Continuous-time Monte Carlo renormalization group

Wu, Yantao; Car, Roberto

doi:10.1103/physrevb.102.014456

Continuous-time Monte Carlo renormalization group

Journal Article · Thu Jul 30 00:00:00 EDT 2020 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.102.014456· OSTI ID:1803178

Wu, Yantao ^[1]; Car, Roberto ^[2]

Princeton Univ., NJ (United States); OSTI
Princeton Univ., NJ (United States)

We implement the Monte Carlo renormalization group approach in the continuous-time Monte Carlo simulation of a quantum system. In this work, we demonstrate numerically the emergent isotropy between space and time at large distances for the systems that exhibit Lorentz invariance at quantum criticality. Here, this allows us to estimate accurately the sound velocity for these quantum systems. $$\textit{Q}$$-state Potts models in one and two space dimensions are used to illustrate the method.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0017865

OSTI ID:: 1803178

Alternate ID(s):: OSTI ID: 1860501

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 1 Vol. 102; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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