Quantum robustness and phase transitions of the 3D toric code in a field

Reiss DA, Schmidt KP (2019)


Publication Type: Journal article

Publication year: 2019

Journal

Book Volume: 6

Journal Issue: 6

DOI: 10.21468/SciPostPhys.6.6.078

Abstract

We study the robustness of 3D intrinsic topogical order under external perturbations by investigating the paradigmatic microscopic model, the 3D toric code in an external magnetic field. Exact dualities as well as variational calculations reveal a ground-state phase diagram with first and second-order quantum phase transitions. The variational approach can be applied without further approximations only for certain field directions. In the general field case, an approximative scheme based on an expansion of the variational energy in orders of the variational parameters is developed. For the breakdown of the 3D intrinsic topological order, it is found that the (im-) mobility of the quasiparticle excitations is crucial in contrast to their fractional statistics.

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APA:

Reiss, D.A., & Schmidt, K.P. (2019). Quantum robustness and phase transitions of the 3D toric code in a field. SciPost Physics, 6(6). https://dx.doi.org/10.21468/SciPostPhys.6.6.078

MLA:

Reiss, David A., and Kai Phillip Schmidt. "Quantum robustness and phase transitions of the 3D toric code in a field." SciPost Physics 6.6 (2019).

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