Discretized Thermal Green's Functions

Details Discretized Thermal Green's Functions Discretized Thermal Green's Functions

2011-03-17

arxiv.org/abs/1103.3516v2

Ann. Phys. 524, No. 3-4, 147-152 (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1002/andp.201100262

We present a spectral weight conserving formalism for Fermionic thermal Green's functions that are discretized in imaginary time and thus periodic in imaginary ("Matsubara") frequency. The formalism requires a generalization of the Dyson equation and the Baym-Kadanoff-Luttinger-Ward functional for the free energy. A conformal transformation is used to analytically continue the periodized Matsubara Green's function to the continuous real axis in a way that conserves the discontinuity at t=0 of the corresponding real-time Green's function. For given discretization the method allows numerical Green's function calculations of very high precision and it appears to give a well controlled convergent approximation as we decrease the discretization interval. The ideas are tested on Dynamical Mean Field Theory calculations of the paramagnetic Hubbard model.

Affiliated with

Also associated with

No associations

Rating

Discretized Thermal Green's Functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Discretized Thermal Green's Functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Discretized Thermal Green's Functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-183981