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Two-dimensional periodic frustrated ising models in a transverse field
1Department of Physics, Jadwin Hall, Princeton University, Princeton, New Jersey 08544, USA.
Physical Review Letters
|September 16, 2000
Summary
We explore quantum dynamics in frustrated Ising systems. Unusual ordered phases, quantum spin liquids, and bond-ordered phases emerge, offering insights into high-temperature superconductivity models.
Area of Science:
- Condensed Matter Physics
- Quantum Magnetism
Background:
- Periodic frustrated transverse field Ising systems exhibit complex behaviors due to competing interactions.
- Understanding quantum dynamics at zero temperature is crucial for discovering novel phases.
Purpose of the Study:
- To investigate the interplay between classical degeneracy and quantum dynamics in frustrated Ising systems.
- To identify emergent phases and phase transitions in these systems.
Main Methods:
- Zero-temperature investigations of periodic frustrated transverse field Ising models.
- Analysis of quantum dynamics and classical degeneracy.
Main Results:
- Discovery of unusual ordered phases and phase transitions.
- Identification of a quantum spin liquid (cooperative paramagnetic) phase in triangular and kagome lattice antiferromagnets.
- Prediction of transitions to bond-ordered and critical phases upon field tilting in kagome systems.
Conclusions:
- Frustrated Ising systems host rich quantum phenomena.
- These systems serve as exact realizations of quantum dimer models relevant to high-temperature superconductivity.