© 2026 Aqora Quantum S.A.S.

Terms Privacy Legal Notice

arXiv:cond-mat/9304011 · Physical review. B, Condensed matter

Slave-particle studies of the electron-momentum distribution in the low-dimensionalt-Jmodel

Shiping Feng, J. B. Wu, Zhixun Su, L. Yu

Published Jun 1, 1993• 39 citations

Abstract

The electron-momentum distribution function in the t-J model is studied in the framework of the slave-particle approach. Within the decoupling scheme used in gauge-field and related theories, we treat formally phase and amplitude fluctuations as well as constraints without further approximations. Our result indicates that the electron Fermi surface observed in high-resolution angle-resolved photoemission and inverse-photoemission experiments cannot be explained within this framework, and the sum rule for the physical electron is not obeyed. A correct scaling behavior of the electron-momentum distribution function near k\ensuremath{\sim}${\mathit{k}}_{\mathit{F}}$ and k\ensuremath{\sim}3${\mathit{k}}_{\mathit{F}}$ in one dimension can be reproduced by considering the nonlocal string fields [Z. Y. Weng et al., Phys. Rev. B 45, 7850 (1992)], but the overall momentum distribution is still not correct, at least at the mean-field level.

DOI: 10.1103/physrevb.47.15192

Related papers

Slave-particle quantization and sum rules in thet-Jmodel

J. C. Le Guillou, E. Ragoucy

In the framework of constrained systems, we give the classical Hamiltonian formulation of slave-particle models and their correct quantization. The electron-momentum distribution function in the t-J and Hubbard models is then studied in the framework of slave-particle approaches and within the decoupling scheme. We show that criticisms that have been addressed in this context coming from a violation of the sum rule for the physical electron are not valid. Due to the correct quantization rules for the slave particles, the sum rule for the physical electron is indeed obeyed, both exactly and within the decoupling scheme.

arXiv:cond-mat/9508042•Physical review. B, Condensed matter•Jul 15, 1995•43 citations

Flux binding and superconductivity in thet-Jmodel

Zheng-Yu Weng, D. N. Sheng, C. S. Ting

A generalized slave-particle scheme is introduced to study the t-J model with nonlocal effects included. A charge-spin decoupled state is found in this scheme, in which the nonlocal gauge fields play a role of attaching fictitious quantized fluxes to the particles as an effective way to describe antiferromagnetic correlation. As a result, the gauge fluctuation is suppressed in the long-wavelength limit, which shows the stability of flux binding, and the electromagnetic response function of such a state exhibits the Meissner effect. An important consequence of the present approach is that the electron, as a combination of the charge and spin degrees of freedom, does not show time-reversal and parity-symmetry-broken behavior, in contrast to the usual anyon theory. This is consistent with experimental results. The robustness of this conclusion relies on the exactness of the constraint between the charge and spin degrees of freedom as well as the flux binding condition. We also calculate the momentum distribution of electrons, which shows a characteristic scale equal to the Fermi momentum ${\mathit{k}}_{\mathit{f}}$.

Physical review. B, Condensed matter•Jan 1, 1994•10 citations

g-on Mean Field Theory of thet-JModel

Flordivino Basco, Hiroshi Kohno, Hidetoshi Fukuyama +1 more

Implication of our recent proposal [J. Phys. Soc. Jpn. 65 (1996) 687] to treat large-amplitude gauge-field fluctuations around the slave-boson mean-field theory for the t-J model has been explored in detail. By attaching gauge flux to spinons and holons and then treating them as free g-on's which respect the time-reversal symmetry, the optimum exclusion (g) and exchange (\a) statistics have been determined in the plane of doping rate and temperature. Two different relations between \a and g have been investigated, namely g=|\a| (Case1) and g=|\a|(2-|\a|) (Case2). The results indicate that slave fermion is favored at low doping while slave boson at high doping. For two dimension, in Case1 intermediate statistics are found in between, while in Case2 no intermediate statistics are found. The consequences of varying the dimensionality and strength of J have been studied also. The latter has no qualitative effect for both cases, while the former has a profound effect in Case1.

arXiv:cond-mat/9608122•Journal of the Physical Society of Japan•Mar 15, 1996•9 citations

Momentum distribution function for the two-dimensionalt-Jmodel

Rajiv R. P. Singh, Rodney L. Glenister

We study the momentum distribution function n(k) for the two-dimensional t-J model by high-temperature expansions. Starting with a k-independent n(k) at T=\ensuremath{\infty}, we observe the buildup of a sharp Fermi-surface-like feature as the temperature is lowered. For very small density of electrons, our results are clearly consistent with Luttinger's theorem. At all fillings the contours of constant n(k) closely resemble those of the tight-binding model. No evidence for pocketlike Fermi surfaces is seen. Far from the Fermi surface n(k) has a particle-hole asymmetry similar to that found in the one-dimensional, U=\ensuremath{\infty} Hubbard model.

Physical review. B, Condensed matter•Dec 1, 1992•33 citations

CHARGE-SPIN SEPARATION, FRACTIONAL STATISTICS AND SUPERCONDUCTIVITY IN THE t-J MODEL

Zheng-Yu Weng, D. N. Sheng, C. S. Ting

A generalized slave-particle scheme is introduced to the t-J model including the non-local effects. We find a charge-spin decoupled state in which the non-local gauge fields play the roles of statistics-transmutation. As a result, the gauge fluctuation becomes massive and the electromagnetic response function exhibits the Meissner effect, like in the free-semion system, but without breaking the time-reversal and parity symmetries due to the cancellation between charge and spin degrees of freedom in the low-energy, long-wavelength regime. We also calculate the momentum distribution of electrons which shows a characteristic scale equals to the Fermi momentum kf.

Modern Physics Letters B•Apr 10, 1993•1 citation

Spin-charge separation in angle-resolved photoemission spectra

Hidekatsu Suzuura, Naoto Nagaosa

The implications of angle-resolved photoemission spectroscopy on the issue of spin-charge separation are discussed from the viewpoint of slave-particle resonating-valence-bond theories. It is pointed out that the nonlocal phase string is essential to reproduce the two-peak structure experimentally observed in SrCuO${}_{2}$. The comparison between one-dimensional and two-dimensional cases is also made.

arXiv:cond-mat/9702212•Physical review. B, Condensed matter•Aug 15, 1997•44 citations

The electron-momentum distribution function in the t-J model is studied in the framework of the slave-particle approach. Within the decoupling scheme used in gauge-field and related theories, we treat formally phase and amplitude fluctuations as well as constraints without further approximations. Our result indicates that the electron Fermi surface observed in high-resolution angle-resolved photoemission and inverse-photoemission experiments cannot be explained within this framework, and the sum rule for the physical electron is not obeyed. A correct scaling behavior of the electron-momentum distribution function near k\ensuremath{\sim}

{\mathit{k}}_{\mathit{F}}

and k\ensuremath{\sim}3

{\mathit{k}}_{\mathit{F}}

in one dimension can be reproduced by considering the nonlocal string fields [Z. Y. Weng et al., Phys. Rev. B 45, 7850 (1992)], but the overall momentum distribution is still not correct, at least at the mean-field level.

In the framework of constrained systems, we give the classical Hamiltonian formulation of slave-particle models and their correct quantization. The electron-momentum distribution function in the t-J and Hubbard models is then studied in the framework of slave-particle approaches and within the decoupling scheme. We show that criticisms that have been addressed in this context coming from a violation of the sum rule for the physical electron are not valid. Due to the correct quantization rules for the slave particles, the sum rule for the physical electron is indeed obeyed, both exactly and within the decoupling scheme.

A generalized slave-particle scheme is introduced to study the t-J model with nonlocal effects included. A charge-spin decoupled state is found in this scheme, in which the nonlocal gauge fields play a role of attaching fictitious quantized fluxes to the particles as an effective way to describe antiferromagnetic correlation. As a result, the gauge fluctuation is suppressed in the long-wavelength limit, which shows the stability of flux binding, and the electromagnetic response function of such a state exhibits the Meissner effect. An important consequence of the present approach is that the electron, as a combination of the charge and spin degrees of freedom, does not show time-reversal and parity-symmetry-broken behavior, in contrast to the usual anyon theory. This is consistent with experimental results. The robustness of this conclusion relies on the exactness of the constraint between the charge and spin degrees of freedom as well as the flux binding condition. We also calculate the momentum distribution of electrons, which shows a characteristic scale equal to the Fermi momentum

{\mathit{k}}_{\mathit{f}}

.

Implication of our recent proposal [J. Phys. Soc. Jpn. 65 (1996) 687] to treat large-amplitude gauge-field fluctuations around the slave-boson mean-field theory for the t-J model has been explored in detail. By attaching gauge flux to spinons and holons and then treating them as free g-on's which respect the time-reversal symmetry, the optimum exclusion (g) and exchange (\a) statistics have been determined in the plane of doping rate and temperature. Two different relations between \a and g have been investigated, namely g=|\a| (Case1) and g=|\a|(2-|\a|) (Case2). The results indicate that slave fermion is favored at low doping while slave boson at high doping. For two dimension, in Case1 intermediate statistics are found in between, while in Case2 no intermediate statistics are found. The consequences of varying the dimensionality and strength of J have been studied also. The latter has no qualitative effect for both cases, while the former has a profound effect in Case1.

We study the momentum distribution function n(k) for the two-dimensional t-J model by high-temperature expansions. Starting with a k-independent n(k) at T=\ensuremath{\infty}, we observe the buildup of a sharp Fermi-surface-like feature as the temperature is lowered. For very small density of electrons, our results are clearly consistent with Luttinger's theorem. At all fillings the contours of constant n(k) closely resemble those of the tight-binding model. No evidence for pocketlike Fermi surfaces is seen. Far from the Fermi surface n(k) has a particle-hole asymmetry similar to that found in the one-dimensional, U=\ensuremath{\infty} Hubbard model.

A generalized slave-particle scheme is introduced to the t-J model including the non-local effects. We find a charge-spin decoupled state in which the non-local gauge fields play the roles of statistics-transmutation. As a result, the gauge fluctuation becomes massive and the electromagnetic response function exhibits the Meissner effect, like in the free-semion system, but without breaking the time-reversal and parity symmetries due to the cancellation between charge and spin degrees of freedom in the low-energy, long-wavelength regime. We also calculate the momentum distribution of electrons which shows a characteristic scale equals to the Fermi momentum kf.

The implications of angle-resolved photoemission spectroscopy on the issue of spin-charge separation are discussed from the viewpoint of slave-particle resonating-valence-bond theories. It is pointed out that the nonlocal phase string is essential to reproduce the two-peak structure experimentally observed in SrCuO

{}_{2}

. The comparison between one-dimensional and two-dimensional cases is also made.