Biexciton Condensation in Electron-hole Doped Hubbard Bilayers -- A Sign-Problem-Free Quantum Monte Carlo Study
arXiv:1809.06439 · doi:10.1103/PhysRevLett.124.077601
Abstract
The bilayer Hubbard model with electron-hole doping is an ideal platform to study excitonic orders due to suppressed recombination via spatial separation of electrons and holes. However, suffering from the sign problem, previous quantum Monte Carlo studies could not arrive at an unequivocal conclusion regarding the presence of phases with clear signatures of excitonic condensation in bilayer Hubbard models. Here, we develop a determinant quantum Monte Carlo (DQMC) algorithm for the bilayer Hubbard model that is sign-problem-free for equal and opposite doping in the two layers, and study excitonic order and charge and spin density modulations as a function of chemical potential difference between the two layers, on-site Coulomb repulsion, and inter-layer interaction. In the intermediate coupling regime and in proximity to the SU(4)-symmetric point, we find a biexcitonic condensate phase at finite electron-hole doping, as well as a competing charge density wave (CDW) state. We extract the Berezinskii-Kosterlitz-Thouless (BKT) transition temperature from superfluid density and a finite size scaling analysis of the correlation functions, and explain our results in terms of an effective biexcitonic hardcore boson model.
arXiv comment6 pages, 4 figures
References in corpus (35)
- Bose-Einstein Condensation of Excitons in Bilayer Electron Systems
- Signatures of exciton condensation in a transition metal dichalcogenide
- Excitonic superfluid phase in Double Bilayer Graphene
- Phase separation in supersolids
- A sufficient condition for the absence of the sign problem in the fermionic quantum Monte-Carlo algorithm
- Meron-Cluster Solution of Fermion Sign Problems
- Analysis of the exciton-exciton interaction in semiconductor quantum wells
- Solving fermion sign problem in quantum Monte Carlo by Majorana representation
- Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals
- Excitonic condensation in a symmetric electron-hole bilayer
- Finite-Temperature Phase Diagram of Hard-Core Bosons in Two Dimensions
- Coherent Order Parameter Oscillations in the Ground State of the Excitonic Insulator Ta2NiSe5
- Excitonic condensation in systems of strongly correlated electrons
- Quantum Entanglement of Interacting Fermions in Monte Carlo
- Majorana Positivity and the Fermion sign problem of Quantum Monte Carlo Simulations
- Critical temperature for the two-dimensional attractive Hubbard Model
- Determinant quantum Monte Carlo study of the two-dimensional single-band Hubbard-Holstein model
- Path-Integral Renormalization Group Method for Numerical Study of Strongly Correlated Electron Systems
- Excitons and biexcitons in symmetric electron-hole bilayers
- Non-Fermi-liquid at (2+1)d ferromagnetic quantum critical point
- Magnetization process of the spin-1/2 XXZ models on square and cubic lattices
- Exciton-exciton interaction and biexciton formation in bilayer systems
- Magnetic and Transport Properties of a Coupled Hubbard Bilayer with Electron and Hole Doping
- Exact-diagonalization study of exciton condensation in electron bilayers
- Effect of symmetry breaking perturbations in the one-dimensional SU(4) spin-orbital model
- Charge-4e superconductors: a Majorana quantum Monte Carlo study
- Dynamical Symmetry Enlargement Versus Spin-Charge Decoupling in the One-Dimensional SU(4) Hubbard Model
- Phase diagram of exciton condensate in doped two-band Hubbard model
- Determinant quantum Monte Carlo study of exciton condensation in the bilayer Hubbard model
- Correlations in the low-temperature phase of the two-dimensional XY model
- Superfluidity and Density Order in a Bilayer Extended Hubbard Model
- Exciton condensation in strongly correlated electron bilayers
- Excitonic density-waves, bi-excitons and orbital selective pairing in two-orbital correlated chains
- Excitonic Order and Superconductivity in the Two-Orbital Hubbard Model: Variational Cluster Approach
- Exciton formation in strongly correlated electron-hole systems near the semimetal-semiconductor transition
Cited by in corpus (6)
- Cooper Triples in Attractive Three-Component Fermions: Implication for Hadron-Quark Crossover
- Cooper quartet correlations in infinite symmetric nuclear matter
- Biexciton-like quartet condensates in an electron-hole liquid
- Sign-Free Determinant Quantum Monte Carlo Study of Excitonic Density Orders in a Two-Orbital Hubbard-Kanamori Model
- Mott-Enhanced Exciton Condensation in a Hubbard bilayer
- Inversion symmetry breaking in bilayer multi-orbital Hubbard model with impurity approximation