Condensation temperature of interacting Bose gases with and without disorder
arXiv:cond-mat/0604550 · doi:10.1103/PhysRevA.73.023616
Abstract
The momentum-shell renormalization group (RG) is used to study the condensation of interacting Bose gases without and with disorder. First of all, for the homogeneous disorder-free Bose gas the interaction-induced shifts in the critical temperature and chemical potential are determined up to second order in the scattering length. The approach does not make use of dimensional reduction and is thus independent of previous derivations. Secondly, the RG is used together with the replica method to study the interacting Bose gas with delta-correlated disorder. The flow equations are derived and found to reduce, in the high-temperature limit, to the RG equations of the classical Landau-Ginzburg model with random-exchange defects. The random fixed point is used to calculate the condensation temperature under the combined influence of particle interactions and disorder.
arXiv comment7 pages, 2 figures
References in corpus (27)
- 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
- Renormalization Group Theory of the Three-Dimensional Dilute Bose Gas
- Thermodynamics of the superfluid dilute Bose gas with disorder
- Bose-Einstein Condensation Temperature of Homogenous Weakly Interacting Bose Gas in Variational Perturbation Theory Through Seven Loops
- Monte Carlo simulation of O(2) phi^4 field theory in three dimensions
- T_c for homogeneous dilute Bose gases: a second-order result
- Transition Temperature for Weakly Interacting Homogeneous Bose Gases
- Non-analytic dependence of the transition temperature of the homogeneous dilute Bose gas on scattering length
- T_c for trapped dilute Bose gases: a second-order result
- Higher Order Evaluation of the Critical Temperature for Interacting Homogeneous Dilute Bose Gases
- Self-energy and critical temperature of weakly interacting bosons
- Five-Loop Critical Temperature Shift in Weakly Interacting Homogeneous Bose-Einstein Condensate
- Bose-Einstein Condensation Temperature of Homogenous Weakly Interacting Bose Gas in Variational Perturbation Theory Through Six Loops
- Asymptotically Improved Convergence of Optimized Perturbation Theory in the Bose-Einstein Condensation Problem
- Convergence of the Linear Delta Expansion in the Critical O(N) Field Theory
- Non-universal Critical Quantities from Variational Perturbation Theory and Their Application to the BEC Temperature Shift
- Application of Renormalization Group Techniques to a Homogeneous Bose Gas at Finite Temperature
- Non Perturbative Renormalization Group, momentum dependence of -point functions and the transition temperature of the weakly interacting Bose gas
- 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
- Exact 1/N and Optimized Perturbative Evaluation of mu_c for Homogeneous Interacting Bose Gases
- Thermodynamic properties of confined interacting Bose gases - a renormalization group approach
- Thermodynamics of a trapped interacting Bose gas and the renormalization group
- Non-Analytic Vertex Renormalization of a Bose Gas at Finite Temperature
- The epsilon-expansion in the symmetry-broken phase of an interacting Bose gas at finite temperature
Cited by in corpus (11)
- Bose-Einstein-condensed systems in random potentials
- Thermodynamics of a Bose-Einstein Condensate with Weak Disorder
- Bose systems in spatially random or time-varying potentials
- Disorder-Induced Shift of Condensation Temperature for Dilute Trapped Bose Gases
- Effects of the Lee-Huang-Yang quantum corrections on a disordered dipolar Bose gas
- Lattice bosons in a quasi-disordered environment: The effects of next-nearest-neighbor hopping on localization and Bose-Einstein condensation
- Disordered Bose-Einstein condensate in hard walls trap
- Critical temperature of non-interacting Bose gases on disordered lattices
- Effects of weak disorder on two-dimensional bilayered dipolar Bose-Einstein condensates
- Effect of random on-site energies on the critical temperature of a lattice Bose gas
- Bogoliubov phonons in a Bose-Einstein condensate from the one-loop perturbative renormalization group