Efficient non-equidistant FFT approach to the measurement of single- and two-particle quantities in continuous time Quantum Monte Carlo methods

Journal of Physics: Conference Series

Volumn 402, Issue 1, 2012, Pages

  Staar, Peter ^a   Maier, Thomas A ^b   Schulthess, Thomas C ^a,b  

^a ETH ZURICH   (Switzerland)

^b OAK RIDGE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DISCRETE FOURIER TRANSFORMS; GREEN'S FUNCTION; MONTE CARLO METHODS;

ARITHMETICAL OPERATIONS; LOGARITHMIC DECAY; MATSUBARA FREQUENCY; MEASUREMENT ALGORITHMS; MEASUREMENT METHODS; MERMIN-WAGNER THEOREM; SINGLE PARTICLE; TIME CLUSTERS; TIME QUANTUM;

CONTINUOUS TIME SYSTEMS;

EID: 84874287925     PISSN: 17426588     EISSN: 17426596     Source Type: Conference Proceeding    
DOI: 10.1088/1742-6596/402/1/012015     Document Type: Conference Paper

References (15)

1. Jarrell M, T Maier and C Huscroft 2001 "Quantum Monte Carlo algorithm for nonlocal corrections to the dynamical mean-field approximation," Phys. Rev. B
2. Maier T, M Jarrell, T Pruschke and M Hettler 2005 "Quantum cluster theories," Rev. Mod. Phys. 77 (no. 3) pp. 1027-1080
3. Maier T, M Jarrell, T Schulthess, P Kent and J White 2005 "Systematic Study of d-Wave Superconductivity in the 2D Repulsive Hubbard Model," Phys. Rev. Lett. 95 237001
4. Kent P, M Jarrell, T Maier and T Pruschke 2005 "Efficient calculation of the antiferromagnetic phase diagram of the three-dimensional hubbard model," Phys. Rev. B 72 060411
5. Hirsch J E and R M Fye 1986 "Monte carlo method for magnetic impurities in metals," Phys. Rev. Lett. 56 pp. 2521-2524
6. Gull E, A J Millis, A I Lichtenstein, A N Rubtsov, M Troyer and P Werner 2011 "Continuous-time monte carlo methods for quantum impurity models," Rev. Mod. Phys. 83 pp. 349-404
7. Gull E, P Werner, O Parcollet and M Troyer 2008 "Continuous-time auxiliary-field monte carlo for quantum impurity models," EPL (Europhysics Lett.) 82 (no. 5) p. 57003 (6pp)
8. Gull E, P Staar, S Fuchs, P Nukala, M S Summers, T Pruschke, T C Schulthess and T Maier 2011 "Submatrix updates for the continuous-time auxiliary-field algorithm," Phys. Rev. B 83 075122
9. Keiner J, S Kunis and D Potts 2009 "Using NFFT3 - a software library for various nonequispaced fast Fourier transforms," ACM Trans. Math. Software 36 (30) pp. 19:1-19
10. Alvarez G, M S Summers, D E Maxwell, M Eisenbach, J S Meredith, J M Larkin, J Levesque, T A Maier, P R C Kent, E F D'Azevedo and T C Schulthess 2008 "New algorithm to enable 400+ TFlop/s sustained performance in simulations of disorder effects in high-Tc superconductors," SC '08: Proc. of the 2008 ACM/IEEE conference on Supercomputing (Piscataway, NJ, USA) pp. 1-10 IEEE Press
11. Abrikosov A A, L P Gorkov and I Y Dzyaloshinskii 1965 Quantum field theoretical methods in statistical physics, International series of monographs in natural philosophy. (Pergamon Press, Oxford)
12. Werner P, A Comanac, L de' Medici, et al 2006 "Continuous-time solver for quantum impurity models," Phys. Rev. Lett. 97 (no. 7) 076405
13. Werner P and A J Millis 2006 "Hybridization expansion impurity solver: General formulation and application to kondo lattice and two-orbital models," Phys. Rev. B 74 (no. 15) 155107
14. Frigo M and S G Johnson 2005 "The design and implementation of FFTW3," Proceedings the IEEE 93 (no. 2) pp. 216-231 Special issue on "Program Generation, Optimization, and Platform Adaptation".
15. Maier T A, M S Jarrell and D J Scalapino 2006 "Structure of the pairing interaction in the two-dimensional hubbard model," Phys. Rev. Lett. 96 047005