Loop-expansion study of the single-hole spectral function in the<i>t</i>-<i>J</i>model

Liu, Zhi-Ping; Manousakis, Efstratios

doi:10.1103/physrevb.51.3156

Cited by 24 publications

(36 citation statements)

References 15 publications

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“…as a quasiparticle consisting of a hole and a cloud of spin excitations. The AF spin-polaron concept was put forward in earlier works of Bulaevskii et al [11] and Brinkman et al [20], and then developed in a number of more recent papers [12][13][14][21][22][23][24][25][26][27][28] using different techniques.…”

Section: A Analytical Resultsmentioning

confidence: 99%

“…The single-hole problem has been treated analytically in detail [11][12][13][14]20,[22][23][24][25][26][27]30]. Grouping these efforts, two approaches in treating this problem were used: (i) the self-consistent Born approximation (SCBA) (e.g., see Refs.…”

Section: A Analytical Resultsmentioning

confidence: 99%

“…A common and apparently successful theory of a single hole moving in an AF aligned background involves the so-called spin polaron [11][12][13][14]. According to the spin-polaron idea, the hole in its movement disturbs the magnetic background that one can formally describe as the strong coupling of the hole and spin degrees of freedom.…”

Section: Introductionmentioning

confidence: 99%

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A NUMERICAL AND ANALYTICAL STUDY OF TWO HOLES DOPED INTO THE 2D t–J MODEL

Chernyshev

Leung

Gooding

1998

Journal of Physics and Chemistry of Solids

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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 2 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(kx) − cos(ky)) term is only one of many important contributions to the d-wave symmetry pair wave function.

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Section: A Analytical Resultsmentioning

confidence: 99%

Section: A Analytical Resultsmentioning

confidence: 99%

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A NUMERICAL AND ANALYTICAL STUDY OF TWO HOLES DOPED INTO THE 2D t–J MODEL

Chernyshev

Leung

Gooding

1998

Journal of Physics and Chemistry of Solids

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“…This problem has already been studied in a number of papers 9,10,[16][17][18][19][20][21][22][23][24] . The main contribution to the hole motion is the following: The motion of the hole locally destroys the antiferromagnetic spin order leading to a string of spin defects.…”

Section: Hole Motion (Revisited)mentioning

confidence: 99%

“…III this formalism is applied to the motion of a single hole generated in the ground state of a quantum antiferromagnet at half-filling. This problem was already investigated by a number of authors 9,10,[16][17][18][19][20][21][22][23][24] . Our first aim is to show that our approach is able to reproduce results known from literature, see for instance review articles 14,15 .…”

Section: Introductionmentioning

confidence: 99%

Cumulant approach to weakly doped antiferromagnets

Vojta

Becker

1996

Phys. Rev. B

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We present a new approach to static and dynamical properties of holes and spins in weakly doped antiferromagnets in two dimensions. The calculations are based on a recently introduced cumulant approach to ground-state properties of correlated electronic systems. The present method allows to evaluate hole and spin-wave dispersion relations by considering hole or spin excitations of the ground state. Usually, these dispersions are found from time-dependent correlation functions. To demonstrate the ability of the approach we first derive the dispersion relation for the lowest single hole excitation at half-filling. However, the main purpose of this paper is to focus on the mutual influence of mobile holes and spin waves in the weakly doped system. It is shown that low-energy spin excitations strongly admix to the ground-state. The coupling of spin waves and holes leads to a strong suppression of the staggered magnetization which can not be explained by a simple rigid-band picture for the hole quasiparticles. Also the experimentally observed doping dependence of the spin-wave excitation energies can be understood within our formalism.

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