Hole dynamics in a strongly correlated two-dimensional spin background

Fehske, Holger; Waas, V.; Röder, Heinrich; Büttner, H.

doi:10.1103/physrevb.44.8473

Cited by 45 publications

(31 citation statements)

References 66 publications

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“…ED results for two holes on finite clusters consistently show that they are coupled in a bound state with d x 2 Ϫy 2 symmetry in a wide range of J/t, 44,46,47,49,50,52,55,56,61,[67][68][69]72 in agreement with earlier ED data for the 16-site Hubbard model, 73,74 the Green's function Monte Carlo studies on 8 ϫ8 cluster, 75 and some theories. 17,19,[36][37][38][39]76 Low-lying states with other symmetries, as well as k (0,0) states, have also been studied.…”

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confidence: 78%

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Comprehensive numerical and analytical study of two holes doped into the two-dimensionalt−Jmodel

1998

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We report on a detailed examination of numerical results and analytical calculations devoted to a study of two holes doped into a two-dimensional, square lattice described by the t-J model. Our exact diagonalization numerical results represent the first solution of the exact ground state of two holes in a 32-site lattice. Using this wave function, we have calculated several important correlation functions, notably the electron momentum distribution function and the hole-hole spatial correlation function. Further, by studying similar quantities on smaller lattices, we have managed to perform a finite-size scaling analysis. We have augmented this work by endeavouring to compare these results to the predictions of analytical work for two holes moving in an infinite lattice. This analysis relies on the canonical transformation approach formulated recently for the t-J model. From this comparison we find excellent correspondence between our numerical data and our analytical calculations. We believe that this agreement is an important step helping to justify the quasiparticle Hamiltonian, and, in particular, the quasiparticle interactions that result from the canonical transformation approach. Also, the analytical work allows us to critique the finite-size scaling ansatzes used in our analysis of the numerical data. One important feature that we can infer from this successful comparison involves the role of higher harmonics in the two-particle, d-wave symmetry bound state-the conventional ͓cos(k x )Ϫcos(k y )͔ term is only one of many important contributions to the d-wave symmetry pair wave function. ͓S0163-1829͑98͒04044-2͔

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supporting

confidence: 78%

“…One-and two-hole ground states have been investigated in great detail on the 16-(4ϫ4), [44][45][46][47][48][49][50][51][52] 18-(ͱ18ϫͱ18), 20-(ͱ20ϫͱ20), [53][54][55][56][57][58][59][60][61][62] and 26-site (ͱ26 ϫͱ26) ͑Refs. 63-69͒ clusters.…”

Section: B Numerical Studiesmentioning

confidence: 99%

Comprehensive numerical and analytical study of two holes doped into the two-dimensionalt−Jmodel

1998

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“…Variational calculations and numerical studies on larger lattices by other authors have also yielded similar results. [5][6][7][8][9] More recently Hellberg and Manousakis used a Green's function Monte Carlo technique and found results in agreement with Emery et al, i.e. PS at all interaction strengths close to half filling.…”

Section: Introductionsupporting

confidence: 73%

Phase separation int−Jladders

2000

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The phase separation boundary of isotropic t-J ladders is analyzed using density matrix renormalization group techniques. The complete boundary to phase separation as a function of J/t and doping is determined for a chain and for ladders with two, three and four legs. Six-chain ladders have been analyzed at low hole doping. We use a direct approach in which the phase separation boundary is determined by measuring the hole density in the part of the system which contains both electrons and holes. In addition we examine the binding energy of multi-hole clusters. An extrapolation in the number of legs suggests that the lowest J/t for phase separation to occur in the two dimensional t-J model is J/t ∼ 1.

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“…where individual holes are unstable towards pair formation, but not necessarily towards phase separation which starts at a larger coupling similar to that given by the high temperature expansions (and it is roughly signaled by the tendency of four holes to form a bound state which roughly starts at Jlt '" 1). Similar conclusions using larger clusters were obtained by Fehske et al, 107 Roder et al}66 and by Prelovsek and …”

Section: Phase Separationsupporting

confidence: 90%

High Temperature Superconductors: A Review

Dagotto

1995

Recent Progress in Many-Body Theories

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Hole dynamics in a strongly correlated two-dimensional spin background

Cited by 45 publications

References 66 publications

Comprehensive numerical and analytical study of two holes doped into the two-dimensionalt−Jmodel

Comprehensive numerical and analytical study of two holes doped into the two-dimensionalt−Jmodel

Phase separation int−Jladders

High Temperature Superconductors: A Review

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