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Topological order in the pseudogap metal.
Mathias S Scheurer1, Shubhayu Chatterjee2, Wei Wu3,4
1Department of Physics, Harvard University, Cambridge MA 02138; sachdev@g.harvard.edu mscheurer@g.harvard.edu.
Summary
We identified topological order in the Higgs phase of a SU(2) gauge theory by analyzing the electronic Green's function. This finding offers new insights into the pseudogap phase of the Hubbard model and topological phases of matter.
Area of Science:
- Condensed Matter Physics
- Quantum Field Theory
- Materials Science
Background:
- The pseudogap phase in strongly correlated electron systems remains a complex area of research.
- Topological order offers a novel framework for understanding exotic quantum phases.
- SU(2) gauge theories are crucial for describing magnetic interactions in materials.
Purpose of the Study:
- To compute the electronic Green's function for a topologically ordered Higgs phase.
- To compare these results with established methods for the Hubbard model.
- To identify signatures of topological order within condensed matter systems.
Main Methods:
- Calculation of the electronic Green's function for a SU(2) gauge theory.
- Comparison with cluster extensions of dynamical mean-field theory (CDMFT).
- Comparison with quantum Monte Carlo (QMC) simulations.
Main Results:
- Good agreement was found between the Green's function calculations and CDMFT/QMC results.
- Lines of zeros in the Green's function were identified as signatures of topological order.
- A modified, nonperturbative Luttinger theorem for the Higgs phase was derived.
Conclusions:
- Topological order can be identified through specific features of the electronic Green's function.
- The study provides a theoretical framework connecting gauge theories and the Hubbard model.
- The derived Luttinger theorem offers new theoretical tools for studying topological phases.
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