Half-filled Hubbard model on a Bethe lattice with next-nearest-neighbor hopping

Peters, Robert; Pruschke, Thomas

doi:10.1103/physrevb.79.045108

Cited by 20 publications

(26 citation statements)

References 39 publications

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“…For non-zero values of t ′ no MH-MIT could be detected for temperatures T ≥ 0.01 W . The presence of a smooth cross-over indicates that the transition has moved to lower temperatures -an effect, that that has been previously studied within the context of DMFT 57 . To clarify this point as well as the t ′ dependence of U c further studies at lower temperatures are necessary.…”

Section: Discussionmentioning

confidence: 82%

Spectral properties of the three-dimensional Hubbard model

et al. 2011

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We present momentum resolved single-particle spectra for the three-dimensional Hubbard model for the paramagnetic and antiferromagnetically ordered phase obtained within the dynamical cluster approximation. The effective cluster problem is solved by continuous-time Quantum Monte Carlo simulations. The absence of a time discretization error and the ability to perform Monte Carlo measurements directly in Matsubara frequencies enable us to analytically continue the self-energies by maximum entropy, which is essential to obtain momentum resolved spectral functions for the Néel state. We investigate the dependence on temperature and interaction strength and the effect of magnetic frustration introduced by a next-nearest neighbor hopping. One particular question we address here is the influence of the frustrating interaction on the metal insulator transition of the three-dimensional Hubbard model.

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Section: Discussionmentioning

confidence: 82%

Spectral properties of the three-dimensional Hubbard model

et al. 2011

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“…We believe these changes to be a consequence of the shape of the DOS, which can change dramatically even for small perturbations of the hopping parameters. 38 The way the introduction of a new hopping path affects the DOS can be predicted semianalytically and depends, in a hypercubic bipartite lattice, on whether the new hopping connects A-A and B-B sublattice sites, or the A-B sublattices. 39 In our case, t 1 and t 4 hopping appear to produce an entirely symmetrical (about band centre) DOS: meanwhile, t 2 leads to a strong asymmetry and the appearance of a van Hove singularity at the lower band edge.…”

Section: Resultsmentioning

confidence: 99%

Effect of electron-lattice coupling on charge and magnetic order in rare-earth nickelates

2020

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We investigate the impact of electron-lattice coupling on the stability of various magnetic orders in rare-earth nickelates. We use the Hartree-Fock approximation, at zero temperature, to study an effective, two-band model with correlations characterized by a Hubbard U and a Hund's J. This is coupled to breathing-mode distortions of the octahedral oxygen cages, described semi-classically, with a Holstein term. We analyze the effect of the various parameters on the resulting phase diagram, in particular on the charge disproportionation and on the magnetic order. We confirm that the coupling to the lattice cooperates with Hund's coupling and thus encourages charge disproportionation. We also find that it favors the fully disproportionated, 4-site periodic magnetic order of type ⇑ 0 ⇓ 0. Other convergent magnetic phases, such as the collinear ↑↑↓↓ and non-collinear ↑→↓← states, do not couple to the lattice because of their lack of charge disproportionation. Novel phases, e.g. with charge disproportionation but no magnetic order, are also found to be stabilized in specific conditions.

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“…Already for t 2 /t 1 = 0.2 I find no incommensurate phase on the electron doped side for U/W < 3. As already stated above [136,147,[165][166][167], in order to stabilize the antiferromagnetic phase for a finite NNN-hopping one needs a finite interaction strength U AF c > 0. For 1/4t 1 < t 2 ≤ t 1 one obtains a strongly asymmetric DOS showing a squareroot singularity at the lower band edge.…”

Section: Doped Systemmentioning

confidence: 99%

“…Therefore I will assume through out this chapter t 2 ≥ 0. Most of the results in this chapter are published in Physical Review B [136] and New Journal of Physics [137].…”

Section: Introductionmentioning

confidence: 99%

Transition-Metal Oxides

Fulde¹

2012

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Several correlation effects found in transition metals reappear in amplified form in some of the transition-metal oxides. In fact, correlations can be so strong that Mott-Hubbard transitions from a metallic to an insulating state may occur. When these systems are doped with holes, often rich phase diagrams result, among them a variety of magnetic phases. Not only spin-, but also orbital order plays a significant role. Both types of order may influence each other. Manganites are much studied systems in this respect. They have in addition a significant technical potential. The cuprate perovskites are another class of very extensively investigated materials, interesting because of their extraordinary superconducting properties, discussed in Chapter 15. Only in a few cases can one perform true ab initio calculations based on wavefunction methods for strongly correlated systems. They are of interest despite that calculations within the LDA to density-functional theory have been able to describe well or even predict numerous experimental findings. Yet it is also known that calculations of that kind become unreliable when correlations are strong. An extension to LDA+U described in Sect. 4.4 leads to significant improvements. However, those calculations are no longer free of parameters and the involved approximations are uncontrolled. Therefore, it is important to design simplified models with the help of which we may better understand qualitatively and often semiquantitatively the basic physical properties of the oxides.In this chapter we start out with a discussion of cuprates. They are prototypes of doped correlation-induced insulators. After that we continue with the phenomenon of orbital ordering. Although this type of order was first observed in rare-earth systems such as CeB 6 , we shall limit ourselves here to its appearance in transition metal oxides. Finally the discussion turns to examples of the interplay between charge-, structural-, spin-and orbital orderings. Correlated Electrons in Quantum Matter Downloaded from www.worldscientific.com by CHINESE UNIVERSITY OF HONG KONG on 09/30/15. For personal use only.

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Half-filled Hubbard model on a Bethe lattice with next-nearest-neighbor hopping

Cited by 20 publications

References 39 publications

Spectral properties of the three-dimensional Hubbard model

Spectral properties of the three-dimensional Hubbard model

Effect of electron-lattice coupling on charge and magnetic order in rare-earth nickelates

Transition-Metal Oxides

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