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Model states for a class of chiral topological order interfaces
V Crépel1, N Claussen2, B Estienne3
1Laboratoire de Physique de l'École Normale supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Sorbonne Paris Cité, Université Paris Diderot, 75005, Paris, France. crepel@lpa.ens.fr.
Nature Communications
|April 25, 2019
Summary
We introduce a new model for interfaces between topological phases of matter, using matrix product states to capture universal properties and low-energy physics of Laughlin and Halperin states.
Area of Science:
- Condensed Matter Physics
- Topological Phases of Matter
- Quantum Entanglement
Background:
- Interfaces between distinct topological phases exhibit complex phenomena.
- Effective field theories are insufficient for describing these interfaces.
- Understanding these systems is crucial for quantum information and materials science.
Purpose of the Study:
- To develop a microscopic model for interfaces between Abelian topological states.
- To go beyond effective field theories for interface phenomena.
- To capture both universal and microscopic properties of topological interfaces.
Main Methods:
- Utilizing matrix product states (MPS) to construct model wavefunctions.
- Developing wavefunctions that encompass both bulk and interface regions.
- Performing extensive numerical simulations to analyze system properties.
Main Results:
- The proposed model wavefunctions accurately describe the Laughlin and Halperin states interface.
- Identified universal properties, including the central charge of the gapless interface mode.
- Captured microscopic features and low-energy physics relevant to experimental Hamiltonians.
Conclusions:
- Matrix product states provide a powerful framework for modeling topological interfaces.
- The approach offers a pathway to study complex quantum phenomena beyond effective theories.
- This method is generalizable to other topological phases described by tensor networks.
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