Phase diagram of the quarter-filled extended Hubbard model on a two-leg ladder

Vojta, Matthias; Hübsch, A.; Noack, R. M.

doi:10.1103/physrevb.63.045105

Cited by 48 publications

(99 citation statements)

References 54 publications

(98 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Ref. 38 found qualitatively different behavior for t a < ∼ t b , where the spin gap was found to be finite, and t a > ∼ t b , where the spin gap was found to vanish.…”

Section: Isolated Laddermentioning

confidence: 99%

“…5. The charge gap increases with increasing V and lattice distortion and does not vanish 38 at V = 0. At V * = 1.3 t a , the charge gap agrees reasonably well with the experimental value for the optical gap in NaV 2 O 5 .…”

mentioning

confidence: 96%

“…The properties of the EHM without electron-lattice coupling were studied using mean field approaches, 35 and Cluster Perturbation Theory. 36 De-tailed studies of the EHM were also performed using the DMRG, 37,38 but not at specific values of the coupling parameters appropriate for NaV 2 O 5 .…”

Section: Modelmentioning

confidence: 99%

“…38 Results are extrapolated to L = ∞ using linear and quadratic fits in 1/L and by applying finite-size scaling.…”

Section: Modelmentioning

confidence: 99%

See 3 more Smart Citations

Charge order induced by electron-lattice interaction inNaV2O5

2005

Self Cite

View full text Add to dashboard Cite

We present Density Matrix Renormalization Group calculations of the ground-state properties of quarter-filled ladders including static electron-lattice coupling. Isolated ladders and two coupled ladders are considered, with model parameters obtained from band-structure calculations for α ′ -NaV2O5. The relevant Holstein coupling to the lattice causes static out-of-plane lattice distortions, which appear concurrently with a charge-ordered state and which exhibit the same zigzag pattern observed in experiments. The inclusion of electron-lattice coupling drastically reduces the critical nearest-neighbor Coulomb repulsion Vc needed to obtain the charge-ordered state. No spin gap is present in the ordered phase. The charge ordering is driven by the Coulomb repulsion and the electron-lattice interaction. With electron-lattice interaction, coupling two ladders has virtually no effect on Vc or on the characteristics of the charge-ordered phase. At V = 0.46 eV, a value consistent with previous estimates, the lattice distortion, charge gap, charge order parameter, and the effective spin coupling are in good agreement with experimental data for NaV2O5.

show abstract

“…Ref. 38 found qualitatively different behavior for t a < ∼ t b , where the spin gap was found to be finite, and t a > ∼ t b , where the spin gap was found to vanish.…”

Section: Isolated Laddermentioning

confidence: 99%

mentioning

confidence: 96%

Section: Modelmentioning

confidence: 99%

“…38 Results are extrapolated to L = ∞ using linear and quadratic fits in 1/L and by applying finite-size scaling.…”

Section: Modelmentioning

confidence: 99%

See 2 more Smart Citations

Charge order induced by electron-lattice interaction inNaV2O5

2005

Self Cite

View full text Add to dashboard Cite

show abstract

“…Vojta et al 42 studied the problem of a strongly correlated electronic problem at 1/4-filling and with extended Hubbard interactions (keeping only a nn repulsion) using the DMRG method. The phase diagram they obtained contains several phases with charge and/or spin excitation gaps.…”

Section: Comparison With Recent Numerical Workmentioning

confidence: 99%

From frustrated insulators to correlated anisotropic metals: charge-ordering and quantum criticality in coupled chain systems

Lal¹,

Laad²

2008

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

A recent study revealed the dynamics of the charge sector of a one-dimensional quarter-filled electronic system with extended Hubbard interactions to be that of an effective pseudospin transversefield Ising model (TFIM) in the strong coupling limit. With the twin motivations of studying the co-existing charge and spin order found in strongly correlated chain systems and the effects of inter-chain couplings, we investigate the phase diagram of coupled effective (TFIM) systems. A bosonisation and RG analysis for a two-leg TFIM ladder yields a rich phase diagram showing Wigner/Peierls charge order and Neel/dimer spin order. In a broad parameter regime, the orbital antiferromagnetic phase is found to be stable. An intermediate gapless phase of finite width is found to lie in between two charge-ordered gapped phases. Kosterlitz-Thouless transitions are found to lead from the gapless phase to either of the charge-ordered phases. A detailed analysis is also carried out for the dimensional crossover physics when many such pseudospin systems are coupled to one another. Importantly, the analysis reveals the key role of critical quantum fluctuations in driving the strong dispersion in the transverse directions, as well as a T = 0 deconfinement transition. Our work is potentially relevant for a unified description of a class of strongly correlated, quarter-filled chain and ladder systems.

show abstract

Density Matrix Renormalization

Hallberg¹

Theoretical Methods for Strongly Correlated Electrons

View full text Add to dashboard Cite

The Density Matrix Renormalization Group (DMRG) has become a powerful numerical method that can be applied to low-dimensional strongly correlated fermionic and bosonic systems. It allows for a very precise calculation of static, dynamical, and thermodynamical properties. Its field of applicability has now extended beyond Condensed Matter, and is successfully used in statistical mechanics and high-energy physics as well. In this chapter, we briefly review the main aspects of the method. We also comment on some of the most relevant applications so as to give an overview on the scope and possibilities of DMRG and mention the most important extensions of the method, such as the calculation of dynamical properties, the application to classical systems; inclusion of temperature, phonons and disorder, field theory; time-dependent properties, and the ab initio calculation of electronic states in molecules.

show abstract

Phase diagram of the quarter-filled extended Hubbard model on a two-leg ladder

Cited by 48 publications

References 54 publications

Charge order induced by electron-lattice interaction inNaV2O5

Charge order induced by electron-lattice interaction inNaV2O5

From frustrated insulators to correlated anisotropic metals: charge-ordering and quantum criticality in coupled chain systems

Density Matrix Renormalization

Contact Info

Product

Resources

About