Charge frustration and quantum criticality for strongly correlated fermions

Abstract

We study a model of strongly correlated electrons on the square lattice which exhibits charge frustration and quantum critical behavior. The potential is tuned to make the interactions supersymmetric. We establish a rigorous mathematical result which relates quantum ground states to certain tiling configurations on the square lattice. For periodic boundary conditions this relation implies that the number of ground states grows exponentially with the linear dimensions of the system. We present substantial analytic and numerical evidence that for open boundary conditions the system has gapless edge modes.

5 pages, 4 figures, 1 table; slightly extended version of published paper

References in corpus (8)

• Band touching from real space topology in frustrated hopping models
• Exact low-temperature behavior of kagome antiferromagnet at high fields
• Lattice Models with N=2 Supersymmetry
• Exact results for strongly-correlated fermions in 2+1 dimensions
• Extensive ground state entropy in supersymmetric lattice models
• Stripes and holes in a two-dimensional model of spinless fermions and hardcore bosons
• Superfrustration of charge degrees of freedom
• Twisted Boundary Conditions and the Adiabatic Ground State for the Attractive XXZ Luttinger Liquid

Cited by in corpus (42)

• Emergent Space-time Supersymmetry at the Boundary of a Topological Phase
• Emergent Supersymmetry from Strongly Interacting Majorana Zero Modes
• Emergent space-time supersymmetry in 3D Weyl and 2D Dirac semimetals
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• A Supersymmetric SYK-like Tensor Model
• All Majorana Models with Translation Symmetry are Supersymmetric
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Edge quantum criticality and emergent supersymmetry in topological phases
• Emergent supersymmetry at the Ising-Berezinskii-Kosterlitz-Thouless multicritical point
• Supersymmetric SYK models
• A supersymmetric multicritical point in a model of lattice fermions
• Supersymmetry breaking and Nambu-Goldstone fermions with cubic dispersion
• From frustration to glassiness via quantum fluctuations and random tiling with exotic entropy
• Spin chains with dynamical lattice supersymmetry
• Exact ground states of a staggered supersymmetric model for lattice fermions
• Superfrustration of charge degrees of freedom
• Supersymmetric lattice fermions on the triangular lattice: superfrustration and criticality
• Weak-ergodicity-breaking via lattice supersymmetry
• Area law violations in a supersymmetric model
• Finite-Scale Emergence of 2+1D Supersymmetry at First-Order Quantum Phase Transition
• Detailed analysis of the continuum limit of a supersymmetric lattice model in 1D
• Supersymmetry method for interacting chaotic and disordered systems: the SYK model
• Cusps near Topological Phase Transitions: Signatures of Majorana fermions and interactions with fluctuations
• Supersymmetry in the Majorana Cooper-Pair Box
• Order and supersymmetry at high filling zero energy states on the triangular lattice
• Supersymmetry in an interacting Majorana model on the kagome lattice
• Fermionic quantum dimer and fully-packed loop models on the square lattice
• A staggered fermion chain with supersymmetry on open intervals
• On the ground states of the $M_{\ell }$ models
• Ground states of Nicolai and ${\mathbb{Z}}_2$ Nicolai models
• A Novel Perspective on Ideal Chern Bands with Strong Short-Range Repulsion: Applications to Correlated Metals, Superconductivity, and Topological Order
• Supersymmetry and multicriticality in a ladder of constrained fermions
• Absence of emergent supersymmetry at superconducting quantum critical points in Dirac and Weyl semimetals
• Supersymmetry on the honeycomb lattice: resonating charge stripes, superfrustration, and domain walls
• Hard squares on cylinders revisited
• Supersymmetry dynamics on Rydberg atom arrays
• Emergent spacetime supersymmetry in an interacting Kitaev chain with explicit supersymmetry
• Upper bounds on the Witten index for supersymmetric lattice models by discrete Morse theory
• Extremal problems related to Betti numbers of flag complexes
• Emergent spacetime supersymmetry at 2D fractionalized quantum criticality
• Supersymmetric Quantum Spherical Spins
• On supersymmetric fermion lattice systems