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@ARTICLE{Schmoll:864698,
      author       = {Schmoll, Philipp and Haller, Andreas and Rizzi, Matteo and
                      Orús, Román},
      title        = {{Q}uantum criticality on a chiral ladder: {A}n {SU}(2)
                      infinite density matrix renormalization group study},
      journal      = {Physical review / B},
      volume       = {99},
      number       = {20},
      issn         = {2469-9950},
      address      = {Woodbury, NY},
      publisher    = {APS},
      reportid     = {FZJ-2019-04392},
      pages        = {205121},
      year         = {2019},
      abstract     = {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.},
      cin          = {PGI-8},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-8-20190808},
      pnm          = {6212 - Quantum Condensed Matter: Magnetism,
                      Superconductivity (POF3-621)},
      pid          = {G:(DE-HGF)POF3-6212},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000467726600007},
      doi          = {10.1103/PhysRevB.99.205121},
      url          = {https://juser.fz-juelich.de/record/864698},
}