Pinning the Order: The Nature of Quantum Criticality in the Hubbard Model on Honeycomb Lattice

By Fakher F. Assaad, I. Herbut. 2013

214 citations recorded by the source corpus.

A new algorithm of quantum Monte Carlo simulations designed to detect very weak magnetic order allows high-resolution studies of the correlation between magnetic order and electrical insulation in Mott insulators. Specific investigations of the Hubbard model on honeycomb lattice---a paradigmatic model for Mott insulators---show that the correlation emerges through a continuous quantum phase transition belonging to a new universality class.

Subfields: Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/c3dd9606b6f69ffb3ecc1a8aae12ee7d6ad4ec79

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In Condensed Matter Physics

1. Seiji Yunoki
2. Y. Otsuka
3. S. Raghu
4. Steven A. Kivelson
5. Sandro Sorella
6. Erez Berg
7. D. Arovas

Citations in the corpus

• The Hubbard Model (2021, background): “Initial simulations suggested a quantum spin liquid state at intermediate U between the semimetal and the AF (146); however, the current consensus is that there is a direct continuous transition between the semimetal and AF phases with no intermediate phase (147, 148).”
• Universal quantum criticality in the metal-insulator transition of two-dimensional interacting Dirac electrons (2015, background): “Later studies have also confirmed the simplest scenario of a direct and continuous transition [15–18].”