Two-band electronic metal and neighboring spin liquid (spin Bose-metal) on a zigzag strip with longer-ranged repulsion

Abstract

We consider an electronic model for realizing the Spin Bose-metal (SBM) phase on a 2-leg triangular strip --a spin liquid phase found by D. N. Sheng et al [Phys. Rev. B {\bf 79}, 205112 (2009)] in a spin-1/2 model with ring exchanges. The SBM can be viewed as a "C1S2" Mott insulator of electrons where the overall charge transporting mode is gapped out. We start from a two-band "C2S2" metal and consider extended repulsion motivated by recent ab initio derivation of electronic model for $\kappa$-ET spin liquid material [K. Nakamura et al, J. Phys. Soc. Jpn. {\bf 78}, 083710(2009)]. Using weak coupling renormalization group analysis, we find that the extended interactions allow much wider C2S2 metallic phase than in the Hubbard model with on-site repulsion only. An eight-fermion Umklapp term plays a crucial role in producing a Mott insulator but can not be treated in weak coupling. We use Bosonization to extend the analysis to intermediate coupling and study phases obtained out of the C2S2 metal upon increasing overall repulsion strength, finding that the SBM phase is a natural outcome for extended interactions.

12 pages, 9 figures

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• Synthetic gauge field and chiral physics on two-leg superconducting circuits
• Quantum phase transition in quantum wires controlled by an external gate
• Exotic quantum liquids in Bose-Hubbard models with spatially-modulated symmetries
• Interaction induced Fermi-surface renormalization in the $t_1-t_2$ Hubbard model close to the Mott-Hubbard transition
• Probing Critical Surfaces in Momentum Space Using Real-Space Entanglement Entropy: Bose versus Fermi
• Possible spin liquid states with parton Fermi surfaces in SU(3) ring-exchange model on the triangular lattice
• Metal to Wigner-Mott insulator transition in two-leg ladders
• Signatures of gapless fermionic spinons on a strip of the kagome Heisenberg antiferromagnet
• Effects of Zeeman field on a Spin Bose-Metal phase
• Insulating phases of electrons on a zigzag strip in the orbital magnetic field