Work

Dynamic mass generation on two-dimensional electronic hyperbolic lattices

Year: 2025

Type: article

Abstract: The authors show here that two-dimensional hyperbolic lattices can be classified as Dirac liquids, Fermi liquids, and flat bands, respectively, featuring vanishing, constant, and diverging density of states near half-filling. On such curved quantum crystals, on-site Hubbard and nearest-neighbor Coulomb repulsion stabilize antiferromagnetic and charge density wave ground states, respectively. The requisite critical couplings for these orderings decrease with the increasing curvature in hyperbolic Dirac fluids, suggesting a curvature-induced weak-coupling quantum phase transitions therein. By contrast, these two orderings develop even for infinitesimal interactions in Fermi liquids and flat-band systems.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.111.l121108

Authors: Noble Gluscevich, Abhisek Samanta, Sourav Manna, Bitan Roy

Institutions: Lehigh University, Indian Institute of Technology Gandhinagar, The Ohio State University, Tel Aviv University, Weizmann Institute of Science

Language: English

Topic: Physics of Superconductivity and Magnetism

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green