Robust orbital diamagnetism of correlated Dirac fermions in chiral Ising universality class

Abstract

We study orbital diamagnetism at zero temperature in $(2+1)$-dimensional Dirac fermions with a short-range interaction which exhibits a quantum phase transition to a charge density wave (CDW) phase. We introduce orbital magnetic fields into spinless Dirac fermions on the $\pi$-flux square lattice, and analyze them by using infinite density matrix renormalization group. It is found that the diamagnetism remains intact in the Dirac semimetal regime as a result of a non-trivial competition between the enhanced Fermi velocity and magnetic-field-induced mass gap, while it is monotonically suppressed in the CDW regime. Around the quantum critical point (QCP) of the CDW phase transition, we find a scaling behavior of the diamagnetism characteristic of the chiral Ising universality class. This defines a universal behavior of orbital diamagnetism in correlated Dirac fermions around a QCP, and therefore the robust diamagnetism in the semimetal regime is a universal property of Dirac systems whose criticality belongs to the chiral Ising universality class. The scaling behavior may also be regarded as a quantum, magnetic analogue of the critical Casimir effect which has been widely studied for classical phase transitions.

arXiv comment10 pages

References in corpus (61)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• The density-matrix renormalization group in the age of matrix product states
• The density-matrix renormalization group
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Interactions and phase transitions on graphene's honeycomb lattice
• Dimensional Reduction and Catalysis of Dynamical Symmetry Breaking by a Magnetic Field
• Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)
• Theory of interacting electrons on the honeycomb lattice
• Pinning the order: the nature of quantum criticality in the Hubbard model on honeycomb lattice
• From dia- to paramagnetic orbital susceptibility of Dirac cones
• Quantum critical scaling in graphene
• Quantum Hall effect in a bulk antiferromagnet EuMnBi${}_2$ with magnetically confined two-dimensional Dirac fermions
• Anomalous orbital magnetism in Dirac-electron systems: Role of pseudo-spin paramagnetism
• Critical Casimir effect in classical binary liquid mixtures
• Fermionic quantum criticality in honeycomb and $\pi$-flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo
• Relativistic Mott criticality in graphene
• The Casimir effect: from quantum to critical fluctuations
• Universal quantum criticality in the metal-insulator transition of two-dimensional interacting Dirac electrons
• Meissner effect in a bosonic ladder
• Transport Properties and Diamagnetism of Dirac Electrons in Bismuth
• Universal scaling functions of critical Casimir forces obtained by Monte Carlo simulations
• The phase diagram of the anisotropic spin-2 XXZ model: an infinite system DMRG study
• The role of electron-electron interactions in two-dimensional Dirac fermions
• Fermionic Quantum Critical Point of Spinless Fermions on a Honeycomb Lattice
• Anomalous Orbital Magnetism and Hall Effect of Massless Fermions in Two Dimension
• Diamagnetism in disordered graphene
• Extreme Type-II Superconductors in a Magnetic Field: A Theory of Critical Fluctuations
• Fermion-sign-free Majarana-quantum-Monte-Carlo studies of quantum critical phenomena of Dirac fermions in two dimensions
• Finite Correlation Length Scaling in Lorentz-Invariant Gapless iPEPS Wave Functions
• The Thermodynamic Casimir Effect in ${}^4$He Films near $T_{\lambda }$: Monte Carlo Results
• Spontaneous increase of magnetic flux and chiral-current reversal in bosonic ladders: Swimming against the tide
• Critical exponents of the Gross-Neveu model from the effective average action
• Finite correlation length scaling with infinite projected entangled-pair states
• Chiral Casimir Forces: Repulsive, Enhanced, Tunable
• Thermal Ising transitions in the vicinity of two-dimensional quantum critical points
• Critical behavior of Dirac fermions from perturbative renormalization
• Extreme matter in electromagnetic fields and rotation
• Quantum Monte Carlo simulation of the chiral Heisenberg Gross-Neveu-Yukawa phase transition with a single Dirac cone
• Universal Signatures of Quantum Critical Points from Finite-Size Torus Spectra: A Window into the Operator Content of Higher-Dimensional Conformal Field Theories
• Anomalous Spin Correlations and Mass-Generating Excitonic Instability of Interacting Weyl Fermions
• Spinless Fermionic ladders in a magnetic field: Phase Diagram
• Measurable lattice effects on the charge and magnetic response in graphene
• Sum Rule of the Hall Conductance in Random Quantum Phase Transition
• Many-body orbital paramagnetism in doped graphene sheets
• Thermodynamic Casimir effect: Universality and Corrections to Scaling
• Aspect-ratio dependence of thermodynamic Casimir forces
• Diamagnetism of doped two-leg ladders and probing the nature of their commensurate phases
• Diamagnetism of nodal fermions
• Chiral orbital current and anomalous magnetic moment in gapped graphene
• Giant orbital diamagnetism of three-dimensional Dirac electrons in Sr${}_3$PbO antiperovskite
• Probing the Hall Voltage in Synthetic Quantum Systems
• Torus Spectroscopy of the Gross-Neveu-Yukawa Quantum Field Theory: Free Dirac versus Chiral Ising Fixed Point
• Quantum Phase Transition in Organic Massless Dirac Fermion System $\alpha$-(BEDT-TTF)${}_2$I${}_3$ under pressure
• On the zero-field orbital magnetic susceptibility of Bloch electrons in graphene-like solids: Some rigorous results
• Equilibrium Surface Current and Role of U(1) Symmetry: sum rule and surface perturbations
• Comment on "The role of electron-electron interactions in two-dimensional Dirac fermions''
• Cyclotron resonance in Kondo insulator
• Local Observations of Orbital Diamagnetism and Excitation in Three-Dimensional Dirac Fermion Systems Bi${}_{1-x}$Sb${}_x$
• Quantum phase transition and criticality in quasi one-dimensional spinless Dirac fermions
• Response to Comment on "The role of electron-electron interactions in two-dimensional Dirac fermions"
• Orbital magnetization of interacting Dirac fermions in graphene