Non-Fermi Liquid behavior at the Orbital Ordering Quantum Critical Point in the Two-Orbital Model

Abstract

The critical behavior of a two-orbital model with degenerate $d_{xz}$ and $d_{yz}$ orbitals is investigated by multidimensional bosonization. We find that the corresponding bosonic theory has an overdamped collective mode with dynamical exponent $z=3$, which appears to be a general feature of a two-orbital model and becomes the dominant fluctuation in the vicinity of the orbital-ordering quantum critical point. Since the very existence of this $z=3$ overdamped collective mode induces non-Fermi liquid behavior near the quantum critical point, we conclude that a two-orbital model generally has a sizable area in the phase diagram showing non-Fermi liquid behavior. Furthermore, we show that the bosonic theory resembles the continuous model near the d-wave Pomeranchuk instability, suggesting that orbital order in a two-orbital model is identical to nematic order in a continuous model. Our results can be applied to systems with degenerate $d_{xz}$ and $d_{yz}$ orbitals such as iron-based superconductors and bilayer strontium ruthenates Sr${}_3$Ru${}_2$O${}_7$.

5 pages, 2 figures

References in corpus (25)

• Double Exchange Alone Does Not Explain the Resistivity of $L{a}_{1-x}S{r}_{x}Mn{O}_3$
• Near-degeneracy of several pairing channels in multiorbital models for the Fe-pnictides
• A minimal two-band model for the superconducting Fe-pnictides
• Quantum Theory of a Nematic Fermi Fluid
• Ferro-Orbital Order and Strong Magnetic Anisotropy in the Parent Compounds of Iron-Pnictide Superconductors
• Spin-orbital frustrations and anomalous metallic state in iron-pnictide superconductors
• Orbital-Ordering Induces Structural Phase Transition and the Resistivity Anomaly in Iron Pnictides
• Soft Fermi Surfaces and Breakdown of Fermi Liquid Behavior
• Orbital Order and Spontaneous Orthorhombicity in Iron Pnictides
• Self-Consistent Vertex Correction Analysis for Iron-Based Superconductors: Mechanism of Coulomb-Interaction-Driven Orbital Fluctuations
• Orbital Ordering and Unfrustrated $(\pi ,0)$ Magnetism from Degenerate Double Exchange in the Iron Pnictides
• Bosonization and Fermion Liquids in Dimensions Greater Than One
• Bosonization of the Low Energy Excitations of Fermi Liquids
• Bosonization of Fermi liquids
• Fermi surface fluctuations and single electron excitations near Pomeranchuk instability in two dimensions
• Non-perturbative behavior of the quantum phase transition to a nematic Fermi fluid
• Microscopic theory of the nematic phase in Sr${}_3$Ru${}_2$O${}_7$
• Multidimensional Bosonization
• Sr3Ru2O7: Thermodynamics of Phase Formation in a Quantum Critical Metal
• Unconventional metamagnetic electron states in orbital band systems
• Detection of Orbital Fluctuations Above the Structural Transition Temperature in the Iron-Pnictides and Chalcogenides
• Non-Fermi Liquid due to Orbital Fluctuations in Iron Pnictide Superconductors
• Quantum criticality and the formation of a putative electronic liquid crystal in Sr3Ru2O7
• Spin-Fluctuation-Driven Orbital Nematic Order in Ru-Oxides: Self-Consistent Vertex Correction Analysis for Two-Orbital Model
• Quantum instabilities in the system of identical bosons

Cited by in corpus (4)

• Critical Quadrupole Fluctuations and Collective Modes in Iron Pnictide Superconductors
• Orbital Nematic Instability in Two-Orbital Hubbard Model: Renormalization-Group + Constrained RPA Analysis
• Theory of Point Contact Spectroscopy in Correlated Materials
• Elementary Excitations due to Orbital Degrees of Freedom in Iron Based Superconductors