3 papers
cond-mat.stat-mech2018
Strong randomness criticality in the scratched-XY model
Tobias Pfeffer, Zhiyuan Yao, Lode Pollet
We study the finite-temperature superfluid transition in a modified two-dimensional (2D) XY model with power-law distributed "scratch"-like bond disorder. As its exponent decreases…
cond-mat.stat-mech2018
Full and unbiased solution of the Dyson-Schwinger equation in the functional integro-differential representation
Tobias Pfeffer, Lode Pollet
We provide a full and unbiased solution to the Dyson-Schwinger equation illustrated for theory in 2D. It is based on an exact treatment of the functional derivative $\partial…
cond-mat.stat-mech2017
A stochastic root finding approach: The Homotopy Analysis Method applied to Dyson-Schwinger Equations
Tobias Pfeffer, Lode Pollet
We present the construction and stochastic summation of rooted-tree diagrams, based on the expansion of a root finding algorithm applied to the Dyson-Schwinger equations (DSEs). Th…