Meta-nematic transitions in a bilayer system: Application to the bilayer ruthenate

Abstract

It was suggested that the two consecutive metamagnetic transitions and the large residual resistivity discovered in Sr${}_3$Ru${}_2$O${}_7$ can be understood via the nematic order and its domains in a single layer system. However, a recently reported anisotropy between two longitudinal resistivities induced by tilting the magnetic field away from the c-axis cannot be explained within the single layer nematic picture. To fill the gap in our understanding within the nematic order scenario, we investigate the effects of bilayer coupling and in-plane magnetic field on the electronic nematic phases in a bilayer system. We propose that the in-plane magnetic field in the bilayer system modifies the energetics of the domain formation, since it breaks the degeneracy of two different nematic orientations. Thus the system reveals a pure nematic phase with a resistivity anisotropy in the presence of an in-plane magnetic field. In addition to the nematic phase, the bilayer coupling opens a novel route to a hidden nematic phase that preserves the x-y symmetry of the Fermi surfaces.

8 pages, 6 figures

References in corpus (30)

• How to detect fluctuating order in the high-temperature superconductors
• Electronic Liquid Crystal Phases of a Doped Mott Insulator
• Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels
• d-wave superconductivity and Pomeranchuk instability in the two-dimensional Hubbard model
• Quantum Theory of a Nematic Fermi Fluid
• Formation of a Nematic Fluid at High Fields in Sr3Ru2O7
• Strongly Anisotropic Transport in Higher Two-Dimensional Landau Levels
• Metamagnetism and critical fluctuations in high quality single crystals of the bilayer ruthenate Sr3Ru2O7
• Fermi liquid instabilities in the spin channel
• Soft Fermi Surfaces and Breakdown of Fermi Liquid Behavior
• Possible Quasi-One-Dimensional Fermi Surface in La_{2-x}Sr_{x}CuO_4
• Fermi surface fluctuations and single electron excitations near Pomeranchuk instability in two dimensions
• Mean-field theory for symmetry-breaking Fermi surface deformations on a square lattice
• Non-perturbative behavior of the quantum phase transition to a nematic Fermi fluid
• Formation of Electronic Nematic Phase in Interacting Systems
• Itinerant metamagnetism induced by electronic nematic order
• Signatures of Electronic Nematic Phase at Isotropic-Nematic Phase Transition
• Pomeranchuk and Topological Fermi Surface Instabilities from Central Interactions
• Metamagnetic quantum criticality in Sr3Ru2O7 studied by thermal expansion
• `Local' Quantum Criticality at the Nematic Quantum Phase Transition
• Spontaneous breaking of the Fermi surface symmetry in the t-J model: a numerical study
• Local Tunneling Spectroscopy across a Metamagnetic Critical Point in the Bi-layer Ruthenate Sr3Ru2O7
• Heat Bath Approach to Landau Damping and Pomeranchuk Quantum Critical Points
• Anisotropic spin and charge excitations in superconductors: signature of electronic nematic order
• Metastable Resistance Anisotropy Orientation of Two-Dimensional Electrons in High Landau Levels
• Nematic domains and resistivity in an itinerant metamagnet coupled to a lattice
• Investigation into the Itinerant metamagnetism of Sr3Ru2O7 for the Field Parallel to the Ruthenium Oxygen Planes
• A Direct Probe of Electronic Nematic Order; Symmetry Information in Scanning Tunneling Microscope Images
• Theory of non-Fermi liquid near a diagonal electronic nematic state on a square lattice
• Interplay between parallel and diagonal electronic nematic phases in interacting systems

Cited by in corpus (28)

• Nematic Fermi Fluids in Condensed Matter Physics
• Microscopic theory of the nematic phase in Sr${}_3$Ru${}_2$O${}_7$
• Time-Reversal Symmetry Breaking and Spontaneous Anomalous Hall Effect in Fermi Fluids
• Unconventional metamagnetic electron states in orbital band systems
• Microscopic Route to Nematicity in Sr3Ru2O7
• Quantum criticality and the formation of a putative electronic liquid crystal in Sr3Ru2O7
• Electric Octupole Order in Bilayer Ruthenate Sr${}_3$Ru${}_2$O${}_7$
• Spectroscopic Imaging Scanning Tunneling Microscopy as a Probe of Orbital Structures and Ordering
• Multi-orbital physics in Fermi liquids prone to magnetic order
• Quasiparticle Interference in the Unconventional Metamagnetic Compound Sr${}_3$Ru${}_2$O${}_7$
• Fermi Liquid instabilities in two-dimensional lattice models
• Study of the electronic nematic phase of Sr${}_3$Ru${}_2$O${}_7$ with precise control of the applied magnetic field vector
• Raman scattering near a d-wave Pomeranchuk instability
• Transport signatures of spatially modulated electronic nematic phases
• Probing the d_{x2-y2}-wave Pomeranchuk instability by ultrasound
• Valley polarization, magnetization, and superconductivity in bilayer graphene near the van Hove singularity
• Singular non-ordering susceptibility at a Pomeranchuk instability
• Electronic nematic phase transition in the presence of anisotropy
• Unveiling a nematic quantum critical point in multi-orbital systems
• Mean-field theory on a coupled system of ferromagnetism and electronic nematic order
• Microscopic Theory of the Thermodynamic Properties of Sr${}_3$Ru${}_2$O${}_7$
• Pomeranchuk instabilities in multicomponent lattice systems at finite Temperature
• Pressure study of nematicity and quantum criticality in Sr${}_3$Ru${}_2$O${}_7$ for an in-plane field
• Fermi surface instabilities at finite Temperature
• Reentrant behaviour in Landau Fermi liquids with spin-split Pomeranchuk instabilities
• Electronic Liquid Crystal Phases in Strongly Correlated Systems
• Unrestricted Hartree-Fock Analysis of Sr${}_{3-x}$Ca${}_x$Ru${}_2$O${}_7$
• Generalized susceptibilities and Landau parameters for anisotropic Fermi liquids