Phase diagram of the Hubbard chain with two atoms per cell

Torio, M. E.; Aligia, A. A.; Ceccatto, H. A.

doi:10.1103/physrevb.64.121105

Cited by 67 publications

(109 citation statements)

References 25 publications

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“…For this case, a ground-state level crossing of two spin singlets at U = U x (L, δ) (implying a zero exciton gap) was found using exact diagonalization of small systems. 11,12,14 A change of the site inversion symmetry at U = U x was also observed. In Sec.…”

Section: B Gaps To Excited Statesmentioning

confidence: 88%

“…Sufficiently accurate DMRG results for these energies can only be obtained for system sizes of up to L = 64, small compared to the ones studied for OBC's, but nevertheless much larger than the ones that can be reached with exact diagonalization. 11,12,13,14 We show results for PBC's for systems with L = 12, 16, 24, 32, and 64, i.e., system sizes with 4n sites, so that the site-inversion symmetry of the ground state is guaranteed to change sign with U , as discussed in Sec. I B.…”

Section: Periodic Boundary Conditionsmentioning

confidence: 99%

“…V, we will argue that U x (L → ∞, δ) coincides with U c1 (δ). 11 The presence of the ground-state level crossings might lead one to speculate that discontinuous behavior will persist in the thermodynamic limit, implying a first order phase transition at U x (L = ∞, δ). However, we find no discontinuous behavior for systems with OBC's, either on finite systems or in the L → ∞ extrapolations.…”

Section: B Gaps To Excited Statesmentioning

confidence: 99%

“…9 In a different calculation using auxiliary field QMC, data for the one-particle spectral weight were argued to show two critical points with an intermediate metallic phase. 10 Exact diagonalization studies of the Berry phase 11 and energy gaps 12,13,14 have been interpreted as favoring one critical point 13 or two points; 11 in two investigations this issue was left unresolved. 12,14 Several density-matrix renormalization group (DMRG) studies have been performed focusing on different energy gaps, the localization length, the BO parameter, the BO correlation function, different distribution functions, and the optical conductivity.…”

Section: Introduction a Motivationmentioning

confidence: 99%

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Quantum critical behavior of the one-dimensional ionic Hubbard model

et al. 2004

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We study the zero-temperature phase diagram of the half-filled one-dimensional ionic Hubbard model. This model is governed by the interplay of the on-site Coulomb repulsion and an alternating one-particle potential. Various many-body energy gaps, the charge-density-wave and bond-order parameters, the electric as well as the bond-order susceptibilities, and the density-density correlation function are calculated using the density-matrix renormalization group method. In order to obtain a comprehensive picture, we investigate systems with open as well as periodic boundary conditions and study the physical properties in different sectors of the phase diagram. A careful finite-size scaling analysis leads to results which give strong evidence in favor of a scenario with two quantum critical points and an intermediate spontaneously dimerized phase. Our results indicate that the phase transitions are continuous. Using a scaling ansatz we are able to read off critical exponents at the first critical point. In contrast to a bosonization approach, we do not find Ising critical exponents. We show that the low-energy physics of the strong coupling phase can only partly be understood in terms of the strong coupling behavior of the ordinary Hubbard model.

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Section: B Gaps To Excited Statesmentioning

confidence: 88%

Section: Periodic Boundary Conditionsmentioning

confidence: 99%

Section: B Gaps To Excited Statesmentioning

confidence: 99%

Section: Introduction a Motivationmentioning

confidence: 99%

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Quantum critical behavior of the one-dimensional ionic Hubbard model

et al. 2004

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“…(1) represents the Ionic Hubbard Model (IHM) [9][10][11][12][13][14][15] , which was used to describe the neutral-ionic phase transition in mixed-stack charge transfer crystals [16][17][18][19] . As pointed out by Fabrizio, Gogolin and Nersesyan 9 , there exists an unusual spontaneously dimerized insulator phase, the BOW phase, which separates the BI from the Mott insulator (MI) phase 9 .…”

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confidence: 99%

Study of the ionic Peierls-Hubbard model using density matrix renormalization group methods

Zhang¹,

Wu²,

Lin³

2005

Phys. Rev. B

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Density matrix renormalization group methods are used to investigate the quantum phase diagram of a one-dimensional half-filled ionic Peierls-Hubbard model at the antiadiabatic limit where quantum phonon fluctuations are taken into account partially. We found that two continuous phase transitions always exist from dimerized spin-gapped (bond-order-wave) state to band-insulator and undimerized spin-gapless (Mott-insulator) phase while undimerized spin-gapless phase vanishes at the adiabatic limit. Our results indicate that quantum phonon fluctuations, electron-electron interaction and ionic potential combine in the formation of the bond-order wave phase. The response of correlated electrons to lattice distortions in solids has been extensively studied over the years, due to its important role in several classes of materials including high-T c cuprates, colossal magnetoresistance manganites, conducting polymers and organic chargetransfer salts. As a good example, the Peierls-Hubbard model, with on-site Coulomb repulsion and lattice displacement, is a simple yet nontrivial model that exhibits a rich ground state phase diagram. Strong correlations lead to the separation of charge and spin excitations 1 while quantum phonon fluctuations can destroy an ordered gapped state 2-4 . Taking them both into consideration is essential for a full understanding of the nature of these materials.With the inclusion of additional terms to the PeierlsHubbard Hamiltonian on different physics background, various one-dimensional correlated electronic models were actively studied recently such as the ionic PeierlsHubbard model 5-8 which is defined as follows

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High-pressure synthesis, structural, magnetic and electronic properties of Ca-substituted post-perovskite Na 1-x Ca x IrO 3 ( x = 0–1)

Wang

Miao

et al. 2018

Journal of Alloys and Compounds

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Phase diagram of the Hubbard chain with two atoms per cell

Cited by 67 publications

References 25 publications

Quantum critical behavior of the one-dimensional ionic Hubbard model

Quantum critical behavior of the one-dimensional ionic Hubbard model

Study of the ionic Peierls-Hubbard model using density matrix renormalization group methods

High-pressure synthesis, structural, magnetic and electronic properties of Ca-substituted post-perovskite Na 1-x Ca x IrO 3 ( x = 0–1)

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