Power-law Conductivity inside the Mott gap: application to $\kappa -(BEDT-TTF{)}_{2}C{u}_2(CN{)}_3$

Abstract

The charge dynamics of spin-liquid states described by U(1) gauge theory coupling to fermionic spinons is discussed in this paper. We find that the gapless spinons give rise to a power law optical conductivity inside the charge gap. The theory is applied to explain the unusual optical conductivity observed recently in the organic compound $\kappa -(BEDT-TTF{)}_{2}C{u}_2(CN{)}_3$. We also propose an optical experiment to search for the in-gap excitations in the Kagome spin liquid insulator.

10 pages, 2 figures

References in corpus (6)

• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Quantum magnetism in the paratacamite family: towards an ideal kagome lattice
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Mott Transition from a Spin Liquid to a Fermi Liquid in the Spin-Frustrated Organic Conductor kappa-(ET)2Cu2(CN)3
• Amperean Pairing Instability in the U(1) Spin Liquid State with Fermi Surface and Application to $\kappa -(BEDT-TTF{)}_{2}C{u}_2(CN{)}_3$

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• $\mu$SR evidence for the U(1) quantum spin liquid ground state in the triangular antiferromagnet YbMgGaO${}_4$
• Anisotropic charge dynamics in the quantum spin-liquid candidate $\kappa$-(BEDT-TTF)${}_2$Cu${}_2$(CN)${}_3$
• Molecular Quantum Materials: Electronic Phases and Charge Dynamics in Two-Dimensional Organic Solids
• Anomalous 3D bulk AC conduction within the Kondo gap of SmB${}_6$ single crystals
• Power-law dependence of the optical conductivity observed in the quantum spin-liquid compound κ-(BEDT-TTF)2Cu2(CN)3
• Spin-liquid insulators can be Landau's Fermi liquids
• Quantum spin liquids and the metal-insulator transition in doped semiconductors
• The universal shear conductivity of Fermi liquids and spinon Fermi surface states and its detection via spin qubit noise magnetometry
• Magnetic terahertz resonances above the Néel temperature in the frustrated kagome antiferromagnet averievite
• Charge-Neutral Electronic Excitations in Quantum Insulators
• The magneto-optical Faraday effect in spin liquid candidates
• Low-energy optical absorption in correlated insulators: Projected sum rules and the role of quantum geometry
• Optical conductivity and surface plasmon modes of U(1) spin liquid states with large spinon Fermi surfaces
• The Detection of Unconventional Quantum Oscillations in Insulating 2D Materials
• Floating topological phases
• Photoinduced Frustration Modulation in $\kappa$-type Quantum Spin Liquid Candidates