Singular non-ordering susceptibility at a Pomeranchuk instability

Abstract

We study magnetic susceptibilities of two-dimensional itinerant electron systems exhibiting symmetry-breaking Fermi surface distortions, the so-called d-wave Pomeranchuk instability, in a magnetic field. In a pure forward scattering model, the longitudinal susceptibility chi^{zz} is found to exhibit a jump at a critical point. The magnitude of this jump diverges at a tricritical point. When scattering processes involving finite momentum transfers are allowed for, chi^{zz} is expected to diverge also at a critical point. The system displays multiple critical fluctuations. We argue that the features of chi^{zz} are general properties associated with singularities of a non-ordering susceptibility, leading to implications for a variety of materials including Sr_3Ru_2O_7.

5 pages, 4 figures

References in corpus (15)

• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Formation of a Nematic Fluid at High Fields in Sr3Ru2O7
• Instability toward Formation of Quasi-One-Dimensional Fermi Surface in Two-Dimensional t-J Model
• Possible Quasi-One-Dimensional Fermi Surface in La_{2-x}Sr_{x}CuO_4
• Spin Fluctuation Theory for Quantum Tricritical Point Arising in Proximity to First-Order Phase Transitions: Applications to Heavy-Fermion Systems, YbRh2Si2, CeRu2Si2, and beta-YbAlB4
• Van Hove singularity and spontaneous Fermi surface symmetry breaking in Sr3Ru2O7
• Meta-nematic transitions in a bilayer system: Application to the bilayer ruthenate
• YbRh2Si2: Quantum tricritical behavior in itinerant electron systems
• Effect of magnetic field on spontaneous Fermi surface symmetry breaking
• Effect of a staggered spin-orbit coupling on the occurrence of a nematic phase in Sr${}_3$Ru${}_2$O${}_7$
• Spontaneous Fermi surface symmetry breaking in bilayered systems
• Nematic domains and resistivity in an itinerant metamagnet coupled to a lattice
• Effect of disorder on a Pomeranchuk instability
• A Direct Probe of Electronic Nematic Order; Symmetry Information in Scanning Tunneling Microscope Images
• Probing the d_{x2-y2}-wave Pomeranchuk instability by ultrasound

Cited by in corpus (5)

• Sr3Ru2O7: Thermodynamics of Phase Formation in a Quantum Critical Metal
• Orbital Nematic Instability in Two-Orbital Hubbard Model: Renormalization-Group + Constrained RPA Analysis
• Raman scattering near a d-wave Pomeranchuk instability
• Fermi surface instabilities at finite Temperature
• Generalized susceptibilities and Landau parameters for anisotropic Fermi liquids