Emergent gauge fields and their nonperturbative effects in correlated electrons
arXiv:1412.8254 · doi:10.1142/S0217984915400540
Abstract
The history of modern condensed matter physics may be regarded as the competition and reconciliation between Stoner's and Anderson's physical pictures, where the former is based on momentum-space descriptions focusing on long wave-length fluctuations while the latter is based on real-space physics emphasizing emergent localized excitations. In particular, these two view points compete with each other in various nonperturbative phenomena, which range from the problem of high T superconductivity, quantum spin liquids in organic materials and frustrated spin systems, heavy-fermion quantum criticality, metal-insulator transitions in correlated electron systems such as doped silicons and two-dimensional electron systems, the fractional quantum Hall effect, to the recently discussed Fe-based superconductors. An approach to reconcile these competing frameworks is to introduce topologically nontrivial excitations into the Stoner's description, which appear to be localized in either space or time and sometimes both, where scattering between itinerant electrons and topological excitations such as skyrmions, vortices, various forms of instantons, emergent magnetic monopoles, and etc. may catch nonperturbative local physics beyond the Stoner's paradigm. In this review article we discuss nonperturbative effects of topological excitations on dynamics of correlated electrons. ......
arXiv commentAn invited review article for a special issue on "Skyrmions in Strongly Correlated Systems" in the International Journal of Modern Physics B
References in corpus (35)
- Topological Insulators
- Quantum Spin Hall Effect in Graphene
- Angle-resolved photoemission spectroscopy of the cuprate superconductors
- Classification of topological insulators and superconductors in three spatial dimensions
- Fermi-liquid instabilities at magnetic quantum phase transitions
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Renormalization Group Approach to Interacting Fermions
- Chiral effective model with the Polyakov loop
- Holographic Entanglement Entropy: An Overview
- Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
- Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
- Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
- Mott Transition from a Spin Liquid to a Fermi Liquid in the Spin-Frustrated Organic Conductor kappa-(ET)2Cu2(CN)3
- Algebraic spin liquid as the mother of many competing orders
- Slave-rotor mean field theories of strongly correlated systems and the Mott transition in finite dimensions
- Integer quantum Hall effect for bosons: A physical realization
- Classifying gauge anomalies through SPT orders and classifying gravitational anomalies through topological orders
- Gauge-invariant response functions of fermions coupled to a gauge field
- Theta-terms in nonlinear sigma-models
- Perturbative non-Fermi liquids from dimensional regularization
- Deconfined quantum criticality and Neel order via dimer disorder
- Many-body spin Berry phases emerging from the -flux state: antiferromagnetic/valence-bond-solid competition
- Wave Function and Strange Correlator of Short Range Entangled states
- Wave Functions of Bosonic Symmetry Protected Topological Phases
- Non-Abelian Holonomy of BCS and SDW Quasi-particles
- Symmetry protected Z2-quantization and quaternionic Berry connection with Kramers degeneracy
- Quantal phases, disorder effects and superconductivity in spin-Peierls systems
- Geometric phases and the magnetization process in quantum antiferromagnets
- Quantum phase transitions of correlated electrons in two dimensions
- A square lattice algebraic spin liquid with SO(5) symmetry
- Spin liquids in graphene
- Luttinger-Ward functional approach in the Eliashberg framework : A systematic derivation of scaling for thermodynamics near a quantum critical point
- Effective field theory with a -vacua structure for 2d spin systems
- Fermionization for charge degrees of freedom and bosonization of spin degrees of freedom in the SU(2) slave-boson theory
- A phenomenological description on an incoherent Fermi liquid near optimal doping in high T_{c} cuprates