Charge-Density-Wave to Spin-Density-Wave Transition in the Extended Hubbard Model

Hirsch, J. E.

doi:10.1103/physrevlett.53.2327

Cited by 239 publications

(235 citation statements)

References 9 publications

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“…The phase diagram then has a shape very similar to that of the half-filled 1D extended Hubbard model ͑EHM͒. 29,[32][33][34] In the half-filled EHM, as the nearest-neighbor Coulomb repulsion V is increased for fixed U, there is a transition from AFM to CDW order. This transition is continuous for small U and first order for U Ͼ U m .…”

Section: First-order Transitionmentioning

confidence: 89%

Phase diagram of the one-dimensional Hubbard-Holstein model at half and quarter filling

2007

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The Hubbard-Holstein model is one of the simplest to incorporate both electron-electron and electronphonon interactions. In one dimension at half filling, the Holstein electron-phonon coupling promotes on-site pairs of electrons and a Peierls charge-density wave, while the Hubbard on-site Coulomb repulsion U promotes antiferromagnetic correlations and a Mott insulating state. Recent numerical studies have found a possible third intermediate phase between Peierls and Mott states. From direct calculations of charge and spin susceptibilities, we show that ͑i͒ as the electron-phonon coupling is increased, first a spin gap opens, followed by the Peierls transition. Between these two transitions, the metallic intermediate phase has a spin gap, no charge gap, and properties similar to the negative-U Hubbard model.

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Section: First-order Transitionmentioning

confidence: 89%

Phase diagram of the one-dimensional Hubbard-Holstein model at half and quarter filling

2007

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“…The different behaviors exhibited in systems with the shortrange and long-range interactions indicate the important role of the long-range interaction in the formation of Wigner crystal phase. By the way, the phase diagram for extended Hubbard model in the half filling is studied widely [34][35][36][37][38]. The phase transition point between spin density wave(SDW) and charge density wave(CDW) is 2V = U in the large U, V .…”

Section: B Hubbard Model With Long-range Interactionmentioning

confidence: 99%

Wigner crystal versus fermionization for one-dimensional Hubbard models with and without long-range interactions

Xu¹,

Li²,

Xianlong³

et al. 2012

J. Phys.: Condens. Matter

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The ground state properties of Hubbard model with or without long-range interactions in the regime with strongly repulsive on-site interaction are investigated by means of the exact diagonalization method. We show that the appearance of N -crests in the density profile of a trapped N-fermion system is a natural result of "fermionization" between antiparallel-spin fermions in the strongly repulsive limit and can not be taken as the only signature of Wigner crystal phase, as the static structure factor does not show any signature of crystallization. On the contrary, both the density distribution and static structure factor of Hubbard model with strong long-range interactions display clear signature of Wigner crystal. Our results indicate the important role of long-range interaction in the formation of Wigner crystal.

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“…Nakamura identified the bond order wave (BOW) phase [1] of the one-dimensional (1D) half-filled extended Hubbard model [2] (EHM, Eq. 1).…”

Section: Introductionmentioning

confidence: 99%

Bond-order wave phase of the extended Hubbard model: Electronic solitons, paramagnetism, and coupling to Peierls and Holstein phonons

Kumar

Soos

2010

Phys. Rev. B

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The bond order wave (BOW) phase of the extended Hubbard model (EHM) in one dimension (1D) is characterized at intermediate correlation U = 4t by exact treatment of N -site systems. Linear coupling to lattice (Peierls) phonons and molecular (Holstein) vibrations are treated in the adiabatic approximation. The molar magnetic susceptibility χM (T ) is obtained directly up to N = 10. The goal is to find the consequences of a doubly degenerate ground state (gs) and finite magnetic gap Em in a regular array. Degenerate gs with broken inversion symmetry are constructed for finite N for a range of V near the charge density wave (CDW) boundary at V ≈ 2.18t where Em ≈ 0.5t is large. The electronic amplitude B(V ) of the BOW in the regular array is shown to mimic a tight-binding band with small effective dimerization δ ef f . Electronic spin and charge solitons are elementary excitations of the BOW phase and also resemble topological solitons with small δ ef f . Strong infrared intensity of coupled molecular vibrations in dimerized 1D systems is shown to extend to the regular BOW phase, while its temperature dependence is related to spin solitons. The Peierls instability to dimerization has novel aspects for degenerate gs and substantial Em that suppresses thermal excitations. Finite Em implies exponentially small χM (T ) at low temperature followed by an almost linear increase with T . The EHM with U = 4t is representative of intermediate correlations in quasi-1D systems such as conjugated polymers or organic ion-radical and charge-transfer salts. The vibronic and thermal properties of correlated models with BOW phases are needed to identify possible physical realizations.

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Charge-Density-Wave to Spin-Density-Wave Transition in the Extended Hubbard Model

Cited by 239 publications

References 9 publications

Phase diagram of the one-dimensional Hubbard-Holstein model at half and quarter filling

Phase diagram of the one-dimensional Hubbard-Holstein model at half and quarter filling

Wigner crystal versus fermionization for one-dimensional Hubbard models with and without long-range interactions

Bond-order wave phase of the extended Hubbard model: Electronic solitons, paramagnetism, and coupling to Peierls and Holstein phonons

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