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Weak first-order superfluid-solid quantum phase transitions.

Anatoly Kuklov1, Nikolay Prokof'ev, Boris Svistunov

  • 1Department of Engineering Science and Physics, The College of Staten Island, City University of New York, Staten Island, New York 10314, USA.

Physical Review Letters
|December 17, 2004
PubMed
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We investigated superfluid-solid transitions in 2D lattice boson-spin models. Most transitions are first-order, but some high-symmetry points show weak first-order behavior, potentially mistaken for continuous transitions.

Area of Science:

  • Condensed Matter Physics
  • Quantum Simulation
  • Statistical Mechanics

Background:

  • Superfluid-solid transitions are fundamental in quantum systems.
  • Understanding these transitions in 2D lattice models is crucial for quantum many-body physics.

Purpose of the Study:

  • To investigate the nature of zero-temperature superfluid-solid transitions in 2D lattice boson-spin models.
  • To identify conditions leading to continuous versus first-order transitions.

Main Methods:

  • Utilized worm-algorithm Monte Carlo simulations.
  • Analyzed two-dimensional lattice boson-spin models at zero temperature.

Main Results:

  • Observed that transitions are typically first-order.

Related Experiment Videos

  • Identified special high-symmetry points requiring fine-tuning.
  • Found superfluid-checkerboard and superfluid-valence-bond solid transitions at half-integer filling are extremely weak first-order.

    • Conclusions:

    • Weak first-order transitions can be mistaken for continuous transitions in small systems.
    • Fine-tuning of Hamiltonian parameters is key for specific transition behaviors.