Phase diagram for interacting Bose gases
arXiv:cond-mat/0701280 · doi:10.1103/PhysRevB.76.075116
Abstract
We propose a new form of the inversion method in terms of a selfenergy expansion to access the phase diagram of the Bose-Einstein transition. The dependence of the critical temperature on the interaction parameter is calculated. This is discussed with the help of a new condition for Bose-Einstein condensation in interacting systems which follows from the pole of the T-matrix in the same way as from the divergence of the medium-dependent scattering length. A many-body approximation consisting of screened ladder diagrams is proposed which describes the Monte Carlo data more appropriately. The specific results are that a non-selfconsistent T-matrix leads to a linear coefficient in leading order of 4.7, the screened ladder approximation to 2.3, and the selfconsistent T-matrix due to the effective mass to a coefficient of 1.3 close to the Monte Carlo data.
References in corpus (28)
- Conserving and Gapless Approximations for an Inhomogeneous Bose Gas at Finite Temperatures
- Theory of the Weakly Interacting Bose Gas
- The transition temperature of the dilute interacting Bose gas
- Transition temperature of a dilute homogeneous imperfect Bose gas
- On the correct strong-coupling limit in the evolution from BCS superconductivity to Bose-Einstein condensation
- Critical Temperature of Bose-Einstein Condensation of Hard Sphere Gases
- The critical temperature of a trapped, weakly interacting Bose gas
- The transition temperature of the dilute interacting Bose gas for internal degrees of freedom
- Transition Temperature of the homogeneous, weakly interacting Bose gas
- Bose-Einstein transition in a dilute interacting gas
- T_c for homogeneous dilute Bose gases: a second-order result
- Effective s- and p-Wave Contact Interactions in Trapped Degenerate Fermi Gases
- Transition Temperature for Weakly Interacting Homogeneous Bose Gases
- Generalized Pseudopotentials for Higher Partial Wave Scattering
- A new improved optimization of perturbation theory: applications to the oscillator energy levels and Bose-Einstein critical temperature
- Five-Loop Critical Temperature Shift in Weakly Interacting Homogeneous Bose-Einstein Condensate
- Self-energy and critical temperature of weakly interacting bosons
- Bose-Einstein condensation of interacting gases
- Critical Temperature of a Trapped Bose Gas: Mean-Field Theory and Fluctuations
- Reentrant Phenomenon in Quantum Phase Diagram of Optical Boson Lattice
- Critical behavior of weakly interacting bosons: A functional renormalization group approach
- On the Convergence of the Linear Delta Expansion for the Shift in T_c for Bose-Einstein Condensation
- Dependence of the BEC transition temperature on interaction strength: a perturbative analysis
- Dependence of Variational Perturbation Expansions on Strong-Coupling Behavior. Inapplicability of delta-Expansion to Field Theory
- Retarded versus time-nonlocal quantum kinetic equations
- Quantum Phase Diagram for Homogeneous Bose-Einstein Condensate
- Thermally induced rotons in two-dimensional dilute Bose gases
- Medium modification of two-particle scattering in nonideal Bose systems