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Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
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Spontaneous symmetry breaking and frustrated phases
Heitor Casasola1, Carlos A Hernaski2, Pedro R S Gomes1
1Departamento de Física, Universidade Estadual de Londrina, 86057-970 Londrina, Paraná, Brazil.
Physical Review. E
|October 16, 2021
Summary
This study reveals a rich phase structure in a frustrated quantum system, featuring multiple quantum phase transitions and exotic symmetries like polynomial shift symmetry, crucial for understanding fractonic phases.
Area of Science:
- Condensed Matter Physics
- Quantum Many-Body Systems
- Statistical Mechanics
Background:
- Investigating frustrated quantum systems is key to understanding emergent phenomena.
- Quantum phase transitions (QPTs) drive changes in system properties at zero temperature.
- Frustration in lattice models leads to complex, often exotic, ground states.
Purpose of the Study:
- To explore the rich phase structure of a frustrated quantum system with short-range interactions.
- To analyze quantum phase transitions, including gapped-to-gapless and gapless-to-gapless transitions.
- To characterize gapless phases, their symmetries, and excitations, particularly in relation to fractonic phases.
Main Methods:
- Theoretical study of a lattice model with a single quantum degree of freedom per site.
- Analysis of interactions up to second neighbors to induce frustration.
- Investigation of quantum critical behavior and correlation functions at zero temperature.
Main Results:
- Observed multiple quantum phase transitions, including transitions between gapped and gapless phases.
- Identified a rich phase structure with disordered, homogeneous, and modulated ordered phases meeting at a quantum Lifshitz point.
- Characterized gapless phases breaking spatial and internal U(1)^{N_{c}} symmetries, with Goldstone excitations.
- Discovered regions exhibiting generalized symmetries like polynomial shift symmetry, relevant to fractonic phases.
Conclusions:
- The studied frustrated quantum system exhibits a complex phase diagram with diverse ordered and disordered phases.
- Quantum phase transitions are driven by frustration and lead to spontaneous symmetry breaking.
- The identification of polynomial shift symmetry provides insights into the nature of fractonic phases and exotic quantum matter.
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