Related Experiment Video
Updated: Jun 14, 2026
08:55
Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
Quantum phase transition in a disordered long-range transverse Ising antiferromagnet
Anjan Kumar Chandra1, Jun-ichi Inoue, Bikas K Chakrabarti
1Centre for Applied Mathematics and Computational Science and Theoretical Condensed Matter Physics Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700064, India. anjan.chandra@saha.ac.in
Summary
Disordered long-range Ising antiferromagnets in a transverse field exhibit a stable spin-glass order with infinitesimal disorder. This glass order is destroyed by thermal or quantum fluctuations, leading to a paramagnetic phase.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
- Disordered Systems
Background:
- The behavior of magnetic systems with long-range interactions under external fields and disorder is complex.
- Understanding phase transitions in such systems is crucial for developing new materials and technologies.
Purpose of the Study:
- To investigate the phase diagrams of a long-range Ising antiferromagnet in a transverse field (LRTIAF) with disorder.
- To analyze the interplay between transverse fields, thermal/quantum fluctuations, and spin-glass disorder.
Main Methods:
- Quantum Monte Carlo simulations for the pure system.
- Analytical studies for phase transitions in disordered systems.
- Classical and quantum Monte Carlo methods for confirmation.
Main Results:
- Antiferromagnetic order is suppressed by thermal or quantum fluctuations.
- Infinitesimal Sherrington-Kirkpatrick (SK) spin-glass disorder induces a stable glass order in LRTIAF.
- This glass order transitions to a paramagnetic phase upon increasing fluctuations.
Conclusions:
- Disordered LRTIAF systems display a surrogate incubation property for the SK spin-glass phase.
- The study provides a comprehensive understanding of phase transitions in these complex magnetic systems.
More Related Videos
Related Concept Videos
01:21Phase Transitions
A phase transition is the process in which a substance changes from one state of matter to another, like from a solid to a liquid, liquid to gas, or vice versa, at a specific temperature and under given pressure conditions. This change is spontaneous and is affected by alterations in temperature and pressure. These parameters impact the strength of the forces between molecules (intermolecular forces) in the substance.During a phase transition, both the initial and final phases of the substance...
02:31Phase Transitions
Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to occupy...
02:39Phase Transitions: Melting and Freezing
Heating a crystalline solid increases the average energy of its atoms, molecules, or ions, and the solid gets hotter. At some point, the added energy becomes large enough to partially overcome the forces holding the molecules or ions of the solid in their fixed positions, and the solid begins the process of transitioning to the liquid state or melting. At this point, the temperature of the solid stops rising, despite the continual input of heat, and it remains constant until all of the solid is...
01:23Atomic Nuclei: Nuclear Relaxation Processes
In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis, the precessing magnetic moments are randomly oriented around the z-axis. This...
01:14Atomic Nuclei: Nuclear Spin State Population Distribution
Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
01:02¹H NMR: Interpreting Distorted and Overlapping Signals
Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...