Spontaneous Fermi surface symmetry breaking in bilayered systems

Abstract

We perform a comprehensive numerical study of d-wave Fermi surface deformations (dFSD) on a square lattice, the so-called d-wave Pomeranchuk instability, including bilayer coupling. Since the order parameter corresponding to the dFSD has Ising symmetry, there are two stacking patterns between the layeres, (+,+) and (+,-). This additional degree of freedom gives rise to a rich variety of phase diagrams. The phase diagrams are classified by means of the energy scale Lambda_{z}, which is defined as the bilayer splitting at the saddle points of the in-plane band dispersion. As long as Lambda_{z} ne 0, a major stacking pattern is usually (+,-), and (+,+) stacking is stabilized as a dominant pattern only when the temperature scale of the dFSD instability becomes much smaller than Lambda_z. For Lambda_{z}=0, the phase diagram depends on the precise form of the bilayer dispersion. We also analyze the effect of a magnetic field on the bilayer model in connection with a possible dFSD instability in the bilyared ruthenate Sr_3Ru_2O_7.

18 pages, 7 figures

References in corpus (23)

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• Instability toward Formation of Quasi-One-Dimensional Fermi Surface in Two-Dimensional t-J Model
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Cited by in corpus (19)

• Neutron scattering study of the magnetic phase diagram of underdoped YBa(2)Cu(3)O(6+x)
• Symmetry of spin excitation spectra in the tetragonal paramagnetic and superconducting phases of 122-ferropnictides
• Novel magnetic order in pseudogap state of high Tc copper oxides superconductors
• Fermi liquid near Pomeranchuk quantum criticality
• Orbital Nematic Instability in Two-Orbital Hubbard Model: Renormalization-Group + Constrained RPA Analysis
• Quantum criticality and the formation of a putative electronic liquid crystal in Sr3Ru2O7
• Electric Octupole Order in Bilayer Ruthenate Sr${}_3$Ru${}_2$O${}_7$
• A consistent statistical treatment of the renormalized mean-field t-J model
• Electric octupole order in bilayer Rashba system
• Lifshitz transitions and crystallization of fully-polarised dipolar Fermions in an anisotropic 2D lattice
• 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
• Electronic nematic phase transition in the presence of anisotropy
• Singular non-ordering susceptibility at a Pomeranchuk instability
• Magnetoelectric Response in Electric Octupole State: Possible Hidden Order in Cuprate Superconductors
• Mean-field theory on a coupled system of ferromagnetism and electronic nematic order
• Phonon renormalization and Pomeranchuk instability in the Holstein model
• Fermi surface instabilities at finite Temperature
• Generalized susceptibilities and Landau parameters for anisotropic Fermi liquids