SU(4) spin waves in the $\nu =\pm 1$ quantum Hall ferromagnet in graphene

Abstract

We study generalized spin waves in graphene under a strong magnetic field when the Landau-level filling factor is $\nu =\pm 1$. In this case, the ground state is a particular SU(4) quantum Hall ferromagnet, in which not only the physical spin is fully polarized but also the pseudo-spin associated with the valley degree of freedom. The nature of the ground state and the spin-valley polarization depend on explicit symmetry breaking terms that are also reflected in the generalised spin-wave spectrum. In addition to pure spin waves, one encounters valley-pseudo-spin waves as well as more exotic entanglement waves that have a mixed spin-valley character. Most saliently, the SU(4) symmetry-breaking terms do not only yield gaps in the spectra, but under certain circumstances, namely in the case of residual ground-state symmetries, render the originally quadratic (in the wave vector) spin-wave dispersion linear.

References in corpus (50)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Van der Waals heterostructures
• Massive Dirac fermions and Hofstadter butterfly in a van der Waals heterostructure
• Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
• Electronic Properties of Graphene in a Strong Magnetic Field
• Bose-Einstein Condensation of Excitons in Bilayer Electron Systems
• Quantum Hall Ferromagnetism in Graphene
• Spontaneous Inter-layer Coherence in Double-Layer Quantum-Hall Systems I: Charged Vortices and Kosterlitz-Thouless Phase Transitions
• Spin Filtered Edge States and Quantum Hall Effect in Graphene
• Spin and valley quantum Hall ferromagnetism in graphene
• Tunable symmetry breaking and helical edge transport in a graphene quantum spin Hall state
• Graphene integer quantum Hall effect in the ferromagnetic and paramagnetic regimes
• Generation of coherent spin-wave modes in Yttrium Iron Garnet microdiscs by spin-orbit torque
• Electron interactions in graphene in a strong magnetic field
• Observation of a Linearly Dispersing Collective Mode in a Quantum Hall Ferromagnet
• Collective Modes and Skyrmion Excitations in Graphene SU(4) Quantum Hall Ferromagnets
• Phase diagram for the $\nu =0$ quantum Hall state in monolayer graphene
• Electronic control of the spin-wave damping in a magnetic insulator
• Counting rule for Nambu-Goldstone modes in nonrelativistic systems
• Theory of integer quantum Hall effect in graphene
• On the number of Nambu-Goldstone bosons and its relation to charge densities
• Insulating behavior at the neutrality point in dual-gated, single-layer graphene
• Introduction to Dirac materials and topological insulators
• Field-induced Kosterlitz-Thouless transition in the N=0 Landau level of graphene
• Long-Distance Spin Transport Through a Graphene Quantum Hall Antiferromagnet
• Helical quantum Hall phase in graphene on SrTiO${}_3$
• SO(3) symmetry between Neel and ferromagnetic order parameters for graphene in a magnetic field
• Spin transport in a magnetic insulator with zero effective damping
• Electrical generation and detection of spin waves in a quantum Hall ferromagnet
• STM Study of Quantum Hall Isospin Ferromagnetic States of Zero Landau Level in Graphene Monolayer
• Odd-Integer Quantum Hall Effect in Graphene: Interaction and Disorder Effects
• Skyrmion solids in monolayer graphene
• SU(N) Quantum Hall Skyrmions
• Control of Propagating Spin Waves via Spin Transfer Torque in a Metallic Bilayer Waveguide
• SO(5) symmetry in the quantum Hall effect in graphene
• Spin Bose Glass Phase in Bilayer Quantum Hall Systems at $\nu =2$
• Interaction-induced anomalous quantum Hall state on the honeycomb lattice
• Spin Superfluidity in the $\nu =0$ Quantum Hall State of Graphene
• NMR Evidence for Spin Canting in a Bilayer nu = 2 Quantum Hall System
• Quantum Hall ferromagnetic phases in the Landau level N=0 of a graphene bilayer
• Entanglement Skyrmions in multicomponent quantum Hall systems
• Bulk valley transport and Berry curvature spreading at the edge of flat bands
• Spin-valley skyrmions in graphene at filling factor $\nu =-1$
• Skyrmion zoo in graphene at charge neutrality in a strong magnetic field
• Quantum transport properties of two-dimensional electron gases under high magnetic fields
• Quantum Hall ferromagnetism in graphene: a SU(4) bosonization approach
• Scattering of magnons at graphene quantum-Hall-magnet junctions
• Symmetry characterization of the collective modes of the phase diagram of the $\nu =0$ quantum Hall state in graphene: Mean-field and spontaneously broken symmetries
• Spin mapping, phase diagram, and collective modes in double layer quantum Hall systems at $\nu =2$
• The Study of Goldstone Modes in $\nu$=2 Bilayer Quantum Hall Systems

Cited by in corpus (12)

• Thermodynamics of free and bound magnons in graphene
• Global phase diagram of charge neutral graphene in the quantum Hall regime for generic interactions
• Theory of broken symmetry quantum Hall states in the $N=1$ Landau level of Graphene
• Absence of heat flow in ν = 0 quantum Hall ferromagnet in bilayer graphene
• Phase diagram of the $\nu =2$ quantum Hall state in bilayer graphene
• Vanishing bulk heat flow in the nu=0 quantum Hall ferromagnet in monolayer graphene
• Fractional quantum Hall coexistence phases in higher Landau levels of graphene
• Magnetic and Lattice Ordered Fractional Quantum Hall Phases in Graphene
• Magnon transmission across $\nu =1|-1|1$ mono-layer graphene junction as a probe of electronic structure
• Anomalous Transport Gaps of Fractional Quantum Hall Phases in Graphene Landau Levels are Induced by Spin-Valley Entangled Ground States
• Magnon scattering and transduction in Coulomb-coupled quantum Hall ferromagnets
• Uniquely identifying quantum Hall phases in charge neutral graphene