Kinetic magnetism in the crossover between the square and triangular lattice Fermi-Hubbard models

• URL: http://arxiv.org/abs/2506.15669v1
• Date: Wed, 18 Jun 2025 17:50:55 GMT
• Title: Kinetic magnetism in the crossover between the square and triangular lattice Fermi-Hubbard models
• Authors: Darren Pereira, Erich J. Mueller,
• Abstract summary: We calculate the spin correlations that result from the motion of a single dopant in the hard-core Fermi-Hubbard model.<n>For the case of a hole dopant, we find a crossover from kinetic ferromagnetism to kinetic antiferromagnetism.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We calculate the spin correlations that result from the motion of a single dopant in the hard-core Fermi-Hubbard model, as the geometry evolves from a square to a triangular lattice. In particular, we consider the square lattice with an additional hopping along one diagonal, whose strength is continuously varied. We use a high-temperature expansion which expresses the partition function as a sum over closed paths taken by the dopant. We sample thousands of diagrams in the space of closed paths using the quantum Monte Carlo approach of Raghavan and Elser [1,2], which is free of finite-size effects and allows us to simulate temperatures as low as $T \sim 0.3|t|$, even in cases where there is a sign problem. For the case of a hole dopant, we find a crossover from kinetic ferromagnetism to kinetic antiferromagnetism as the geometry is tuned from square to triangular, which can be observed in current quantum gas microscopes.

Related papers

• Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation [41.94295877935867]
  We explore the finite-density phase diagram of the single-flavour Gross-Neveu-Wilson (GNW) model.<n>We find a sequence of inhomogeneous ground states that arise through a real-space version of the mechanism of Hilbert-space fragmentation.
  arXiv  Detail & Related papers  (2025-06-23T14:19:35Z)
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers [49.1574468325115]
  Bond-directional spin-spin interactions in a Fermi-Hubbard bilayer can be realized with ultracold fermions in Raman optical lattices.<n>We analyze the Fermi-liquid and Mott-insulating phases, highlighting a correspondence between Dirac and Majorana quasi-particles.<n>Our results establish that cold-atom quantum simulators based on Raman optical lattices can be a playground for extended Kitaev models.
  arXiv  Detail & Related papers  (2025-04-22T10:07:56Z)
• Measurement-induced Lévy flights of quantum information [38.68022950138448]
  We explore a model of free fermions in one dimension subject to frustrated local measurements across adjacent sites.<n>For maximal misalignment, superdiffusive behavior emerges from the vanishing of the measurement-induced quasiparticle decay rate.<n>Our findings show how intricate fractal-scaling entanglement can be produced for local Hamiltonians.
  arXiv  Detail & Related papers  (2025-01-22T14:29:13Z)
• A minimal tensor network beyond free fermions [39.847063110051245]
  This work proposes a minimal model extending the duality between classical statistical spin systems and fermionic systems.<n>A Jordan-Wigner transformation applied to a two-dimensional tensor network maps the partition sum of a classical statistical mechanics model to a Grassmann variable integral.<n>The resulting model is simple, featuring only two parameters: one governing spin-spin interaction and the other measuring the deviation from the free fermion limit.
  arXiv  Detail & Related papers  (2024-12-05T14:49:39Z)
• Emergent quantum Majorana metal from a chiral spin liquid [50.56734933757366]
  We propose a mechanism to explain the emergence of an intermediate gapless spin liquid phase in the antiferromagnetic Kitaev model.<n>We show that the Majorana spectral function captures the dynamical spin and dimer correlations obtained by the infinite Projectedangled Pair States method.
  arXiv  Detail & Related papers  (2024-05-20T18:00:01Z)
• Simulating the Transverse Field Ising Model on the Kagome Lattice using a Programmable Quantum Annealer [0.0]
  We embed the antiferromagnetic Ising model on the Kagome lattice on the latest architecture of D-Wave's quantum annealer, the Advantage2 prototype. We show that under a finite longitudinal field the system exhibits a one-third magnetization plateau, consistent with a classical spin liquid state of reduced entropy. An anneal-pause-quench protocol is then used to extract an experimental ensemble of states resulting from the equilibration of the model at finite transverse and longitudinal field.
  arXiv  Detail & Related papers  (2023-10-10T15:22:01Z)
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders [37.69303106863453]
  We consider a system of interacting spinless fermions on a two-leg triangular ladder with $pi/2$ magnetic flux per triangular plaquette. Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total fermionic charge, and a discrete $mathbbZ$ symmetry. At the intersection of the three phases, the system features a critical point with an emergent SU(2) symmetry.
  arXiv  Detail & Related papers  (2023-05-11T15:57:27Z)
• Frustration- and doping-induced magnetism in a Fermi-Hubbard simulator [0.14277663283573688]
  Geometrical frustration in strongly correlated systems can give rise to a plethora of novel ordered states and intriguing magnetic phases. We show how frustration reduces the range of magnetic correlations and drives a transition from a collinear N'eel antiferromagnet to a short-range correlated 120$circ$ spiral phase. This work paves the way towards exploring possible chiral ordered or superconducting phases in triangular lattices and realizing t-t' square lattice Hubbard models.
  arXiv  Detail & Related papers  (2022-12-28T18:01:40Z)
• Chiral superconductivity in the doped triangular-lattice Fermi-Hubbard model in two dimensions [0.0]
  We first locate the transition from the metallic to the non-magnetic insulating phase and the onset of magnetic order. Our results pave the way towards a better understanding of strongly correlated lattice systems with magnetic frustration.
  arXiv  Detail & Related papers  (2022-10-24T19:10:12Z)
• Rotating Majorana Zero Modes in a disk geometry [75.34254292381189]
  We study the manipulation of Majorana zero modes in a thin disk made from a $p$-wave superconductor. We analyze the second-order topological corner modes that arise when an in-plane magnetic field is applied. We show that oscillations persist even in the adiabatic phase because of a frequency independent coupling between zero modes and excited states.
  arXiv  Detail & Related papers  (2021-09-08T11:18:50Z)
• Phase diagram of a distorted kagome antiferromagnet and application to Y-kapellasite [50.591267188664666]
  We reveal a rich ground state phase diagram even at the classical level. The presented model opens a new direction in the study of kagome antiferromagnets.
  arXiv  Detail & Related papers  (2021-07-28T18:00:03Z)
• Design and realization of topological Dirac fermions on a triangular lattice [0.0]
  Large-gap quantum spin Hall insulators are promising materials for room-temperature applications based on Dirac fermions. Key to engineer the topologically non-trivial band ordering and sizable band gaps is strong spin-orbit interaction. Here, we conceive and realize "indenene", a triangular monolayer of indium on SiC exhibiting non-trivial valley physics driven by local spin-orbit coupling.
  arXiv  Detail & Related papers  (2021-06-30T12:46:28Z)
• Efficient matrix-product-state preparation of highly entangled trial states: Weak Mott insulators on the triangular lattice revisited [0.0]
  We show that the simplest triangular lattice $J$-$K$ spin model with four-site ring exchange likely does not harbor a fully gapless U(1) spinon Fermi surface. Our methodology paves the way to fully resolve other controversial problems in the fields of frustrated quantum magnetism and strongly correlated electrons.
  arXiv  Detail & Related papers  (2020-09-25T20:57:12Z)
• Quantum anomalous Hall phase in synthetic bilayers via twistless twistronics [58.720142291102135]
  We propose quantum simulators of "twistronic-like" physics based on ultracold atoms and syntheticdimensions. We show that our system exhibits topologicalband structures under appropriate conditions.
  arXiv  Detail & Related papers  (2020-08-06T19:58:05Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.