Related Experiment Video
Updated: Mar 9, 2026
05:30
Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
Published on: September 8, 2023
1.2K
Quantum phase transition induced by real-space topology.
Scientific Reports
|December 23, 2016
Summary
This study reveals quantum phase transitions driven by system topology, not just global parameters. A honeycomb lattice model shows a second-order transition when its torus geometry changes to a tube.
Area of Science:
- Condensed Matter Physics
- Quantum Mechanics
- Materials Science
Background:
- Quantum phase transitions (QPTs) are typically induced by global parameter changes.
- Topological and symmetry-breaking QPTs are well-established phenomena.
- The role of real-space topology in driving QPTs is less explored.
Purpose of the Study:
- To demonstrate the existence of QPTs induced by the real-space topology of a system.
- To investigate the ground-state properties of a tight-binding model on a honeycomb lattice with varying topology.
- To reveal the connection between quantum phases and the real-space topology.
Main Methods:
- Utilizing exact results to analyze the ground-state properties.
- Employing a tight-binding model on a honeycomb lattice.
- Investigating systems with torus and tube geometries.
Main Results:
- The ground state exhibits a second-order quantum phase transition.
- The transition is characterized by observable scaling behavior.
- The transition is directly linked to the change in the system's real-space topology.
Conclusions:
- Real-space topology can induce quantum phase transitions.
- The transition observed is a second-order QPT with scaling properties.
- This work establishes a novel link between quantum phases and system topology.
Related Concept Videos
02:31Phase Transitions
23.6K
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...
23.6K
01:21Phase Transitions
27
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...
27
02:39Phase Transitions: Vaporization and Condensation
21.9K
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...
21.9K
02:39Phase Diagrams
51.0K
A phase diagram combines plots of pressure versus temperature for the liquid-gas, solid-liquid, and solid-gas phase-transition equilibria of a substance. These diagrams indicate the physical states that exist under specific conditions of pressure and temperature and also provide the pressure dependence of the phase-transition temperatures (melting points, sublimation points, boiling points). Regions or areas labeled solid, liquid, and gas represent single phases, while lines or curves represent...
51.0K
02:39Phase Transitions: Melting and Freezing
15.4K
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...
15.4K
01:28Phase Diagrams of Ternary Systems
24
Consider a ternary system, which is composed of three components: water (W), ethanoic acid (E), and trichloromethane (T). Here, Ethanoic acid (E) is fully miscible with both water (W) and trichloromethane (T), meaning it can mix entirely with either of them. However, water and trichloromethane have partial miscibility, meaning they can only mix to a certain extent, beyond which two separate phases will form.The phase diagram of a ternary system is represented as an equilateral triangle, where...
24