Quantum and Topological Criticalities of Lifshitz Transition in Two-Dimensional Correlated Electron Systems(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
スポンサーリンク
概要
- 論文の詳細を見る
We study electron correlation effects on quantum criticalities of Lifshitz transitions at zero temperature, using the mean-field theory based on a preexisting symmetry-broken order, in two-dimensional systems. In the presence of interactions, Lifshitz transitions may become discontinuous in contrast to the continuous transition in the original proposal by Lifshitz for noninteracting systems. We focus on the quantum criticality at the endpoint of discontinuous Lifshitz transitions, which we call the marginal quantum critical point. It shows remarkable criticalities arising from its nature as a topological transition. At the point, for the canonical ensemble, the susceptibility of the order parameter χ is found to diverge as ln 1/|δΔ| when the "neck" of the Fermi surface collapses at the van Hove singularity. More remarkably, it diverges as |δΔ|^<-1> when the electron/hole pocket of the Fermi surface vanishes. Here δΔ is the amplitude of the mean field measured from the Lifshitz critical point. On the other hand, for the grand canonical ensemble, the discontinuous transitions appear as the electronic phase separation and the endpoint of the phase separation is the marginal quantum critical point. Especially, when a pocket of the Fermi surface vanishes, the uniform charge compressibility κ diverges as |δn|^<-1>, instead of χ, where δn is the electron density measured from the critical point. Accordingly, Lifshitz transition induces large fluctuations represented by diverging χ and/or κ. Such fluctuations must be involved in physics of competing orders and influence diversity of strong correlation effects.
- 社団法人日本物理学会の論文
- 2006-09-15
著者
-
Imada Masatoshi
Department Of Applied Physics University Of Tokyo
-
MISAWA Takahiro
Department of Applied Physics, University of Tokyo
-
YAMAJI Youhei
Department of Applied Physics, University of Tokyo
-
Yamaji Youhei
Department Of Applied Physics University Of Tokyo
-
Misawa Takahiro
Department Of Applied Physics University Of Tokyo
関連論文
- Ab initio Derivation of Low-Energy Model for Iron-Based Superconductors LaFeAsO and LaFePO(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- Pairing of Fermious Coupled with Spin-1/2 Heisenberg System : Exact Diagonalization Study for Mechanism of High-T_c Superconductivity
- Drude Weight of the Two-Dimensional Hubbard Model : Reexamination of Finite-Size Effect in Exact Diagonalization Study(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- On the Kinetic Equations for Binary Mixtures
- Antiferromagnetic Ising Model on Inverse Perovskite Lattice(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- Variational Monte Carlo Method Combined with Quantum-Number Projection and Multi-Variable Optimization(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- On the Mechanism of High-T_c Superconductivity
- Variational Monte Carlo Study of Electron Differentiation around Mott Transition(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- Ground State Properties of the Coupled Spin-Fermion Model in the Weak Kondo Coupling Region
- YbRh_2Si_2 : Quantum Tricritical Behavior in Itinerant Electron Systems(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- Quantum Metamagnetic Transitions Induced by Changes in Fermi-Surface Topology : Applications to a Weak Itinerant-Electron Ferromagnet ZrZn_2(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- Quantum and Topological Criticalities of Lifshitz Transition in Two-Dimensional Correlated Electron Systems(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- Quantum Critical "Opalescence" around Metal-Insulator Transitions(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- Numerical Studies on the Hubbard Model and the t-J Model in One- and Two-Dimensions
- On Proximity of 4/7 Solid Phase of ^3He Adsorbed on Graphite : Origin of Specific-Heat Anomalies in Hole-Doped Density-Ordered Solid(Condensed matter: structure and mechanical and thermal properties)
- Does Simple Two-Dimensional Hubbard Model Account for High-T_c Superconductivity in Copper Oxides?(Condensed matter : electronic structure and electrical, magnetic, and optical properties)
- Stability of Unconventional Superconductivity on Surfaces of Topological Insulators
- 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
- Magnetic Properties of Ab initio Model of Iron-Based Superconductors LaFeAsO
- What is Minimal Model of ^3He Adsorbed on Graphite? : Importance of Density Fluctuations in 4/7 Registered Solid(Condensed matter : structure and mechanical and thermal properties)
- A New Hybrid Algorithm for Fermion Simulations Applied to the Hubbard Model
- Mass Dependence of the Sputtering Yield-Boundary Effect
- Linear Response of One Dimensional Nonlinear System. II
- Effect of Randomness on Charge Density Wave and Superconductivity in Strong Coupling Electron Systems
- Comparison of Ab initio Low-Energy Models for LaFePO, LaFeAsO, BaFe2As2, LiFeAs, FeSe, and FeTe: Electron Correlation and Covalency
- Ab initio Low-Dimensional Physics Opened Up by Dimensional Downfolding: Application to LaFeAsO
- Low Temperature Properties of the Random Triangular Antiferromagnet
- Theory of Central Peak in Quasi-One-Dimensional Ferroelectric Systems : Application to C_sD_2PO_4
- A Fermion Simulation Algorithm by Molecular Dynamics Techique Combined with Monte Carlo Method
- Magnetization Step in Spatially Distorted Heisenberg Kagomé Antiferromagnets
- Ab initio Low-Energy Model of Transition-Metal-Oxide Heterostructure LaAlO3/SrTiO3
- Gaussian-Basis Monte Carlo Method for Numerical Study on Ground States of Itinerant and Strongly Correlated Electron Systems(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- Impurity Effects on Superconductivity on Surfaces of Topological Insulators
- Coincidental Occurrence of a Presacral Tailgut and an Epidermoid Cyst in the Retrorectal Space : A Rare Case Report
- Systematic Control of Doped Carrier Density without Disorder at Interface of Oxide Heterostructures
- Ab initio Derivation of Low-Energy Model for $\kappa$-ET Type Organic Conductors
- Molecular Dynamics Study of the φ^4 Chain
- Single-Particle Excitations under Coexisting Electron Correlation and Disorder: A Numerical Study of the Anderson–Hubbard Model
- Topological Insulators from Spontaneous Symmetry Breaking Induced by Electron Correlation on Pyrochlore Lattices