Hole and pair structures in the t-J model

White, Steven R.; Scalapino, D. J.

doi:10.1103/physrevb.55.6504

Cited by 169 publications

(207 citation statements)

References 34 publications

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“…As already pointed out before, 4 the spin correlation in the vicinity of a pair of nearby holes discussed above provides a mechanism for hole binding. It has also been argued that such spin correlation is a result of the d x 2 Ϫy 2 symmetry of the wave function.…”

Section: Real-space Structure Of the Hole Pairmentioning

confidence: 94%

“…This analysis was first carried out on a two-hole bound state using the technique of density matrix renormalization group, 4 and later by ED.…”

Section: Real-space Structure Of the Hole Pairmentioning

confidence: 99%

“…3 Alternatively, the density matrix renormalization group ͑DMRG͒ approach has been used to work out the spin structure in the vicinity of a hole pair in real space. 4 It was found that by pairing up at a distance of ͱ2, the two holes can share the spin frustration and is therefore energetically favorable. This is consistent with the numerical observation [5][6][7] that the holes have the largest probability of being at ͱ2 apart.…”

Section: Introductionmentioning

confidence: 99%

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Low-energy states with different symmetries in thet−Jmodel with two holes on a 32-site lattice

Leung

2002

Phys. Rev. B

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We study the low-energy states of the t-J model with two holes on a 32-site lattice with periodic boundary conditions. In contrary to common belief, we find that the state with d x 2 Ϫy 2 symmetry is not always the ground state in the realistic parameter range 0.2рJ/tр0.4. There exist low-lying finite-momentum p states whose energies are lower than the d x 2 Ϫy 2 state when J/t is small enough. We compare various properties of these low-energy states at J/tϭ0.3 where they are almost degenerate and find that those properties associated with the holes ͑such as the hole-hole correlation and the electron momentum distribution function͒ are very different between the d x 2 Ϫy 2 and p states, while their spin properties are very similar. Finally, we demonstrate that by adding ''realistic'' terms to the t-J model Hamiltonian, we can easily destroy the d x 2 Ϫy 2 ground state. This casts doubt on the robustness of the d x 2 Ϫy 2 state as the ground state in a microscopic model for the hightemperature superconductors.

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Section: Real-space Structure Of the Hole Pairmentioning

confidence: 94%

“…This analysis was first carried out on a two-hole bound state using the technique of density matrix renormalization group, 4 and later by ED.…”

Section: Real-space Structure Of the Hole Pairmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Low-energy states with different symmetries in thet−Jmodel with two holes on a 32-site lattice

Leung

2002

Phys. Rev. B

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“…However, it is difficult to unambiguously determine the stripe form directly in a standard neutron or X-ray scattering experiment because of the loss of phase information. Similar ideas of site-centered or bond-centered stripe phases in cuprate oxides are also under investigation [20].…”

Section: Introductionmentioning

confidence: 94%

Signatures of stripe phases in hole-dopedLa2NiO4

Bishop

et al. 1998

Phys. Rev. B

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We model nickelate-centered and oxygen-centered stripe phases in doped La2NiO4 materials. We use an inhomogeneous Hartree-Fock and random-phase approximation approach including both electronelectron and electron-lattice(e-l) coupling for a layer of La2NiO4. We find that whether the ground state after commensurate hole doping comprises Ni-centered or O-centered charge-localized stripes depends sensitively on the e-l interaction. With increasing e-l interaction strength, a continuous transition from an O-centered stripe phase to a Ni-centered one is found. Various low-and highenergy signatures of these two kinds of stripe phases are predicted, which can clearly distinguish them. These signatures reflect the strongly correlated spin-charge-lattice features in the vicinity of Ni-centered or O-centered stripe domains. The importance of e-l interaction for recent experiments on stripe phases is discussed.

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“…Since there are many possible paths through a 2D lattice, it is critical that the path chosen conform to the dominant correlations of the problem. Electrons in small square or rectangular lattices with t-J or Hubbard Hamiltonians [17] have been treated using this DMRG strategy, though with much less precision than for 1D systems. Problems in 3D are beyond the scope of the DMRG in real space.…”

Section: Introductionmentioning

confidence: 99%

The density matrix renormalization group for finite fermi systems

Dukelsky

P̧ittel

2004

Rep. Prog. Phys.

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Abstract. The Density Matrix Renormalization Group (DMRG) was introduced by Steven White in 1992 as a method for accurately describing the properties of onedimensional quantum lattices. The method, as originally introduced, was based on the iterative inclusion of sites on a real-space lattice. Based on its enormous success in that domain, it was subsequently proposed that the DMRG could be modified for use on finite Fermi systems, through the replacement of real-space lattice sites by an appropriately ordered set of single-particle levels. Since then, there has been an enormous amount of work on the subject, ranging from efforts to clarify the optimal means of implementing the algorithm to extensive applications in a variety of fields. In this article, we review these recent developments. Following a description of the realspace DMRG method, we discuss the key steps that were undertaken to modify it for use on finite Fermi systems and then describe its applications to Quantum Chemistry, ultrasmall superconducting grains, finite nuclei and two-dimensional electron systems. We also describe a recent development which permits symmetries to be taken into account consistently throughout the DMRG algorithm. We close with an outlook for future applications of the method.

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Hole and pair structures in the t-J model

Cited by 169 publications

References 34 publications

Low-energy states with different symmetries in thet−Jmodel with two holes on a 32-site lattice

Low-energy states with different symmetries in thet−Jmodel with two holes on a 32-site lattice

Signatures of stripe phases in hole-dopedLa2NiO4

The density matrix renormalization group for finite fermi systems

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