Related Experiment Video
Updated: Jul 2, 2025
05:39
Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
9.6K
Effects of third-neighbor interactions on the frustrated quantum Ising model
M Roos1, I F Muhl1, M Schmidt1
1Departamento de Física, Universidade Federal de Santa Maria, 97105-900 Santa Maria, Rio Grande do Sul, Brazil.
Physical Review. E
|February 17, 2024
Summary
The J1-J2-J3 transverse Ising model
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
- Quantum Magnetism
Background:
- The J1-J2-J3 transverse Ising model on a square lattice is a complex system exhibiting rich phase transitions.
- Understanding these transitions is crucial for developing new quantum materials and technologies.
Purpose of the Study:
- To investigate the impact of third-neighbor coupling (J3) on thermal and quantum phase transitions.
- To analyze the role of frustration in the J1-J2-J3 transverse Ising model.
- To explore the conditions for quantum annealed criticality (QAC).
Main Methods:
- Utilizing a cluster mean-field decoupling approach.
- Describing phase diagrams and free-energy landscapes near phase transitions.
- Analyzing the influence of ferromagnetic and antiferromagnetic J3 couplings.
Main Results:
- Ferromagnetic J3 favors continuous order-disorder transitions, suppressing tricritical points.
- Antiferromagnetic J3 enhances frustration, leading to staggered dimer phases and discontinuous transitions.
- Quantum annealed criticality (QAC) is suppressed by ferromagnetic J3 but persists with antiferromagnetic J3.
Conclusions:
- Third-neighbor coupling (J3) significantly alters the nature of phase transitions in the J1-J2-J3 transverse Ising model.
- Frustration, particularly from antiferromagnetic J3, plays a key role in the onset and persistence of quantum annealed criticality.
- The findings provide insights into controlling quantum phase transitions through magnetic couplings.
More Related Videos
08:04Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
8.4K
08:55Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
8.5K
Related Concept Videos
01:02¹H NMR: Interpreting Distorted and Overlapping Signals
1.0K
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...
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...
1.0K
02:45The Quantum-Mechanical Model of an Atom
42.3K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
42.3K
01:23Atomic Nuclei: Nuclear Relaxation Processes
654
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.
654
01:22Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)
1.1K
Vicinal or three-bond coupling is commonly observed between protons attached to adjacent carbons. Here, nuclear spin information is primarily transferred via electron spin interactions between adjacent C‑H bond orbitals. This generally favors the antiparallel arrangement of spins, so 3J values are usually positive.
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the...
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the...
1.1K
01:08NMR Spectroscopy: Spin–Spin Coupling
1.4K
The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved...
1.4K
03:06The Pauli Exclusion Principle
37.2K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
37.2K