong correlation limit, is studied in terms of the generalized spin stiffness constant as a function of doping concentration. The plot of this generalized spin stiffness constant against doping shows a very high value of stiffness in the vicinity of zero doping and a very sharp fall with increase in doping concentration, signifying the rapid decay of original coupling of semi-localized spins in the system. Quite interestingly, this plot also shows a maximum occurring at a finite value of doping, which strongly suggests the tendency of the itinerant spins to couple again in the unconventional paramagnetic phase. As the doping is further increased, this new coupling is also suppressed and the spin response becomes analogous to almost Pauli-like. The last two predictions of ours are quite novel and may be directly tested by independent experiments and computational techniques in future. Our results in general receive good support from other theoretical works and experimental results extracted from the chains of YBa 2 Cu 3 O 6+x . arXiv:1705.05288v2 [cond-mat.str-el]

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Steady and dynamic magnetic phase transitions in the open interacting quantum dots arrays

Xie

Cheng

Lü

2020

Journal of Magnetism and Magnetic Materials

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Spin and charge fluctuations in the Hubbard model

Cited by 3 publications

References 61 publications

Continuum of many-particle states near the metal-insulator transition in the Hubbard model

Continuum of many-particle states near the metal-insulator transition in the Hubbard model

Effective Interaction in a Non-Fermi Liquid Conductor and Spin Correlations in Under-Doped Cuprates

Steady and dynamic magnetic phase transitions in the open interacting quantum dots arrays

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