Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 075124 |
| Fachzeitschrift | Physical Review B - Condensed Matter and Materials Physics |
| Jahrgang | 83 |
| Ausgabenummer | 7 |
| Publikationsstatus | Veröffentlicht - 28 Feb. 2011 |
| Extern publiziert | Ja |
Abstract
We analyze the toric code model in the presence of quenched disorder, which is introduced via different types of random magnetic fields. In general, close to a quantum phase transition between a spin polarized phase and a topologically ordered one, we find that increasing the amount of disorder favors the topological phase. For some realizations of disorder, topological order can be robust against arbitrarily strong magnetic fields. In the case of the toric code in a random ±h field, we show that the system exhibits a quantum phase transition to a spin-glass phase in an appropriate dual variables description. The survival of topological order in the spin-glass phase is directly related to the percolation properties of the rigid lattice in the Edwards-Anderson bimodal spin-glass model. According to recent numerical results for this model, it is likely that the rigid lattice does not percolate and, as a result, a new intermediate quantum phase appears in the random-field toric code. In this intermediate quantum phase, topological order coexists with spin glassiness.
ASJC Scopus Sachgebiete
- Werkstoffwissenschaften (insg.)
- Elektronische, optische und magnetische Materialien
- Physik und Astronomie (insg.)
- Physik der kondensierten Materie
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in: Physical Review B - Condensed Matter and Materials Physics, Jahrgang 83, Nr. 7, 075124, 28.02.2011.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Interplay of topological order and spin glassiness in the toric code under random magnetic fields
AU - Tsomokos, Dimitris I.
AU - Osborne, Tobias J.
AU - Castelnovo, Claudio
PY - 2011/2/28
Y1 - 2011/2/28
N2 - We analyze the toric code model in the presence of quenched disorder, which is introduced via different types of random magnetic fields. In general, close to a quantum phase transition between a spin polarized phase and a topologically ordered one, we find that increasing the amount of disorder favors the topological phase. For some realizations of disorder, topological order can be robust against arbitrarily strong magnetic fields. In the case of the toric code in a random ±h field, we show that the system exhibits a quantum phase transition to a spin-glass phase in an appropriate dual variables description. The survival of topological order in the spin-glass phase is directly related to the percolation properties of the rigid lattice in the Edwards-Anderson bimodal spin-glass model. According to recent numerical results for this model, it is likely that the rigid lattice does not percolate and, as a result, a new intermediate quantum phase appears in the random-field toric code. In this intermediate quantum phase, topological order coexists with spin glassiness.
AB - We analyze the toric code model in the presence of quenched disorder, which is introduced via different types of random magnetic fields. In general, close to a quantum phase transition between a spin polarized phase and a topologically ordered one, we find that increasing the amount of disorder favors the topological phase. For some realizations of disorder, topological order can be robust against arbitrarily strong magnetic fields. In the case of the toric code in a random ±h field, we show that the system exhibits a quantum phase transition to a spin-glass phase in an appropriate dual variables description. The survival of topological order in the spin-glass phase is directly related to the percolation properties of the rigid lattice in the Edwards-Anderson bimodal spin-glass model. According to recent numerical results for this model, it is likely that the rigid lattice does not percolate and, as a result, a new intermediate quantum phase appears in the random-field toric code. In this intermediate quantum phase, topological order coexists with spin glassiness.
UR - http://www.scopus.com/inward/record.url?scp=79961050094&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.83.075124
DO - 10.1103/PhysRevB.83.075124
M3 - Article
AN - SCOPUS:79961050094
VL - 83
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
SN - 1098-0121
IS - 7
M1 - 075124
ER -