Berezinskii-Kosterlitz-Thouless Transition in Two-Dimensional Dipolar Stripes
arXiv:1912.04279 · doi:10.1103/PhysRevA.100.063614
Abstract
A two-dimensional quantum system of dipoles, with a polarization angle not perpendicular to the plane, shows a transition from a gas to a stripe phase. We have studied the thermal properties of these two phases using the path integral Monte Carlo (PIMC) method. By simulating the thermal density matrix, PIMC provides exact results for magnitudes of interest such as the superfluid fraction and the one-body density matrix. As it is well known, in two dimensions the superfluid-to-normal phase transition follows the Berezinskii-Kosterlitz-Thouless (BKT) scenario. Our results show that both the anisotropic gas and the stripe phases follow the BKT scaling laws. At fixed density and increasing the tilting angle, the transition temperature decreases in going from the gas to the stripe phase. Superfluidity in the perpendicular direction to the stripes is rather small close to the critical temperature but it becomes larger at lower temperatures, mainly close to the transition to the gas. Our results are in qualitative agreement with the supersolidity observed recently in a quasi-one-dimensional array of dipolar droplets.
References in corpus (29)
- Supersolid formation in a quantum gas breaking continuous translational symmetry
- Observation of a dipolar quantum gas with metastable supersolid properties
- Transient supersolid properties in an array of dipolar quantum droplets
- Long-lived and transient supersolid behaviors in dipolar quantum gases
- Worm Algorithm and Diagrammatic Monte Carlo: A New Approach to Continuous-Space Path Integral Monte Carlo Simulations
- Supersolid symmetry breaking from compressional oscillations in a dipolar quantum gas
- The low-energy Goldstone mode in a trapped dipolar supersolid
- Excitation spectrum of a trapped dipolar supersolid and its experimental evidence
- Quantum phase transition in a two-dimensional system of dipoles
- Superstripes and the excitation spectrum of a spin-orbit-coupled Bose-Einstein condensate
- Absence of supersolidity in solid helium in porous Vycor glass
- Superfluid behaviour of a two-dimensional Bose gas
- Observation of the Berezinskii-Kosterlitz-Thouless Phase Transition in an Ultracold Fermi Gas
- Gradient Symplectic Algorithms for Solving the Schroedinger Equation with Time-Dependent Potentials
- Supersolid behaviour of a dipolar Bose-Einstein condensate confined in a tube
- Berezinskii-Kosterlitz-Thouless transition in two-dimensional dipole systems
- High order Chin actions in path integral Monte Carlo
- Excitations and Stripe Phase Formation in a 2D Dipolar Bose Gas with Tilted Polarization
- Dipolar Bose Superstripes
- Quantum Statistical Calculations and Symplectic Corrector Algorithms
- Collisionless sound in a uniform two-dimensional Bose gas
- Universal Superfluid Transition and Transport Properties of Two-Dimensional Dirty Bosons
- Quantum phases of tilted dipolar bosons in two-dimensional optical lattice
- Microscopic description of anisotropic low-density dipolar Bose gases in two dimensions
- Phase diagram of dipolar bosons in 2D with tilted polarization
- Supersolid stripe crystal from finite-range interactions on a lattice
- Liquid crystal phases of two-dimensional dipolar gases and Berezinskii-Kosterlitz-Thouless melting
- Quantum and thermal melting of stripe forming systems with competing long ranged interactions
- BKT universality class in the presence of correlated disorder
Cited by in corpus (17)
- Supersolidity in ultra-cold dipolar gases
- Ground-state stability and excitation spectrum of a one-dimensional dipolar supersolid
- Path-integral Monte Carlo worm algorithm for Bose systems with periodic boundary conditions
- Supersolid phases of lattice dipoles tilted in three-dimensions
- Emergence of a spin microemulsion in spin-orbit coupled Bose-Einstein condensates
- Trapped Bose-Bose mixtures at finite temperature: a quantum Monte Carlo approach
- Exploring the Berezinskii-Kosterlitz-Thouless Transition in a Two-dimensional Dipolar Bose Gas
- Induced supersolidity and hypersonic flow of a dipolar Bose-Einstein Condensate in a rotating bubble trap
- Density-wave-type supersolid of two-dimensional tilted dipolar bosons
- Comment on "Berezinskii-Kosterlitz-Thouless transition in two-dimensional dipolar stripes"
- Reply to the Comment on "Berezinskii-Kosterlitz-Thouless Transition in Two-Dimensional Dipolar Stripes"
- Creating and melting a supersolid by heating a quantum dipolar system
- Tilted dipolar bosons in the quasi-two-dimensional regime: From liquid stripes to droplets
- Finite temperature instabilities of 2D dipolar Bose gas at arbitrary tilt angle
- Dynamical signatures of superfluidity and shear rigidity in different phases of a dipolar Bose-Einstein condensate
- Strongly dipolar molecular Bose-Einstein condensates: From few- to many-body physics
- Excitations and anisotropic sound in planar dipolar supersolids with tilted dipoles