Dissipation without resistance: Imaging impurities at quantum Hall edges

Abstract

Motivated by the recent experiment by Marguerite et al. [1] on imaging in graphene samples, we investigate theoretically the dissipation induced by resonant impurities in the quantum Hall regime. The impurity induced forward scattering of electrons at quantum Hall edges leads to an enhanced phonon emission, which reaches its maximum when the impurity state is tuned to resonance by a scanning tip voltage. Our analysis of the effect of the tip potential on the dissipation reveals peculiar thermal rings around the impurities, in consistency with experimental observations. Remarkably, this impurity-induced dissipation reveals non-trivial features that are unique for chiral 1D systems such as quantum Hall edges. First, the dissipation is not accompanied by the generation of resistance. Second, this type of dissipation is highly nonlocal: a single impurity induces heat transfer to phonons along the whole edge.

arXiv comment10 pages, 3 figures

References in corpus (21)

• Quantum Spin Hall Effect in Graphene
• New directions in the pursuit of Majorana fermions in solid state systems
• Scanning nano-SQUID with single electron spin sensitivity
• Universal topological quantum computation from a superconductor/Abelian quantum Hall heterostructure
• Exact Conductance through Point Contacts in the $\nu =1/3$ Fractional Quantum Hall Effect
• Disorder-Assisted Electron-Phonon Scattering and Cooling Pathways in Graphene
• Topological phases with parafermions: theory and blueprints
• Fractionalizing Majorana fermions: non-abelian statistics on the edges of abelian quantum Hall states
• Superconducting Proximity Effect on the Edge of Fractional Topological Insulators
• Nanoscale thermal imaging of dissipation in quantum systems
• Charge accumulation at the boundaries of a graphene strip induced by a gate voltage: Electrostatic approach
• Imaging resonant dissipation from individual atomic defects in graphene
• Imaging work and dissipation in the quantum Hall state in graphene
• Exotic circuit elements from zero-modes in hybrid superconductor/quantum Hall systems
• Majorana Zero Modes in Graphene
• Contacts and Edge State Equilibration in the Fractional Quantum Hall Effect
• Topological phases in gapped edges of fractionalized systems
• Resonant electron-lattice cooling in graphene
• Resonant supercollisions and electron-phonon heat transfer in graphene
• Asymmetry of non-local dissipation: From drift-diffusion to hydrodynamics
• Cooling of chiral heat transport in the quantum Hall effect graphene

Cited by in corpus (5)

• Thermal dissipation in the quantum Hall regime in graphene
• Emergent Energy Dissipation in Quantum Limit
• Dissipation and dephasing in quantum Hall interferometers
• Going beyond Landauer scattering theory to describe spatially-resolved non-local heating and cooling in quantum thermoelectrics
• Thermal dissipation of the quantum spin Hall edge states in HgTe/CdTe quantum well