PIRSA:18110081

Chiral spin liquid phase of the triangular lattice Hubbard model: evidence from iDMRG in a mixed real- and momentum-space basis

APA

Szasz, A. (2018). Chiral spin liquid phase of the triangular lattice Hubbard model: evidence from iDMRG in a mixed real- and momentum-space basis. Perimeter Institute. https://pirsa.org/18110081

MLA

Szasz, Aaron. Chiral spin liquid phase of the triangular lattice Hubbard model: evidence from iDMRG in a mixed real- and momentum-space basis. Perimeter Institute, Nov. 16, 2018, https://pirsa.org/18110081

BibTex

          @misc{ pirsa_18110081,
            doi = {10.48660/18110081},
            url = {https://pirsa.org/18110081},
            author = {Szasz, Aaron},
            keywords = {Condensed Matter},
            language = {en},
            title = {Chiral spin liquid phase of the triangular lattice Hubbard model: evidence from iDMRG in a mixed real- and momentum-space basis},
            publisher = {Perimeter Institute},
            year = {2018},
            month = {nov},
            note = {PIRSA:18110081 see, \url{https://pirsa.org}}
          }
          

Aaron Szasz Perimeter Institute for Theoretical Physics

Collection
Talk Type Scientific Series

Abstract

Experiments on organic crystals whose structure is well-described by the two-dimensional triangular lattice have found a lack of magnetic ordering down to the lowest accessible temperatures, indicative of a quantum spin liquid phase; however, the precise nature of this phase remains an open question.  In this talk, I present strong evidence that the triangular lattice Hubbard model at half filling, a physically motivated model of these organic crystals, realizes a chiral spin liquid phase.  In particular, I show that the model has a nonmagnetic insulating phase between a metallic phase for weak interactions and a magnetically ordered phase for strong interactions, and that the intermediate phase exhibits the expected properties of a chiral spin liquid: spontaneous breaking of time-reversal symmetry, topological ground state degeneracy, a quantized spin Hall effect, and characteristic level counting in the entanglement spectrum.  These results were obtained using the infinite-system density matrix renormalization group (iDMRG) method in a mixed real- and momentum-space basis; in the talk, I will also discuss the benefits of this mixed-space approach to DMRG in general, including its applicability to systems such as twisted bilayer graphene for which a large unit cell makes real-space DMRG impractical.