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| Hauptseite > Publikationsdatenbank > Quantum criticality on a chiral ladder: An SU(2) infinite density matrix renormalization group study > print |
| Hauptseite > Publikationsdatenbank > Quantum criticality on a chiral ladder: An SU(2) infinite density matrix renormalization group study > print |
| 001 | 864698 | ||
| 005 | 20230426083211.0 | ||
| 024 | 7 | _ | |a 10.1103/PhysRevB.99.205121 |2 doi |
| 024 | 7 | _ | |a 0163-1829 |2 ISSN |
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| 024 | 7 | _ | |a 1538-4489 |2 ISSN |
| 024 | 7 | _ | |a 1550-235X |2 ISSN |
| 024 | 7 | _ | |a 2469-9950 |2 ISSN |
| 024 | 7 | _ | |a 2469-9969 |2 ISSN |
| 024 | 7 | _ | |a 2128/22611 |2 Handle |
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| 037 | _ | _ | |a FZJ-2019-04392 |
| 082 | _ | _ | |a 530 |
| 100 | 1 | _ | |a Schmoll, Philipp |0 P:(DE-HGF)0 |b 0 |e Corresponding author |
| 245 | _ | _ | |a Quantum criticality on a chiral ladder: An SU(2) infinite density matrix renormalization group study |
| 260 | _ | _ | |a Woodbury, NY |c 2019 |b APS |
| 336 | 7 | _ | |a article |2 DRIVER |
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| 520 | _ | _ | |a 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. |
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| 700 | 1 | _ | |a Orús, Román |0 P:(DE-HGF)0 |b 3 |
| 773 | 1 | 8 | |a 10.1103/physrevb.99.205121 |b American Physical Society (APS) |d 2019-05-13 |n 20 |p 205121 |3 journal-article |2 Crossref |t Physical Review B |v 99 |y 2019 |x 2469-9950 |
| 773 | _ | _ | |a 10.1103/PhysRevB.99.205121 |g Vol. 99, no. 20, p. 205121 |0 PERI:(DE-600)2844160-6 |n 20 |p 205121 |t Physical review / B |v 99 |y 2019 |x 2469-9950 |
| 856 | 4 | _ | |y OpenAccess |u https://juser.fz-juelich.de/record/864698/files/PhysRevB.99.205121.pdf |
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