Abstract
Using a perturbative renormalization group approach, we show that the extended (J_1-J_2-J_dJ1−J2−Jd) Heisenberg model on the kagome lattice with a staggered chiral interaction (J_\chiJχ) can exhibit a gapless chiral quantum spin liquid phase. Within a coupled-chain construction, this phase can be understood as a chiral sliding Luttinger liquid with algebraic decay of spin correlations along the chain directions. We calculate the low-energy properties of this gapless chiral spin liquid using the effective field theory and show that they are compatible with the predictions from parton mean-field theories with symmetry-protected line Fermi surfaces. These results may be relevant to the state observed in the kapellasite material.
Highlights
We find that the properties predicted within the coupled-chains construction are consistent with fermionic partons that exhibit line Fermi surfaces protected by reflection symmetry
We have used coupled spin chains to construct a gapless chiral spin liquid whose properties turn out to be reminiscent of a spinon Fermi surface [84,85,86,87]
A natural question arises : Is it possible to find a parton mean-field theory that recovers the physical properties of our state discussed in Section 6 ? Such a connection would be useful, for instance, in order to construct an approximate ground-state wave function for the gapless chiral spin liquid, and to evaluate its energy using variational Monte Carlo methods [5, 88]
Summary
Exotic quantum phases in frustrated magnetism have been surprising us for decades [1, 2]. Chiral spin liquids have recently been a active field of research, both theoretically and in materials science [14,15,16,17,18,19,20,21,22,23] This is due to our deeper understanding of new concepts such as symmetry fractionalization and the classification of gapped topological phases [24,25,26,27,28]. The resulting two-dimensional state is an exotic chiral spin liquid with persistent bulk spin currents, gapless excitation continua, algebraic decay of correlation functions, and logarithmic violation of the entanglement area law Since these properties are usually associated with fermionic spinons, we pursue the goal of identifying the parton construction that describes this phase.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
