Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/9401039

Non-Fermi-Liquid-Like Behavior in The Two-Dimensional t-J Model

Y. C. Chen, T. K. Lee

Published Jan 19, 1994• 0 citations
arXivHTMLPDF

Abstract

The spin, charge and pairing correlation functions for the ground state of two-dimensional $t-J$ model are calculated by using the power method which projects out the ground state from a variational wave function. ``Exact'' results are obtained for $10\times10$ and $8\times8$ lattices with low particle densities. The results are surprisingly similar to that of one-dimensional $t-J$ model. The phenomenology is almost perfectly correlated with the concept of Tomonaga-Luttinger liquid and it is incompatible with traditional Fermi liquid theory.

DOI
10.48550/arxiv.cond-mat/9401039

Related papers

Phase diagram of the one-dimensional t-J model from variational theory

C. Stephen Hellberg, E. J. Melé

We study a class of variational wave functions for strongly interacting one-dimensional lattice fermions in which correlations among the particles are specified by a single variational parameter. We find that the wave functions describe the ground-state properties of the one-dimensional t-J model remarkably well over the entire phase diagram in which interaction strength and density are varied. Specifically the wave function describes a Tomonaga-Luttinger liquid at low J/t, a phase-separated state at large J/t, and a stable state with infinite compressibility between these phases at low densities.

Physical Review Letters•Oct 1, 1991•92 citations

Non-Tomonaga-Luttinger-Liquid Behavior of the Ground State of Model One-Dimensional Electron Systems

D. Yoshioka, Masao Ogata

An asymptotically exact ground-state wave function is obtained for one-dimensional electrons of a model Hamiltonian. The Hamiltonian has an arbitrary parameter. Tomonaga-Luttinger (TL)-liquid-like behavior for a small value of the parameter changes gradually into non-TL-liquid behavior as the parameter is increased. Parameter dependence of the momentum distribution function and the structure factor are investigated numerically for small systems.

Journal of the Physical Society of Japan•Sep 15, 1993•2 citations

Variational state based on the Bethe-ansatz solution and a correlated singlet liquid state in the one-dimensionalt-Jmodel

Kenji Kobayashi, C. Ohe, Kaoru Iguchi

The one-dimensional t-J model is investigated by the variational Monte Carlo method. A variational wave function based on the Bethe-ansatz solution is proposed, where the spin-charge separation is realized and a long-range correlation factor of Jastrow-type is included. In most regions of the phase diagram, this wave function provides an excellent description of the ground-state properties characterized as a Tomonaga-Luttinger liquid; both the amplitude and exponent of correlation functions are correctly reproduced. For the spin-gap phase, another trial state of correlated singlet pairs with a Jastrow factor is introduced. This wave function shows generalized Luther-Emery-liquid behavior, exhibiting enhanced superconducting correlations and exponential decay of the spin correlation function. Using these two variational wave functions, the whole phase diagram is determined. In addition, relations between the correlation exponent and variational parameters in the trial functions are derived. \textcopyright{} 1996 The American Physical Society.

arXiv:cond-mat/9608114•Physical review. B, Condensed matter•Nov 1, 1996•4 citations

One-dimensionalt-Jmodel from a variational viewpoint

Hisatoshi Yokoyama, Masao Ogata

The one-dimensional (1D) t-J model is investigated by using a Gutzwiller-Jastrow-type variation method and the exact diagonalization of small systems. Variational expectation values are estimated by the variational Monte Carlo method with sufficient accuracy. First, we give detailed descriptions of the preceding paper [Phys. Rev. Lett. 67, 3610 (1991)], where we discussed the properties of the Fermi-liquid-type Jastrow wave function as well as the Gutzwiller wave function. Secondly, these wave functions are compared with the Tomonaga-Luttinger-liquid-type wave function proposed by Hellberg and Mele. It is found that the correlation factors in short distances control bulk quantities like energy and the magnitude of the correlation functions, while the long-range part of the correlation factors determines the critical behavior of correlation functions. Finally, using these functions, charge, spin susceptibilities, and magnetization curve are estimated, which agree with the exact results. It is shown that the Mott transition in the 1D t-J model is quite different from the Brinkman-Rice transition. \textcopyright{} 1996 The American Physical Society.

arXiv:cond-mat/9506142•Physical review. B, Condensed matter•Mar 1, 1996•14 citations

Non–Fermi-Liquid Exponents of the One-Dimensional Hubbard Model

Sandro Sorella, Alberto Parola, Michele Parrinello +1 more

We have applied newly numerical schemes to study the ground-state properties of the 1D Hubbard model. Through finite-size scaling, we determine the singularity of the momentum distribution at k F and the power law decay of the spin and charge correlations in real space. Our results confirm the non-Fermi-liquid nature of the system. The model is shown to scale to the Tomonaga-Luttinger model even in the large- U regime where perturbative results are invalid.

Europhysics Letters (EPL)•Aug 15, 1990•70 citations

Ground State Properties of Strongly Correlated Fermion Systems

C. Stephen Hellberg

We present very general techniques for investigating strongly correlated lattice fermions in one dimension. We derive a variational wave function with a long ranged Jastrow factor that automatically satisfies the no double occupancy constraint present in many model Hamiltonians. The wave function is shown to be a generalized Luttinger liquid, and we use it to estimate ground state properties of the strongly correlated Hubbard model and the t-J model. We develop a numerical method to project the ground state from an arbitrary trial state. With the Luttinger liquid wave function as the initial guess, we calculate the exact ground state phase diagram of the t-J model. We discover a new phase in the model where Luttinger liquid behavior breaks down and superconducting correlations dominate the long range behavior of the system.

•Jan 1, 1993•0 citations
The spin, charge and pairing correlation functions for the ground state of two-dimensional t−Jt-Jt−J model are calculated by using the power method which projects out the ground state from a variational wave function. ``Exact'' results are obtained for 10×1010\times1010×10 and 8×88\times88×8 lattices with low particle densities. The results are surprisingly similar to that of one-dimensional t−Jt-Jt−J model. The phenomenology is almost perfectly correlated with the concept of Tomonaga-Luttinger liquid and it is incompatible with traditional Fermi liquid theory.
We study a class of variational wave functions for strongly interacting one-dimensional lattice fermions in which correlations among the particles are specified by a single variational parameter. We find that the wave functions describe the ground-state properties of the one-dimensional t-J model remarkably well over the entire phase diagram in which interaction strength and density are varied. Specifically the wave function describes a Tomonaga-Luttinger liquid at low J/t, a phase-separated state at large J/t, and a stable state with infinite compressibility between these phases at low densities.
The one-dimensional t-J model is investigated by the variational Monte Carlo method. A variational wave function based on the Bethe-ansatz solution is proposed, where the spin-charge separation is realized and a long-range correlation factor of Jastrow-type is included. In most regions of the phase diagram, this wave function provides an excellent description of the ground-state properties characterized as a Tomonaga-Luttinger liquid; both the amplitude and exponent of correlation functions are correctly reproduced. For the spin-gap phase, another trial state of correlated singlet pairs with a Jastrow factor is introduced. This wave function shows generalized Luther-Emery-liquid behavior, exhibiting enhanced superconducting correlations and exponential decay of the spin correlation function. Using these two variational wave functions, the whole phase diagram is determined. In addition, relations between the correlation exponent and variational parameters in the trial functions are derived. \textcopyright{} 1996 The American Physical Society.
The one-dimensional (1D) t-J model is investigated by using a Gutzwiller-Jastrow-type variation method and the exact diagonalization of small systems. Variational expectation values are estimated by the variational Monte Carlo method with sufficient accuracy. First, we give detailed descriptions of the preceding paper [Phys. Rev. Lett. 67, 3610 (1991)], where we discussed the properties of the Fermi-liquid-type Jastrow wave function as well as the Gutzwiller wave function. Secondly, these wave functions are compared with the Tomonaga-Luttinger-liquid-type wave function proposed by Hellberg and Mele. It is found that the correlation factors in short distances control bulk quantities like energy and the magnitude of the correlation functions, while the long-range part of the correlation factors determines the critical behavior of correlation functions. Finally, using these functions, charge, spin susceptibilities, and magnetization curve are estimated, which agree with the exact results. It is shown that the Mott transition in the 1D t-J model is quite different from the Brinkman-Rice transition. \textcopyright{} 1996 The American Physical Society.
We present very general techniques for investigating strongly correlated lattice fermions in one dimension. We derive a variational wave function with a long ranged Jastrow factor that automatically satisfies the no double occupancy constraint present in many model Hamiltonians. The wave function is shown to be a generalized Luttinger liquid, and we use it to estimate ground state properties of the strongly correlated Hubbard model and the t-J model. We develop a numerical method to project the ground state from an arbitrary trial state. With the Luttinger liquid wave function as the initial guess, we calculate the exact ground state phase diagram of the t-J model. We discover a new phase in the model where Luttinger liquid behavior breaks down and superconducting correlations dominate the long range behavior of the system.