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Phase transition of interacting disordered bosons in one dimension
Zoran Ristivojevic1, Aleksandra Petković, Pierre Le Doussal
1Laboratoire de Physique Théorique-CNRS, Ecole Normale Supérieure, 24 rue Lhomond, 75005 Paris, France.
Physical Review Letters
|October 4, 2012
Summary
Disordered interacting bosons in one dimension transition from a superfluid to a Bose glass state. This study uses bosonization and renormalization group methods to analyze this transition, finding universal exponents at the critical point.
Area of Science:
- Condensed Matter Physics
- Quantum Many-Body Systems
Background:
- Interacting bosons typically form a superfluid state.
- Disorder can drive a transition to a compressible Bose glass state.
Purpose of the Study:
- Investigate the superfluid to Bose glass transition in one dimension for interacting bosons at moderate interaction strengths.
- Characterize the critical behavior and phase diagram of this transition.
Main Methods:
- Utilize bosonization techniques to map the bosonic system to a solvable field theory.
- Employ renormalization group (RG) methods to analyze the flow of coupling constants and determine critical exponents.
- Derive two-loop scaling equations for the RG flow.
Main Results:
- The study successfully derives the two-loop scaling equations governing the transition.
- A detailed phase diagram for the interacting boson system in the presence of disorder is discussed.
- Universal critical exponents characterizing the correlation functions at the transition are identified within a finite region around the fixed point.
Conclusions:
- The findings provide a comprehensive theoretical understanding of the one-dimensional superfluid to Bose glass transition.
- The identification of universal exponents highlights the scale-invariant nature of the critical point.
- This research contributes to the broader understanding of disordered quantum systems and phase transitions.
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