Breakdown of a perturbed \boldsymbol\mathbbmZ_N topological phase

2011/10/31 by M. D. Schulz, Marc Daniel Schulz, S. Dusuel +7 · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat #hep-th #quant-ph

paper · pdf · doi:10.1088/1367-2630/14/2/025005

published as New J. Phys. 14, 025005 (2012) · 27 pages, 10 figures

openalex publication_date 2012/02/17 · arxiv created 2012/03/06 · arxiv updated 2012/03/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We studied the robustness of a generalized Kitaev's toric code with degrees of freedom in the presence of local perturbations. For N = 2, this model reduces to the conventional toric code in a uniform magnetic field. A quantitative analysis was performed for the perturbed toric code by applying a combination of high-order series expansions and variational techniques. We found strong evidence for first- and second-order phase transitions between topologically ordered and polarized phases. Most interestingly, our results also indicate the existence of topological multi-critical points in the phase diagram.

Citations

• Discrete non-Abelian gauge theories in Josephson-junction arrays and quantum computation
• The Structure of Operators in Effective Particle-Conserving Models
• The Bond-Algebraic Approach to Dualities
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• Bound states in two-dimensional spin systems near the Ising limit: A quantum finite-lattice study
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