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Floating phase in the one-dimensional transverse axial next-nearest-neighbor Ising model
Anjan Kumar Chandra1, Subinay Dasgupta
1Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Calcutta 700009, India.
Summary
This study investigates the ground state of an axial next-nearest-neighbor Ising chain. Researchers found two phase-transition lines and identified a floating phase in specific magnetic field conditions.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
- Quantum Magnetism
Background:
- The axial next-nearest-neighbor Ising model is a fundamental model in statistical mechanics.
- Understanding its ground state properties under external fields is crucial for various physical phenomena.
Purpose of the Study:
- To analyze the ground state phase diagram of the Ising chain.
- To investigate the influence of frustration and transverse fields on magnetic ordering.
Main Methods:
- Two distinct perturbative analysis schemes were employed.
- The first method used the known ground state at kappa=0.5 and Gamma=0 as a reference.
- The second method considered domain structures as a perturbation.
Main Results:
- Two phase-transition lines were identified originating from kappa=0.5, Gamma=0.
- A floating phase was found to exist for small transverse fields.
- This floating phase occupies the region between ferromagnetic and antiphase states.
Conclusions:
- The study elucidates the complex phase diagram of the Ising chain under frustration and transverse fields.
- The existence of a floating phase highlights novel magnetic behaviors in such systems.
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