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The spontaneous disorder according to flat bands
1Department of Physics, Beijing Normal University, Beijing 100875, People's Republic of China.
Summary
Researchers studied a bosonic Creutz-Hubbard ladder using the Bose-Hubbard model. They found flat energy bands leading to spontaneous disorder and observed checkerboard and biased ladder phases with novel currents.
Area of Science:
- Condensed Matter Physics
- Quantum Simulation
- Many-Body Physics
Background:
- The Creutz-Hubbard model describes interacting bosons on a lattice.
- Understanding emergent phenomena in such systems is crucial for quantum technologies.
Purpose of the Study:
- Investigate the properties of a bosonic Creutz-Hubbard ladder.
- Identify novel quantum phases and current behaviors driven by flat energy bands.
Main Methods:
- Exact diagonalization of the interacting Bose-Hubbard model.
- Analysis of single-particle energy spectra and lattice symmetries.
Main Results:
- Obtained a two-flat-energy-band spectrum under specific parameters.
- Identified spontaneous disorder breaking translational symmetry due to flat bands.
- Observed checkerboard and biased ladder (BL) phases with Meissner and interlaced chiral currents.
Conclusions:
- Flat energy bands in bosonic Creutz-Hubbard ladders induce spontaneous disorder.
- Novel quantum phases, including a modulated BL phase with unique current patterns, emerge from these flat bands.
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