Quantum criticality in two dimensions and Marginal Fermi Liquid

Abstract

Kinetic properties of a two dimensional model of fermions interacting with antiferromagnetic spin excitations near the quantum critical point (QCP) are considered. The temperature or doping are assumed to be sufficiently high, such that the pseudogap does not appear. In contrast to standard spin-fermion models, it is assumed that there are intrinsic inhomogeneities in the system suppressing space correlations of the antiferromagnetic excitations. It is argued that the inhomogeneities in the spin excitations in the "strange metal" phase can be a consequence of existence of $\pi$-shifted domain walls in the doped antiferromagnetic phase. Averaging over the inhomogeneities and calculating physical quantities like resistivity and some others one can explain unusual properties of cuprates unified under the name "Marginal Fermi Liquid" (MFL). The dependence of the slope of the linear temperature dependence of the resistivity on doping is compared with experimental data.

arXiv comment8 pages, 2 figures, Details of calculations and explanations are added

References in corpus (27)

• How to detect fluctuating order in the high-temperature superconductors
• Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Magnetic-field-induced charge-stripe order in the high temperature superconductor YBa2Cu3Oy
• Charge order driven by Fermi-arc instability in Bi2201
• Electronic Phase Diagram of High-T_c Cuprate Superconductors from a Mapping of the In-Plane Resistivity Curvature
• Quantum Criticality
• Neutron Scattering from Magnetic Excitations in Bi_2 Sr_2 Ca_2 O_8+delta
• Resistivity as a function of temperature for models with hot spots on the Fermi surface.
• Evolution of the resonance and incommensurate spin fluctuations in superconducting YBa${}_2$Cu${}_3$O${}_{6+x}$
• Distinct Charge Orders in the Planes and Chains of Ortho-III-Ordered YBa${}_2$Cu${}_3$O${}_{6+\delta }$ Superconductors Identified by Resonant Elastic X-ray Scattering
• Pseudogap state from quantum criticality
• X-ray diffraction observation of charge density wave order at zero magnetic field in ortho-II YBa${}_2$Cu${}_3$O${}_{6.54}$
• Thermodynamic phase diagram of static charge order in underdoped YBCO
• Charge-density-wave order with momentum $(2Q,0)$ and $(0,2Q)$ within the spin-fermion model: continuous and discrete symmetry breaking, preemptive composite order, and relation to pseudogap in hole-doped cuprates
• Bond order in two-dimensional metals with antiferromagnetic exchange interactions
• Quasiparticles in the superconducting state of Bi2Sr2CaCu2O8
• Towards resolution of the Fermi surface in underdoped high-Tc superconductors
• Temperature Dependent Scattering Rates at the Fermi Surface of Optimally Doped Bi 2212
• Spin-fermion model near the quantum critical point: one-loop renormalization group results
• What angle-resolved photemission experiments tell about the microscopic theory for high-temperature superconductors
• Angular fluctuations of a multi-component order describe the pseudogap regime of the cuprate superconductors
• Hidden magnetic excitation in the pseudogap phase of a model cuprate superconductor
• Theory of the Quantum Critical Fluctuations in Cuprates
• Disorder, Metal-Insulator crossover and Phase diagram in high-Tc cuprates
• Effect of magnetic field on competition between superconductivity and charge order below the pseudogap state
• Universality of the single-particle spectra of cuprate superconductors

Cited by in corpus (13)

• Superconductivity near a quantum-critical point: The special role of the first Matsubara frequency
• Interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal. I: The $\gamma$-model and its phase diagram at $T=0$. The case $0<\gamma <1$
• Enhancement of superconductivity at the onset of charge-density-wave order in a metal
• Pairing in quantum-critical systems: $T_c$, $\Delta$, and their ratio
• Free energy and specific heat near a quantum critical point of a metal
• Anomalous thermodynamic properties of quantum critical superconductors
• Superconductivity out of a non-Fermi liquid. Free energy analysis
• Superconducting and charge-density-wave orders in the spin-fermion model: a comparative analysis
• Memory matrix theory of the dc resistivity of a disordered antiferromagnetic metal with an effective composite operator
• Interplay between uni-directional and bi-directional charge-density-wave orders in underdoped cuprates
• Fermi Liquid near a q=0 Charge Quantum Critical Point
• Fluctuating charge order in the cuprates: spatial anisotropy and feedback from superconductivity
• Shot noise in a phenomenological model of a marginal Fermi liquid