%0 Journal Article
%A Schmoll, Philipp
%A Haller, Andreas
%A Rizzi, Matteo
%A Orús, Román
%T Quantum criticality on a chiral ladder: An SU(2) infinite density matrix renormalization group study
%J Physical review / B
%V 99
%N 20
%@ 2469-9950
%C Woodbury, NY
%I APS
%M FZJ-2019-04392
%P 205121
%D 2019
%X In this paper we study the ground-state properties of a ladder Hamiltonian with chiral SU(2)-invariant spin interactions, a possible first step toward the construction of truly two-dimensional nontrivial systems with chiral properties starting from quasi-one-dimensional ones. Our analysis uses a recent implementation by us of SU(2) symmetry in tensor network algorithms, specifically for infinite density matrix renormalization group. After a preliminary analysis with Kadanoff coarse graining and exact diagonalization for a small-size system, we discuss its bosonization and recap the continuum limit of the model to show that it corresponds to a conformal field theory, in agreement with our numerical findings. In particular, the scaling of the entanglement entropy as well as finite-entanglement scaling data show that the ground-state properties match those of the universality class of a c=1 conformal field theory (CFT) in (1+1) dimensions. We also study the algebraic decay of spin-spin and dimer-dimer correlation functions, as well as the algebraic convergence of the ground-state energy with the bond dimension, and the entanglement spectrum of half an infinite chain. Our results for the entanglement spectrum are remarkably similar to those of the spin-1/2 Heisenberg chain, which we take as a strong indication that both systems are described by the same CFT at low energies, i.e., an SU(2)_1 Wess-Zumino-Witten theory. Moreover, we explain in detail how to construct matrix product operators for SU(2)-invariant three-spin interactions, something that had not been addressed with sufficient depth in the literature.
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000467726600007
%R 10.1103/PhysRevB.99.205121
%U https://juser.fz-juelich.de/record/864698