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Phase Transitions02:31

Phase Transitions

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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...
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Phase Transitions: Sublimation and Deposition02:33

Phase Transitions: Sublimation and Deposition

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Some solids can transition directly into the gaseous state, bypassing the liquid state, via a process known as sublimation. At room temperature and standard pressure, a piece of dry ice (solid CO2) sublimes, appearing to gradually disappear without ever forming any liquid. Snow and ice sublimate at temperatures below the melting point of water, a slow process that may be accelerated by winds and the reduced atmospheric pressures at high altitudes. When solid iodine is warmed, the solid sublimes...
20.3K
Phase Transitions: Melting and Freezing02:39

Phase Transitions: Melting and Freezing

15.3K
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...
15.3K
Phase Transitions: Vaporization and Condensation02:39

Phase Transitions: Vaporization and Condensation

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The physical form of a substance changes on changing its temperature. For example, raising the temperature of a liquid causes the liquid to vaporize (convert into vapor). The process is called vaporization—a surface phenomenon. Vaporization occurs when the thermal motion of the molecules overcome the intermolecular forces, and the molecules (at the surface) escape into the gaseous state. When a liquid vaporizes in a closed container, gas molecules cannot escape. As these gas phase molecules...
21.6K
Quantum Numbers02:43

Quantum Numbers

52.4K
It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
52.4K
Superconductor01:24

Superconductor

1.8K
A substance that reaches superconductivity, a state in which magnetic fields cannot penetrate, and there is no electrical resistance, is referred to as a superconductor. In 1911, Heike Kamerlingh Onnes of Leiden University, a Dutch physicist, observed a relation between the temperature and the resistance of the element mercury. The mercury sample was then cooled in liquid helium to study the linear dependence of resistance on temperature. It was observed that, as the temperature decreased, the...
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Related Experiment Video

Updated: Feb 14, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

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Quantum phase transitions in highly crystalline two-dimensional superconductors.

Yu Saito1, Tsutomu Nojima2, Yoshihiro Iwasa3,4

  • 1Quantum-Phase Electronics Center (QPEC) and Department of Applied Physics, The University of Tokyo, Tokyo, 113-8656, Japan. saito@mp.t.u-tokyo.ac.jp.

Nature Communications
|February 24, 2018
PubMed
Summary

Quantum phase transitions in 2D superconductors reveal a new quantum Griffiths state. This study contrasts with previous models, highlighting superconducting puddles in crystalline materials.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials Science

Background:

  • Superconductor-insulator transitions are key quantum phenomena in 2D systems.
  • Previous studies focused on disordered films, using scaling laws with constant exponents.

Purpose of the Study:

  • To investigate quantum phase transitions (QPT) in highly crystalline 2D superconductors.
  • To offer a new perspective on QPT distinct from disordered systems.

Main Methods:

  • Magneto-transport measurements were performed on 2D superconducting ZrNCl and MoS2.
  • Analysis focused on scaling behavior and critical exponents.

Main Results:

  • A quantum metallic state transitions to a quantum Griffiths state, then to a weakly localized metal under varying magnetic fields.
  • The scaling behavior shows a diverging dynamical critical exponent, indicating a Griffiths singularity.
  • Quantum fluctuations manifest as superconducting puddles, differing from thermal fluctuations.

Conclusions:

  • The evolution from quantum metallic to quantum Griffiths state is a general characteristic of highly crystalline 2D superconductors with weak pinning potentials.
  • This finding challenges previous understandings of QPT in 2D superconducting systems.