arXiv:2002.04041 · Physical Review Research

Slave-boson description of pseudogap metals in t−J models

Julia Brunkert, Matthias Punk

Published Oct 2, 2020• 5 citations

Abstract

This work discusses a modified slave-boson representation of the t-J model, which accounts for spinon-holon bound states and gives rise to a metallic pseudogap phase with sharp, Fermi-arc like features in the electron spectral function.

DOI: 10.1103/physrevresearch.2.043019

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arXiv:2002.04041 · Physical Review Research

Slave-boson description of pseudogap metals in t−J models

Julia Brunkert, Matthias Punk

Published Oct 2, 2020• 5 citations

arXiv HTML PDF

Abstract

DOI: 10.1103/physrevresearch.2.043019

Related papers

Spinon-holon binding in t−J model

Tai Kai Ng

Using a phenomenological model, we discuss the consequences of spinon-holon binding in the $U(1)$ slave-boson approach to $t\text{\ensuremath{-}}J$ model in the weak-coupling limit. We find that spinon-holon binding produces a pseudogap normal state with a segmented Fermi surface and the superconducting state is formed by opening an ``additional'' $d$ -wave gap on the segmented Fermi surface. The $d$ -wave gap merges with the pseudogap smoothly as temperature $T\ensuremath{\rightarrow}0$. The quasiparticles in the superconducting state are coupled to external electromagnetic field with a coupling constant of order ${x}^{\ensuremath{\gamma}∕2}\phantom{\rule{0.3em}{0ex}}(x=\text{hole concentration})$, where $0\ensuremath{\leqslant}\ensuremath{\gamma}\ensuremath{\leqslant}1$.Using a phenomenological model, we discuss the consequences of spinon-holon binding in the $U(1)$ slave-boson approach to $t\text{\ensuremath{-}}J$ model in the weak-coupling limit. We find that spinon-holon binding produces a pseudogap normal state with a segmented Fermi surface and the superconducting state is formed by opening an ``additional'' $d$-wave gap on the segmented Fermi surface. The $d$-wave gap merges with the pseudogap smoothly as temperature $T\ensuremath{\rightarrow}0$. The quasiparticles in the superconducting state are coupled to external electromagnetic field with a coupling constant of order ${x}^{\ensuremath{\gamma}∕2}\phantom{\rule{0.3em}{0ex}}(x=\text{hole concentration})$, where $0\ensuremath{\leqslant}\ensuremath{\gamma}\ensuremath{\leqslant}1$.

arXiv:cond-mat/0408374Physical Review BMay 27, 200525 citations

t-J model in slave fermion formulation-holon-holon interactions

Tzanko Ivanov

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We show that the presence of Fermi or non-Fermi liquid behavior in the $\mathrm{SU}(N)\ifmmode\times\else\texttimes\fi{}\mathrm{SU}(M)$ Anderson impurity models may be read off the infrared threshold exponents governing the spinon and holon dynamics in a slave boson representation of these models. We construct a conserving $T$ -matrix approximation which recovers the exact exponents with good numerical accuracy. Our approximation includes both coherent spin flip scattering and charge fluctuation processes. For the single-channel case the tendency to form bound states drastically modifies the low energy behavior. For the multichannel case in the Kondo limit the bound state contributions are unimportant.We show that the presence of Fermi or non-Fermi liquid behavior in the $\mathrm{SU}(N)\ifmmode\times\else\texttimes\fi{}\mathrm{SU}(M)$ Anderson impurity models may be read off the infrared threshold exponents governing the spinon and holon dynamics in a slave boson representation of these models. We construct a conserving $T$-matrix approximation which recovers the exact exponents with good numerical accuracy. Our approximation includes both coherent spin flip scattering and charge fluctuation processes. For the single-channel case the tendency to form bound states drastically modifies the low energy behavior. For the multichannel case in the Kondo limit the bound state contributions are unimportant.

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Qingshan Yuan, Feng Yuan, C. S. Ting

Bulletin of the American Physical SocietyMar 23, 20050 citations

Using a phenomenological model, we discuss the consequences of spinon-holon binding in the

U(1)

slave-boson approach to $t\text{\ensuremath{-}}J$ model in the weak-coupling limit. We find that spinon-holon binding produces a pseudogap normal state with a segmented Fermi surface and the superconducting state is formed by opening an ``additional''

d

-wave gap on the segmented Fermi surface. The

d

-wave gap merges with the pseudogap smoothly as temperature $T\ensuremath{\rightarrow}0$. The quasiparticles in the superconducting state are coupled to external electromagnetic field with a coupling constant of order ${x}^{\ensuremath{\gamma}∕2}\phantom{\rule{0.3em}{0ex}}(x=\text{hole concentration})$, where $0\ensuremath{\leqslant}\ensuremath{\gamma}\ensuremath{\leqslant}1$.

T

-matrix approximation which recovers the exact exponents with good numerical accuracy. Our approximation includes both coherent spin flip scattering and charge fluctuation processes. For the single-channel case the tendency to form bound states drastically modifies the low energy behavior. For the multichannel case in the Kondo limit the bound state contributions are unimportant.

d

-wave form, in accordance with various experimental results on underdoped cuprates.

Slave-boson approach to the

t

t'

t''

U

model applied to electron-doped cuprates