Related Experiment Video
Updated: Jul 9, 2025
06:53
Scanning SQUID Study of Vortex Manipulation by Local Contact
Published on: February 1, 2017
6.9K
Resistivity Tensor of Vortex-Lattice States in Josephson Junction Arrays
Alexander-Georg Penner1, Karsten Flensberg2, Leonid I Glazman3
1Dahlem Center for Complex Quantum Systems and Fachbereich Physik, Freie Universität Berlin, 14195 Berlin, Germany.
Physical Review Letters
|December 1, 2023
Summary
We demonstrate how the resistivity tensor reveals structural and dynamical details of vortex lattice states in 2D Josephson junction arrays. This allows for experimental identification of distinct, symmetry-breaking ground states and phase transitions.
Area of Science:
- Condensed Matter Physics
- Superconductivity
- Vortex matter physics
Background:
- Two-dimensional Josephson junction arrays exhibit complex vortex lattice states when subjected to magnetic fields.
- Understanding these states and their transitions is crucial for fundamental physics and potential applications.
Purpose of the Study:
- To establish the resistivity tensor as a tool for characterizing vortex lattice states.
- To experimentally identify symmetry-breaking ground states and phase transitions in frustrated Josephson junction arrays.
Main Methods:
- Development of a microscopic theory for the resistivity tensor.
- Analysis of the resistivity tensor's response to varying magnetic fields.
Main Results:
- The resistivity tensor provides comprehensive structural and dynamical information.
- Observed a cascade of distinct vortex lattice states.
- Identified transitions to liquid-crystalline vortex states.
Conclusions:
- The resistivity tensor is a powerful experimental probe for vortex lattice physics.
- Confirms predictions of diverse vortex lattice states and transitions in frustrated 2D Josephson junction arrays.
Related Concept Videos
00:51Non-ohmic Devices
1.1K
In most substances, the current flow is proportional to the voltage applied to it. A simple relationship between the values of current, voltage, and resistance is known as Ohm's law. Nonohmic devices do not exhibit a linear relationship between voltage and current. One such device is the semiconducting circuit element known as a diode. A diode is a circuit device that allows current flow in only one direction.
Consider a simple circuit consisting of a battery, a diode, and a resistor. A...
Consider a simple circuit consisting of a battery, a diode, and a resistor. A...
1.1K
01:17Gauss's Law in Dielectrics
4.4K
Consider a polar dielectric placed in an external field. In such a dielectric, opposite charges on adjacent dipoles neutralize each other, such that the net charge within the dielectric is zero. When a polar dielectric is inserted in between the capacitor plates, an electric field is generated due to the presence of net charges near the edge of the dielectric and the metal plates interface. Since the external electrical field merely aligns the dipoles, the dielectric as a whole is neutral. An...
4.4K
01:22Resistivity
3.5K
When a voltage is applied to a conductor, an electrical field is generated, and charges in the conductor feel the force due to the electrical field. The current density that results depends on the electrical field and the properties of the material. In some materials, including metals at a given temperature, the current density is approximately proportional to the electrical field. In these cases, the current density can be modeled as:
3.5K
01:28Magnetic Field Due To A Thin Straight Wire
4.9K
Consider an infinitely long straight wire carrying a current I. The magnetic field at point P at a distance a from the origin can be calculated using the Biot-Savart law.
4.9K
01:19Resistance
4.4K
When a current moves through any conductor, the conductor causes some level of difficulty for the current to flow. The measure of that difficulty is known as the resistance of the material and is represented by R. Every material has its own resistance. In the case of conductors, heat is emitted whenever a current passes through them. Resistance depends on the resistivity of the material. Resistivity is a characteristic of the material used to fabricate electrical components, whereas the...
4.4K
01:27Electrostatic Boundary Conditions in Dielectrics
1.2K
When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's...
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's...
1.2K