In a recent letter [Bariev R. Z., Klümper A. and Zittartz J., Europhys. Lett. bf 32, 1995, 85.], a Hamiltonian for a system of correlated electrons in one-dimension was presented. (...) The objective of this comment is to make it apparent that the above model, with appropriate modifications, is the quantum analogue of the supersymmetric U model of ref.[2]. [2] Bracken A. J., Gould M. D., Links J. R. and Zhang Y.-Z., Phys. Rev. Lett. 74 , 1994, 2768.

Europhysics Letters (EPL)Jun 10, 19961 citation

Exact solution of a polaron model in one dimension

Fu‐Cho Pu, Bao‐Heng Zhao

Physics Letters ASep 1, 198628 citations

Physical Review Letters

Field-theoretical approach to the dynamical many-polaron system in one spatial dimension

Johannes Voit, Heinz J. Schulz

Published Jul 20, 1987• 1 citation

Publisher

Abstract

A Comment on the Letter by E. C. Marino, Phys. Rev. Lett. 55, 2991 (1985).

DOI: 10.1103/physrevlett.59.370

Related papers

Comment on "High-Spin Polaron in Lightly Doped CuO $_2$ Planes"Comment on "High-Spin Polaron in Lightly Doped CuO$_2$ Planes"

Wei‐Cheng Lee, T. K. Lee

In a recent Letter (Phys. Rev. Lett. 106, 036401 (2011)), Lau, et al. investigated the single hole problem in an effective model containing Cu $d$ and O $2p$ orbitals by exact diagonalization on clusters composed of 32 CuO $_2$ unit cells. With full quantum fluctuations due to the antiferromagnetic (AFM) backgroud, they found that spin-polaron solutions with spin 3/2 become lowest energy solutions in certain region of Brillouin zone (BZ), which they claimed no similiar solutions were obtained in other models or approximations before. In this Comment, we would like to point out that such high-spin polaron solutions have been found in our previous Letter (Phys. Rev. Lett. 91, 057001, (2003)) and many of features described by Lau et al. have in fact been seen in our Letter.In a recent Letter (Phys. Rev. Lett. 106, 036401 (2011)), Lau, et al. investigated the single hole problem in an effective model containing Cu $d$ and O $2p$ orbitals by exact diagonalization on clusters composed of 32 CuO$_2$ unit cells. With full quantum fluctuations due to the antiferromagnetic (AFM) backgroud, they found that spin-polaron solutions with spin 3/2 become lowest energy solutions in certain region of Brillouin zone (BZ), which they claimed no similiar solutions were obtained in other models or approximations before. In this Comment, we would like to point out that such high-spin polaron solutions have been found in our previous Letter (Phys. Rev. Lett. 91, 057001, (2003)) and many of features described by Lau et al. have in fact been seen in our Letter.

arXiv:1108.5413Aug 27, 20111 citation

Comments on polaron–phonon scattering theory

A. V. Tulub

Theoretical and Mathematical PhysicsOct 1, 20155 citations

Comment on “Analytic Structure of One-Dimensional Localization Theory: Reexamining Mott's Law”

M. M. Fogler, Ziqiang Wang

The low-frequency conductivity of a disordered Fermi gas in one spatial dimension is governed by the Mott-Berezinskii law $σ(ω) \propto ω^2 \ln ω^2$ . In a recent Letter [Phys. Rev. Lett. 84, 1760 (2000)] A. O. Gogolin claimed that this law is invalid, challenging our basic understanding of disordered systems and a massive amount of previous theoretical work. We point out two calculational errors in Gogolin's paper. Once we correct them, the Mott-Berezinskii formula is fully recovered. We also present numerical results supporting the Mott-Berezinskii formula but ruling out that of Gogolin.The low-frequency conductivity of a disordered Fermi gas in one spatial dimension is governed by the Mott-Berezinskii law $σ(ω) \propto ω^2 \ln ω^2$. In a recent Letter [Phys. Rev. Lett. 84, 1760 (2000)] A. O. Gogolin claimed that this law is invalid, challenging our basic understanding of disordered systems and a massive amount of previous theoretical work. We point out two calculational errors in Gogolin's paper. Once we correct them, the Mott-Berezinskii formula is fully recovered. We also present numerical results supporting the Mott-Berezinskii formula but ruling out that of Gogolin.

arXiv:cond-mat/0011032Physical Review LettersMay 14, 20014 citations

Some approaches to polaron theory

Nikolay N. Bogolubov, Nikolay N. Bogolubov

Foundations of PhysicsNov 1, 19852 citations

Comment on “A new integrable two-parameter model of strongly correlated electrons in one dimension”

Katrina Hibberd

Europhysics Letters (EPL)Jun 10, 19961 citation

Exact solution of a polaron model in one dimension

Fu‐Cho Pu, Bao‐Heng Zhao

Physics Letters ASep 1, 198628 citations

Comment on "High-Spin Polaron in Lightly Doped CuO

_2

Planes"

In a recent Letter (Phys. Rev. Lett. 106, 036401 (2011)), Lau, et al. investigated the single hole problem in an effective model containing Cu

d

and O

2p

orbitals by exact diagonalization on clusters composed of 32 CuO

_2

unit cells. With full quantum fluctuations due to the antiferromagnetic (AFM) backgroud, they found that spin-polaron solutions with spin 3/2 become lowest energy solutions in certain region of Brillouin zone (BZ), which they claimed no similiar solutions were obtained in other models or approximations before. In this Comment, we would like to point out that such high-spin polaron solutions have been found in our previous Letter (Phys. Rev. Lett. 91, 057001, (2003)) and many of features described by Lau et al. have in fact been seen in our Letter.

The low-frequency conductivity of a disordered Fermi gas in one spatial dimension is governed by the Mott-Berezinskii law

σ(ω) \propto ω^2 \ln ω^2

. In a recent Letter [Phys. Rev. Lett. 84, 1760 (2000)] A. O. Gogolin claimed that this law is invalid, challenging our basic understanding of disordered systems and a massive amount of previous theoretical work. We point out two calculational errors in Gogolin's paper. Once we correct them, the Mott-Berezinskii formula is fully recovered. We also present numerical results supporting the Mott-Berezinskii formula but ruling out that of Gogolin.