TY  - JOUR
AU  - Schmoll, Philipp
AU  - Haller, Andreas
AU  - Rizzi, Matteo
AU  - Orús, Román
TI  - Quantum criticality on a chiral ladder: An SU(2) infinite density matrix renormalization group study
JO  - Physical review / B
VL  - 99
IS  - 20
SN  - 2469-9950
CY  - Woodbury, NY
PB  - APS
M1  - FZJ-2019-04392
SP  - 205121
PY  - 2019
AB  - 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000467726600007
DO  - DOI:10.1103/PhysRevB.99.205121
UR  - https://juser.fz-juelich.de/record/864698
ER  -