Competition between charge and spin order in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mtext>−</mml:mtext><mml:mi>U</mml:mi><mml:mtext>−</mml:mtext><mml:mi>V</mml:mi></mml:mrow></mml:math>extended Hubbard model on the triangular lattice

Davoudi, B.; Hassan, S. R.; Tremblay, A.–M. S.

doi:10.1103/physrevb.77.214408

Cited by 28 publications

(17 citation statements)

References 33 publications

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“…This feature is fundamentally different from that in cuprates, where robust spin-density modulations are observed around impurities [63][64][65][66]. In light of the physics in the cuprates, one of the main questions that needs to be addressed is whether a triangular-lattice system exhibits a pseudogap, although little attention has been given to this [67][68][69][70][71][72]. Thus subsequent works are desired to clarify whether there is a connection between the pseudogap and periodic charge modulations in strongly correlated TLMs far away from half-filling.…”

Section: Competing Orders In Chiral + D Id and F-wave Superconductorsmentioning

confidence: 91%

Periodic charge-density modulations and gap anisotropy in chirald+idandf-wave superconductors

Zuo

Zhou

2015

New J. Phys.

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We identify a novel type of periodic charge-density modulation in triangular-lattice materials near an incommensurate filling. These charge modulations are suppressed by a strong pairing interaction, leaving the pairing modulations with the same periodicity. We also explore the competition between charge-density waves and superconductivity in chiral + d id or f-wave superconductors, and we discuss the implications for cobaltate and organic superconductors. Furthermore, we self-consistently calculate the local density of states around impurities and show that the gap anisotropy of the chiral + d id state is doping-dependent, which naturally explains the close-to-nodal gap features of cobaltate superconductors as indicated by experiments.diffraction and x-ray measurements of the triangular antiferromagnet AgNiO 2 also display evidence of charge order in the Ni triangular lattice while the system remains metallic [59,60]. However, although much progress has been made in the understanding of TLMs many issues are still open. In particular, the extent to which charge or spin fluctuations [61] can act in expanding the range of pairing possibilities is much less understood.Spurred by these important advances, we investigate here ordering modulations pinned by impurities in TLMs as well as the competition between superconductivity and charge-density waves (CDWs) in + d idor fwave superconductors, with possible relevance to NCO and organic superconductors. Based on the − ′ − − t t J V model, we theoretically demonstrate that the appropriate breaking of the commensurability can induce charge fluctuations and show that charge-density modulations with a period of roughly 4.5 3 lattice constants around impurities near an incommensurate filling can appear in TLMs. To the best of our knowledge, these interesting modulations have not been reported previously. Moreover, we also consider the competition between CDW and superconductivity in + d idor f-wave superconductors and explore the local density of states around the impurity. It is found that low-energy quasiparticle resonance states appear at the impurity site in both pairing cases and meanwhile the asymmetric SC coherence peaks are strongly suppressed. The LDOS spectra gradually recover the bulk feature at sites far from the impurity, which show a V-shape in the f-wave case. In contrast, the far-site LDOS of the + d idstate shows a doping-dependent gap anisotropy, which is fully gapped at low doping levels but gradually evolves into close-to-nodal gap features as the doping increases. These results may be helpful in understanding some exotic properties of cobaltate and organic materials.The rest of the paper is organized as follows. In section 2, we formulate the physical model and introduce Bogoliubov-de Gennes equations. In section 3, we consider the charge-density modulations in the non-SC state. We then discuss in section 4 the competition between CDW and superconductivity in + d idor f-wave superconductors with an incommensurate or 1/3 filling. The results of the local ...

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Section: Competing Orders In Chiral + D Id and F-wave Superconductorsmentioning

confidence: 91%

Periodic charge-density modulations and gap anisotropy in chirald+idandf-wave superconductors

Zuo

Zhou

2015

New J. Phys.

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“…It is important to understand that analogous arguments hold for any fluctuation that becomes soft because of the Mermin-Wagner theorem, [7,67] including superconducting ones [7,50,57]. The wave vector Q would be different in each case.…”

Section: Pseudogap In the Renormalized Classical Regimementioning

confidence: 95%

Two-Particle-Self-Consistent Approach for the Hubbard Model

Tremblay

2011

Springer Series in Solid-State Sciences

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Even at weak to intermediate coupling, the Hubbard model poses a formidable challenge. In two dimensions in particular, standard methods such as the Random Phase Approximation are no longer valid since they predict a finite temperature antiferromagnetic phase transition prohibited by the Mermin-Wagner theorem. The Two-Particle-Self-Consistent (TPSC) approach satisfies that theorem as well as particle conservation, the Pauli principle, the local moment and local charge sum rules. The self-energy formula does not assume a Migdal theorem. There is consistency between one- and two-particle quantities. Internal accuracy checks allow one to test the limits of validity of TPSC. Here I present a pedagogical review of TPSC along with a short summary of existing results and two case studies: a) the opening of a pseudogap in two dimensions when the correlation length is larger than the thermal de Broglie wavelength, and b) the conditions for the appearance of d-wave superconductivity in the two-dimensional Hubbard model.Comment: Chapter in "Theoretical methods for Strongly Correlated Systems", Edited by A. Avella and F. Mancini, Springer Verlag, (2011) 55 pages. Misprint in Eq.(23) corrected (thanks D. Bergeron

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“…30 The interplay between inter-cite interaction V , local interaction U , temperature, and doping effects thereby generates the rich phase diagram of the model. The extended Hubbard model has been of interest both as a proxy for the exploration of charge order caused by electron repulsion 24,25,27,29,[31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50] and as a model system for testing the effect of non-local interactions on electron correlations. [51][52][53][54][55] In that context, it has been particularly valuable to illustrate the convergence of diagrammatic extensions of the dynamical mean field theory 56,57 (DMFT) including the GW+DMFT 34,35,58 and the dual boson approximation.…”

Section: Introductionmentioning

confidence: 99%

Charge order and antiferromagnetism in the extended Hubbard model

et al. 2019

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We study the extended Hubbard model on a two-dimensional half-filled square lattice using the dynamical cluster approximation. We present results on the phase boundaries between the paramagnetic metallic (normal) state and the insulating antiferromagnetic state, as well as between the antiferromagnetic and charge order states. We find hysteresis along the antiferromagnet/charge order and normal/charge order phase boundaries (at larger values of the on-site interaction), indicating first order phase transitions. We show that nearest neighbor interactions lower the critical temperature for the antiferromagnetic phase. We also present results for the effect of nearest neighbor interactions on the antiferromagnetic phase boundary and for the evolution of spectral functions and energetics across the phase transitions. arXiv:1904.02249v1 [cond-mat.str-el]

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Competition between charge and spin order in thet−U−Vextended Hubbard model on the triangular lattice

Abstract: Competition between charge and spin order in the t − U − V extended Hubbard model on the triangular lattice.

Cited by 28 publications

References 33 publications

Periodic charge-density modulations and gap anisotropy in chirald+idandf-wave superconductors

Periodic charge-density modulations and gap anisotropy in chirald+idandf-wave superconductors

Two-Particle-Self-Consistent Approach for the Hubbard Model

Charge order and antiferromagnetism in the extended Hubbard model

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