Finite Temperature Behavior in the Second Landau Level of the Two-dimensional Electron Gas

Abstract

Reports of weak local minima in the magnetoresistance at $\nu =2+3/5$, $2+3/7$, $2+4/9$, $2+5/9$, $2+5/7$, and $2+5/8$ in the second Landau level of the electron gas in GaAs/AlGaAs left open the possibility of fractional quantum Hall states at these filling factors. In a high quality sample we found that the magnetoresistance exhibits peculiar features near these filling factors of interest. These features, however, cannot be associated with fractional quantum Hall states; instead they originate from magnetoresistive fingerprints of the electronic bubble phases. We found only two exceptions: at $\nu =2+2/7$ and $2+5/7$ there is evidence for incipient fractional quantum Hall states at intermediate temperatures. As the temperature is lowered, these fractional quantum Hall states collapse due to a phase competition with bubble phases.

References in corpus (33)

• Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
• Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels
• Charge Density Wave in Two-Dimensional Electron Liquid in Weak Magnetic Field
• Strongly Anisotropic Transport in Higher Two-Dimensional Landau Levels
• Exact Quantization of Even-Denominator Fractional Quantum Hall State at $\nu$=5/2 Landau Level Filling Factor
• Electron correlation in the second Landau level; a competition between many, nearly degenerate quantum phases
• Robust fractional quantum Hall states and continuous quantum phase transitions in a half-filled bilayer graphene Landau level
• Insulating and Fractional Quantum Hall States in the N=1 Landau Level
• Nonconventional odd denominator fractional quantum Hall states in the second Landau level
• Even denominator fractional quantum Hall state in bilayer graphene
• Experimental studies of the fractional quantum Hall effect in the first excited Landau level
• Infinite density matrix renormalization group for multicomponent quantum Hall systems
• Transition from an electron solid to the sequence of fractional quantum Hall states at very low Landau level filling factor
• Fractional Quantum Hall Effect in the Second Landau Level
• Fibonacci anyons and charge density order in the 12/5 and 13/5 plateaus
• Intrinsic Gap of the nu=5/2 Fractional Quantum Hall State
• Observation of a transition from a topologically ordered to a spontaneously broken symmetry phase
• Non-Abelian quantized Hall states of electrons at filling factors 12/5 and 13/5 in the first excited Landau level
• Evidence for the Collective Nature of the Reentrant Integer Quantum Hall States of the Second Landau Level
• The Fractional Quantum Hall States at $\nu =13/5$ and $12/5$ and their Non-Abelian Nature
• Integrated Electronic Transport and Thermometry at milliKelvin Temperatures and in Strong Magnetic Fields
• Contrasting Energy Scales of the Reentrant Integer Quantum Hall States
• Thermoelectric response of fractional quantized Hall and re-entrant insulating states in the N=1 Landau level
• Quantitative Analysis of the Disorder Broadening and the Intrinsic Gap for the $\nu =5/2$ Fractional Quantum Hall State
• Competition Between Fractional Quantum Hall Liquid, Bubble and Wigner Crystal Phases in the Third Landau Level
• The enigmatic 12/5 fractional quantum Hall effect
• Anomalous robustness of the 5/2 fractional quantum Hall state near a sharp phase boundary
• Fractional Quantum Hall Effect at High Fillings in a Two-subband Electron System
• Possible nematic to smectic phase transition in a two-dimensional electron gas at half-filling
• Increasing the ν = 5 / 2 gap energy: an analysis of MBE growth parameters
• Impact of Heterostructure Design on Transport Properties in the Second Landau Level of in-situ Back-Gated Two-Dimensional Electron Gases
• Anomalous Gap Reversal of the $3+1/3$ and $3+1/5$ Fractional Quantum Hall States
• Onset of Quantum Criticality in the Topological-to-Nematic Transition in a Two-dimensional Electron Gas at Filling Factor $\nu =5/2$

Cited by in corpus (17)

• Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
• Thirty Years of Composite Fermions and Beyond
• Fractional charge and fractional statistics in the quantum Hall effects
• Competing Fractional Quantum Hall and Electron Solid Phases in Graphene
• Fractional Quantum Hall Effect at $\nu =2+6/13$: The Parton Paradigm for the Second Landau Level
• Fractional Quantum Hall Effect at $\nu =2+4/9$
• A non-Abelian fractional quantum Hall state at $3/7$ filled Landau level
• Cooling low-dimensional electron systems into the microkelvin regime
• Working principles of doping-well structures for high-mobility two-dimensional electron systems
• Two- and three-electron bubbles in Al${}_x$Ga${}_{1-x}$As/Al${}_{0.24}$Ga${}_{0.76}$As quantum wells
• Piezo-driven sample rotation system with ultra-low electron temperature
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Stability of multielectron bubbles in high Landau levels
• Fractional Quantum Hall States of the $\mathcal{A}$ phase in the Second Landau Level
• Enigmatic 2+6/13 Filling Factor: A Prototype Intermittent Topological State
• Cascade of fractional quantum Hall states in 2D system
• Exploring Quantum Hall Physics at Ultra-Low Temperatures and at High Pressures