One of the central issues in the study of high-temperature superconducting cuprates which are composed of two-dimensional (2D) CuO 2 planes is whether the 2D systems with strong electron correlation behave as a Fermi liquid or a non-Fermi-liquid-like one-dimensional (1D) system with electron correlation. In this article, we start with the detailed examination of the electronic structure in cuprates and study theoretically the spin and charge dynamics in 1D and 2D cuprates. The theoretical background of spin-charge separation in the 1D model systems including the Hubbard and t - J models is presented. The first direct observation of collective modes of spin and charge excitations in a 1D cuprate, which are called spinons and holons respectively, in angle-resolved photoemission spectroscopy (ARPES) experiments is reviewed in the light of the theoretical results based on the numerically exact-diagonalization method. The charge and spin dynamics in 1D insulating cuprates is also discussed in connection with the spin-charge separation. The arguments are extended to the 2D cuprates, and the unique aspects of the electronic properties of high-temperature superconductors are discussed. Special emphasis is placed on the d-wave-like excitations in insulating 2D cuprates observed in ARPES experiments. We explain how the excitations are caused by the spin-charge separation. The charge stripes observed in the underdoped cuprates are examined in connection with spin-charge separation in real space.One of the central issues in the study of high-temperature superconducting cuprates which are composed of two-dimensional (2D) CuO 2 planes is whether the 2D systems with strong electron correlation behave as a Fermi liquid or a non-Fermi-liquid-like one-dimensional (1D) system with electron correlation. In this article, we start with the detailed examination of the electronic structure in cuprates and study theoretically the spin and charge dynamics in 1D and 2D cuprates. The theoretical background of spin-charge separation in the 1D model systems including the Hubbard and t - J models is presented. The first direct observation of collective modes of spin and charge excitations in a 1D cuprate, which are called spinons and holons respectively, in angle-resolved photoemission spectroscopy (ARPES) experiments is reviewed in the light of the theoretical results based on the numerically exact-diagonalization method. The charge and spin dynamics in 1D insulating cuprates is also discussed in connection with the spin-charge separation. The arguments are extended to the 2D cuprates, and the unique aspects of the electronic properties of high-temperature superconductors are discussed. Special emphasis is placed on the d-wave-like excitations in insulating 2D cuprates observed in ARPES experiments. We explain how the excitations are caused by the spin-charge separation. The charge stripes observed in the underdoped cuprates are examined in connection with spin-charge separation in real space.

Reports on Progress in PhysicsFeb 23, 200150 citations

Polarons leave a trace

Peter Schauß

Spin and charge interplay leads to stringlike excitations in the 2D Hubbard model

ScienceJul 18, 20190 citations

Exact diagonalization study of spin and charge dynamics in the t-J model

Takami Tohyama, Peter Horsch, Sadamichi Maekawa

Physica C SuperconductivityDec 1, 19942 citations

Deviations from Fermi-Liquid Behavior above Tc in 2D Short Coherence Length Superconductors

Nandini Trivedi, Mohit Randeria

We show that there are qualitative differences between the temperature dependence of the spin and charge correlations in the normal state of the 2D attractive Hubbard model using quantum Monte Carlo simulations. The one-particle density of states shows a pseudogap above ${T}_{c}$ with a depleted $N\left(0\right)$ with decreasing $T$ . The susceptibility ${\ensuremath{\chi}}_{s}$ and the low frequency spin spectral weight track $N\left(0\right)$ , which explains the spin-gap scaling: ${1/T}_{1}T\ensuremath{\sim}{\ensuremath{\chi}}_{s}\left(T\right)$. However, collective excitations contribute to the charge channel, and the compressibility $dn/d\ensuremath{\mu}$ is $T$ independent. This anomalous ``spin-charge separation'' is shown to exist even at intermediate $|U|$ where the momentum distribution $n\left(\mathbf{k}\right)$ gives evidence for a degenerate Fermi system.We show that there are qualitative differences between the temperature dependence of the spin and charge correlations in the normal state of the 2D attractive Hubbard model using quantum Monte Carlo simulations. The one-particle density of states shows a pseudogap above ${T}_{c}$ with a depleted $N\left(0\right)$ with decreasing $T$. The susceptibility ${\ensuremath{\chi}}_{s}$ and the low frequency spin spectral weight track $N\left(0\right)$, which explains the spin-gap scaling: ${1/T}_{1}T\ensuremath{\sim}{\ensuremath{\chi}}_{s}\left(T\right)$. However, collective excitations contribute to the charge channel, and the compressibility $dn/d\ensuremath{\mu}$ is $T$ independent. This anomalous ``spin-charge separation'' is shown to exist even at intermediate $|U|$ where the momentum distribution $n\left(\mathbf{k}\right)$ gives evidence for a degenerate Fermi system.

arXiv:cond-mat/9411121Physical Review LettersJul 10, 1995215 citations

{T}_{c}

with a depleted

N\left(0\right)

with decreasing

T

. The susceptibility ${\ensuremath{\chi}}_{s}$ and the low frequency spin spectral weight track

N\left(0\right)

, which explains the spin-gap scaling: ${1/T}_{1}T\ensuremath{\sim}{\ensuremath{\chi}}_{s}\left(T\right)$. However, collective excitations contribute to the charge channel, and the compressibility $dn/d\ensuremath{\mu}$ is

T

independent. This anomalous ``spin-charge separation'' is shown to exist even at intermediate

|U|

where the momentum distribution

n\left(\mathbf{k}\right)

gives evidence for a degenerate Fermi system.