Reformulating Pfaffian Quantum Monte Carlo with the Hybrid Monte Carlo formalism

arXiv:2609.21631 · cond-mat.str-el · Submitted 2026-09-18 · Read on arXiv

cond-mat.str-el

Submitted: 2026-09-18

Updated: 2026-09-18

Terminology

• Hybrid Monte Carlo — 13× in this paper
• Accuracy — 2× in this paper · explained in 1 episode
• Decoupling — 2× in this paper · explained in 2 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Majorana Zero Modes (MZMs) — 1× in this paper · explained in 3 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Sparsity — 1× in this paper · explained in 4 episodes

Sources

• Pfaffian quantum Monte Carlo: solution to Majorana sign ambiguity and applications
• Stable Determinant Monte Carlo Simulations at Large Inverse Temperature $\beta$
• Quantifying robustness and locality of Majorana bound states in interacting systems
• Quantum Monte Carlo Calculations for Carbon Nanotubes
• Exact Solution to Interacting Kitaev Chain at Symmetric Point
• Fully ergodic simulations using radial updates

Related papers

• Microscopic Constructions of the BF+AAB Topological Field Theory and Borromean-Rings Braiding in (3+1) Dimensions
• Transport in the emergent Bose liquid: Bad metal, strange metal, and weak insulator, all in one system
• Magnetic field induced phenomena in Kitaev spin liquids
• Electronic Structure and Dynamical Correlations in Antiferromagnetic BiFeO 3
• Dynamics and stability of U(1) spin liquids beyond mean-field theory: Triangular-lattice J 1 - J 2 Heisenberg model
• Topological Mixed States: Phases of Matter from Axiomatic Approaches