Charge and spin density wave ordering transitions in strongly correlated metals

Abstract

We study the quantum transition from a strongly correlated metal, with heavy fermionic quasiparticles, to a metal with commensurate charge or spin density wave order. To this end, we introduce and numerically analyze a large dimensionality model of Ising spins in a transverse field, coupled to two species of fermions; the analysis borrows heavily from recent progress in the solution of the Hubbard model in large dimensions. At low energies, the Ising order parameter fluctuations are characterized by the critical exponent $z\nu =1$, while above an energy scale, $\Gamma$, there is a crossover to $z\nu =1/2$ criticality. We show that $\Gamma$ is of the order of the width of the heavy quasiparticle band, and can be made arbitrarily small for a correlated metal close to a Mott-Hubbard insulator. Therefore, such a correlated metal has a significant intermediate energy range of $z\nu =1/2$ behavior, a single particle spectrum with a narrow quasiparticle band, and well-formed analogs of the lower and upper Hubbard bands; we suggest that these features are intimately related in general.

14 pages, REVTEX 3.0, 2 postscript figures

References in corpus (14)

• Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State
• The Hubbard Model at Infinite Dimensions: Thermodynamic and Transport Properties
• Universal quantum critical dynamics of two-dimensional antiferromagnets
• Large N expansion for frustrated and doped quantum antiferromagnets
• Toward a Unified Magnetic Phase Diagram of the Cuprate Superconductors
• Universal Magnetic Properties of $L{a}_{2-\delta }S{r}_{\delta }Cu{O}_4$ at Intermediate Temperatures
• Crossover and scaling in a nearly antiferromagnetic Fermi liquid in two dimensions
• Correlation Induced Insulator to Metal Transitions
• Effect of a magnetic field on Mott-Hubbard systems
• Transport Properties of the Infinite Dimensional Hubbard Model
• Quantum Critical Scaling in a Moderately Doped Antiferromagnet
• Quantum Phases of the Shraiman-Siggia Model
• Quantum Disordered Regime and Spin Gap in the Cuprate Superconductors
• Scaling Regimes, Crossovers, and Lattice Corrections in 2D Heisenberg Antiferromagnets

Cited by in corpus (7)

• Holographic quantum matter
• Quantum Fluctuations of a Nearly Critical Heisenberg Spin Glass
• Transport near the Ising-nematic quantum critical point of metals in two dimensions
• DC resistivity at the onset of spin density wave order in two-dimensional metals
• Spectral function of a localized fermion coupled to the Wilson-Fisher conformal field theory
• Conductivity of weakly disordered strange metals: from conformal to hyperscaling-violating regimes
• A Theoretical Investigation of Charge Density Wave Instability in CuS${}_2$