Related Experiment Video
Updated: Oct 20, 2025

05:39
Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
9.9K
Robust d-Wave Superconductivity in the Square-Lattice t-J Model
Shoushu Gong1, W Zhu2, D N Sheng3
1Department of Physics, Beihang University, Beijing 100191, China.
Physical Review Letters
|September 10, 2021
Summary
Researchers explored superconductivity in doped Mott insulators using the t-J model. They found robust d-wave superconductivity emerges from enhanced charge and spin fluctuations at optimal doping levels.
Area of Science:
- Condensed matter physics
- Quantum materials science
Background:
- Doped Mott insulators exhibit complex competing orders.
- Understanding their interplay with unconventional superconductivity is a key challenge.
Purpose of the Study:
- To investigate the superconducting state in a doped Mott insulator.
- To establish a quantum phase diagram of the square-lattice t-J model.
Main Methods:
- Utilized density matrix renormalization group (DMRG) calculations.
- Imposed U(1) and SU(2) symmetries on six-leg cylinders.
- Studied the t-J model with nearest-neighbor and next-nearest-neighbor interactions.
Main Results:
- Identified three distinct phases: stripe charge density wave, superconducting without static charge order, and superconducting with weak charge stripe order.
- Demonstrated power-law decay in superconducting pairing correlations, slower than charge/spin correlations.
- Characterized superconductivity as a quasi-1D descendant of 2D d-wave superconductivity.
Conclusions:
- Optimal doping and enhanced charge/spin fluctuations drive robust d-wave superconductivity in doped Mott insulators.
- Provides a link between superconductivity theories and strongly correlated systems.
- Offers insights into emergent phenomena in quantum materials.
Related Concept Videos
Theory of Metallic Conduction
1.5K
The conduction of free electrons inside a conductor is best described by quantum mechanics. However, a classical model makes predictions close to the results of quantum mechanics. It is called the theory of metallic conduction.
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
1.5K
Ferromagnetism
2.5K
Materials like iron, nickel, and cobalt consist of magnetic domains, within which the magnetic dipoles are arranged parallel to each other. The magnetic dipoles are rigidly aligned in the same direction within a domain by quantum mechanical coupling among the atoms. This coupling is so strong that even thermal agitation at room temperature cannot break it. The result is that each domain has a net dipole moment. However, some materials have weaker coupling, and are ferromagnetic at lower...
2.5K
Types Of Superconductors
1.2K
A superconductor is a substance that offers zero resistance to the electric current when it drops below a critical temperature. Zero resistance is not the only interesting phenomenon as materials reach their transition temperatures. A second effect is the exclusion of magnetic fields. This is known as the Meissner effect. A light, permanent magnet placed over a superconducting sample will levitate in a stable position above the superconductor. High-speed trains that levitate on strong...
1.2K
Trends in Lattice Energy: Ion Size and Charge
25.2K
An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
25.2K
Crystal Field Theory - Tetrahedral and Square Planar Complexes
45.4K
Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
45.4K
Crystal Field Theory - Octahedral Complexes
28.5K
Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
28.5K

