Ising anyons with a string tension
| Autor: | M. D. Schulz, Grégoire Misguich, Julien Vidal, Sébastien Dusuel, Kai Phillip Schmidt |
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| Přispěvatelé: | Institut de Physique Théorique - UMR CNRS 3681 (IPHT), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Institut de Recherche et Développement sur l'Energie Photovoltaïque (IRDEP), Ecole Nationale Supérieure de Chimie de Paris - Chimie ParisTech-PSL (ENSCP), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Institut de Chimie du CNRS (INC)-Centre National de la Recherche Scientifique (CNRS)-EDF R&D (EDF R&D), EDF (EDF)-EDF (EDF) |
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
High Energy Physics - Theory
Anyon FOS: Physical sciences 01 natural sciences Topological quantum computer 010305 fluids & plasmas Condensed Matter - Strongly Correlated Electrons Theoretical physics High Energy Physics - Lattice [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph] Quantum mechanics Lattice (order) 0103 physical sciences 010306 general physics Quantum Physics Quantum Physics Strongly Correlated Electrons (cond-mat.str-el) [PHYS.HLAT]Physics [physics]/High Energy Physics - Lattice [hep-lat] [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] High Energy Physics - Lattice (hep-lat) Condensed Matter Physics Electronic Optical and Magnetic Materials High Energy Physics - Theory (hep-th) [PHYS.COND.CM-GEN]Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other] Quasiparticle Ising model Quantum Physics (quant-ph) Series expansion |
| Zdroj: | Physical Review B: Condensed Matter and Materials Physics (1998-2015) Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2014, 89 (201103), pp.201103. ⟨10.1103/PhysRevB.89.201103⟩ Physical Review B: Condensed Matter and Materials Physics (1998-2015), American Physical Society, 2014, 89 (201103), pp.201103. ⟨10.1103/PhysRevB.89.201103⟩ |
| ISSN: | 1098-0121 1550-235X |
| Popis: | We consider the string-net model on the honeycomb lattice for Ising anyons in the presence of a string tension. This competing term induces a nontrivial dynamics of the non-Abelian anyonic quasiparticles and may lead to a breakdown of the topological phase. Using high-order series expansions and exact diagonalizations, we determine the robustness of this doubled Ising phase which is found to be separated from two gapped phases. An effective quantum dimer model emerges in the large tension limit giving rise to two different translation symmetry-broken phases. Consequently, we obtain four transition points, two of which are associated with first-order transitions whereas the two others are found to be continuous and provide examples of recently proposed Bose condensation for anyons. 10 pages, 8 figures, typos corrected |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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