Abstract
We construct a family of many-body wave functions to study the many-body localization phase transition. The wave functions have a Rokhsar-Kivelson form, in which the weight for the configurations are chosen from the Gibbs weights of a classical spin glass model, known as the random energy model, multiplied by a random sign structure to represent a highly excited state. These wave functions show a phase transition into an MBL phase. In addition, we see three regimes of entanglement scaling with the subsystem size: scaling with the entanglement corresponding to an infinite temperature thermal phase, constant scaling, and a subextensive scaling between these limits. Near the phase transition point, the fluctuations of the Rényi entropies are non-Gaussian. We find that Rényi entropies with different Rényi index transition into the MBL phase at different points and have different scaling behavior, suggesting a multifractal behavior.
| Original language | English (US) |
|---|---|
| Article number | 214204 |
| Journal | Physical Review B - Condensed Matter and Materials Physics |
| Volume | 92 |
| Issue number | 21 |
| DOIs | |
| State | Published - Dec 23 2015 |
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ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
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Many-body localization transition in Rokhsar-Kivelson-type wave functions. / Chen, Xiao; Yu, Xiongjie; Cho, Gil Young; Clark, Bryan K.; Fradkin, Eduardo.
In: Physical Review B - Condensed Matter and Materials Physics, Vol. 92, No. 21, 214204, 23.12.2015.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Many-body localization transition in Rokhsar-Kivelson-type wave functions
AU - Chen, Xiao
AU - Yu, Xiongjie
AU - Cho, Gil Young
AU - Clark, Bryan K.
AU - Fradkin, Eduardo
PY - 2015/12/23
Y1 - 2015/12/23
N2 - We construct a family of many-body wave functions to study the many-body localization phase transition. The wave functions have a Rokhsar-Kivelson form, in which the weight for the configurations are chosen from the Gibbs weights of a classical spin glass model, known as the random energy model, multiplied by a random sign structure to represent a highly excited state. These wave functions show a phase transition into an MBL phase. In addition, we see three regimes of entanglement scaling with the subsystem size: scaling with the entanglement corresponding to an infinite temperature thermal phase, constant scaling, and a subextensive scaling between these limits. Near the phase transition point, the fluctuations of the Rényi entropies are non-Gaussian. We find that Rényi entropies with different Rényi index transition into the MBL phase at different points and have different scaling behavior, suggesting a multifractal behavior.
AB - We construct a family of many-body wave functions to study the many-body localization phase transition. The wave functions have a Rokhsar-Kivelson form, in which the weight for the configurations are chosen from the Gibbs weights of a classical spin glass model, known as the random energy model, multiplied by a random sign structure to represent a highly excited state. These wave functions show a phase transition into an MBL phase. In addition, we see three regimes of entanglement scaling with the subsystem size: scaling with the entanglement corresponding to an infinite temperature thermal phase, constant scaling, and a subextensive scaling between these limits. Near the phase transition point, the fluctuations of the Rényi entropies are non-Gaussian. We find that Rényi entropies with different Rényi index transition into the MBL phase at different points and have different scaling behavior, suggesting a multifractal behavior.
UR - http://www.scopus.com/inward/record.url?scp=84953387808&partnerID=8YFLogxK
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U2 - 10.1103/PhysRevB.92.214204
DO - 10.1103/PhysRevB.92.214204
M3 - Article
AN - SCOPUS:84953387808
VL - 92
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 0163-1829
IS - 21
M1 - 214204
ER -