A Promising Method for Strongly Correlated Electrons in Two Dimensions: Gutzwiller-Guided Density Matrix Renormalization Group

Kavli Affiliate: Yi Zhou

| First 5 Authors: Hui-Ke Jin, Rong-Yang Sun, Hong-Hao Tu, Yi Zhou,

| Summary:

The study of strongly correlated electron systems remains a fundamental
challenge in condensed matter physics, particularly in two-dimensional (2D)
systems hosting various exotic phases of matter including quantum spin liquids,
unconventional superconductivity, and topological orders. Although Density
Matrix Renormalization Group (DMRG) has established itself as a pillar for
simulating one-dimensional quantum systems, its application to 2D systems has
long been hindered by the notorious “local minimum” issues. Recent
methodological breakthroughs have addressed this challenge by incorporating
Gutzwiller-projected wavefunctions as initial states for DMRG simulations. This
hybrid approach, referred to as DMRG guided by Gutzwiller-projected wave
functions (or Gutzwiller-guided DMRG), has demonstrated remarkable improvements
in accuracy, efficiency, and the ability to explore exotic quantum phases such
as topological orders. This review examines the theoretical underpinnings of
this approach, details key algorithmic developments, and showcases its
applications in recent studies of 2D quantum systems.

| Search Query: ArXiv Query: search_query=au:”Yi Zhou”&id_list=&start=0&max_results=3

Read More