Ladder-like optical conductivity in the spin-fermion model

Abstract

In the nested limit of the spin-fermion model for the cuprates, one-dimensional physics in the form of half-filled two-leg ladders emerges. We show that the renormalization group flow of the corresponding ladder is towards the d-Mott phase, a gapped spin-liquid with short-ranged d-wave pairing correlations, and reveals an intermediate SO(5)$\times$SO(3) symmetry. We use the results of the renormalization group in combination with a memory-function approach to calculate the optical conductivity of the spin-fermion model in the high-frequency regime, where processes within the hot spot region dominate the transport. We argue that umklapp processes play a major role. For finite temperatures, we determine the resistivity in the zero-frequency (dc) limit. Our results show an approximate linear temperature dependence of the resistivity and a conductivity that follows a non-universal power law. A comparison to experimental data supports our assumption that the conductivity is dominated by the antinodal contribution above the pseudogap.

arXiv comment11+2 pages, 8 figures

References in corpus (44)

• The pseudogap in high-temperature superconductors: an experimental survey
• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• Bosonization and Strongly Correlated Systems
• Theory of Intertwined Orders in High Temperature Superconductors
• Heavy Fermions and Quantum Phase Transitions
• The pseudogap: friend or foe of high Tc?
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Experiments on Ladders Reveal a Complex Interplay between a Spin-Gapped Normal State and Superconductivity
• Weak Coupling Phase Diagram of the Two Chain Hubbard Model
• Energy gaps in high-transition temperature cuprate superconductors
• SO(5) Theory of Antiferromagnetism and Superconductivity
• Exact SO(8) Symmetry in the Weakly-Interacting Two-Leg Ladder
• Phenomenology of the normal state in-plane transport properties of high-$T_c$ cuprates
• Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals
• Spin-fermion model near the quantum critical point: one-loop renormalization group results
• Conductivity of a clean one-dimensional wire
• Evidence for a Fermi liquid in the pseudogap phase of high-Tc cuprates
• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Spin Gap Fixed Points in the Double Chain Problem
• Gauge theory for the cuprates near optimal doping
• An SO(5) Symmetric Ladder
• Competing Orders in a Nearly Antiferromagnetic Metal
• Quantum critical response at the onset of spin density wave order in two-dimensional metals
• Quasi-Local Strange Metal
• Pair-Density-Wave Superconducting Order in Two-Leg Ladders
• Exact critical exponents for the antiferromagnetic quantum critical metal in two dimensions
• Optical conductivity of one-dimensional Mott insulators
• Optical Conductivity of the t-J model within Cluster Dynamical Mean Field Theory
• Theory of the Optical Conductivity in the Cuprate Superconductors
• Excitation spectrum of doped two-leg ladders: A field theory analysis
• Umklapp scattering as the origin of $T$-linear resistivity in the normal state of high-$T_c$ cuprate superconductors
• Superconductivity in a spin liquid - a one dimensional example
• Emergence of a control parameter for the antiferromagnetic quantum critical metal
• Renormalized SO(5) symmetry in ladders with next-nearest-neighbor hopping
• Optical conductivity of a two-dimensional metal at the onset of spin-density-wave order
• The ladder physics in the Spin Fermion model
• Effect of Hund coupling in the one-dimensional SU(4) Hubbard model
• Universality in antiferromagnetic strange metals
• Dynamical Spin Response of Doped Two-Leg Hubbard-like Ladders
• Optical Conductivity of a t--J Ladder
• Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials
• Finite wave vector pairing in doped two-leg ladders
• SO(5)-Symmetric Description of the Low Energy Sector of a Ladder System
• Role of Umklapp Processes in Conductivity of Doped Two-Leg Ladders

Cited by in corpus (3)

• Anomalies in the pseudogap phase of the cuprates: Competing ground states and the role of umklapp scattering
• Strange metal from incoherent bosons
• Interaction-enhanced nesting in Spin-Fermion and Fermi-Hubbard models