Thinking locally: reflections on Dynamical Mean-Field Theory from a high-temperature/high energy perspective
arXiv:1112.5212 · doi:10.1002/andp.201100042
Abstract
When spatial correlations are short-range, the physics of strongly correlated systems is controlled by local quantum fluctuations. In those regimes, Dynamical Mean-Field Theory can be viewed as a `compass' which provides guidance on the relevant degrees of freedom and their effective dynamics over intermediate energy scales. These intermediate energy scales and associated crossovers play a crucial role in the physics of strongly correlated materials.
arXiv commentContribution to Dieter Vollhardt's Festschrift Volume
References in corpus (21)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
- Quantum Cluster Theories
- A Mott insulator of fermionic atoms in an optical lattice
- Mott transition, antiferromagnetism, and unconventional superconductivity in layered organic superconductors
- Universality and Critical Behavior at the Mott transition
- Mott-Hubbard Metal-Insulator Transition in Paramagnetic V_2O_3: a LDA+DMFT(QMC) Study
- Interaction-induced adiabatic cooling and antiferromagnetism of cold fermions in optical lattices
- Momentum space anisotropy and pseudogaps: a comparative cluster dynamical mean field analysis of the doping-driven metal-insulator transition in the two dimensional Hubbard model
- Pseudogap and high-temperature superconductivity from weak to strong coupling. Towards quantitative theory
- Quantitative Determination of Temperature in the Approach to Magnetic Order of Ultracold Fermions in an Optical Lattice
- Prominent quasi-particle peak in the photoemission spectrum of the metallic phase of V_2O_3
- Enhanced Crystal Field Splitting and Orbital Selective Coherence by Strong Correlations in V_2O_3
- Diagrammatic Monte Carlo for Correlated Fermions
- Electronic Structure of Paramagnetic V_2O_3: Strongly Correlated Metallic and Mott Insulating Phase
- Thermodynamics of the 3D Hubbard model on approach to the Neel transition
- Strongly Correlated Electron Materials: Dynamical Mean-Field Theory and Electronic Structure
- Trapping and cooling fermionic atoms into the Mott and Néel states
- Thermodynamics of the three-dimensional Hubbard model: Implications for cooling cold atomic gases in optical lattices
- Critical Entropy of Quantum Heisenberg Magnets on Simple-Cubic Lattices
Cited by in corpus (9)
- Mott insulating states with competing orders in the triangular lattice Hubbard model
- Finite temperature crossovers and the quantum Widom line near the Mott transition
- Bad-metal behavior reveals Mott quantum criticality in doped Hubbard models
- Thermoelectricity in correlated narrow-gap semiconductors
- Charge transport in the Hubbard model at high temperatures: triangular versus square lattice
- Local origin of the pseudogap in the attractive Hubbard model
- Padé approximants for improved finite-temperature spectral functions in the numerical renormalization group
- Emergence of a common energy scale close to the orbital-selective Mott transition
- Repulsive vs. attractive Hubbard model: transport properties and spin-lattice relaxation rate