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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
Systematic study of d-wave superconductivity in the 2D repulsive Hubbard model
T A Maier1, M Jarrell, T C Schulthess
1Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA.
Physical Review Letters
|December 31, 2005
Summary
Superconductivity in high-temperature superconductors is sensitive to cluster size. In large enough clusters, d-wave superconductivity becomes independent of size, showing a finite temperature instability.
Area of Science:
- Condensed matter physics
- Materials science
Background:
- The two-dimensional Hubbard model is crucial for understanding high-temperature superconductors.
- Superconductivity is a phenomenon where materials exhibit zero electrical resistance below a critical temperature.
Purpose of the Study:
- To investigate how cluster size affects superconductivity in the 2D Hubbard model.
- To determine the conditions for stable d-wave superconductivity.
Main Methods:
- Dynamical cluster approximation (DCA) was used as a cluster solver.
- Quantum Monte Carlo (QMC) simulations were employed.
Main Results:
- Small clusters exhibited significant size and geometry effects on superconductivity due to nonlocal order parameters.
- In sufficiently large clusters, results became independent of cluster size.
- A finite temperature instability towards d-wave superconductivity was observed in large clusters.
Conclusions:
- Cluster size is a critical factor in accurately modeling superconductivity.
- The study confirms the existence of d-wave superconductivity in the 2D Hubbard model under specific conditions.
- Results provide insights into the behavior of high-temperature superconductors.
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