Clausius-Clapeyron relations for first-order phase transitions in bilayer quantum Hall systems

Zou, Yue; Refael, Gil; Stern, Ady; Eisenstein, J. P.

doi:10.1103/physrevb.81.205313

Cited by 9 publications

(8 citation statements)

References 70 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, in the second sample with p = 7.2 × 10 10 cm −2 no transition was observed. Stoner or RPA-like theories have been used to discuss FM transitions in quantum Hall systems (Burkov and MacDonald, 2002;Lopatnikova et al, 2004), and for the pseudospin FM realized in bilayer Quantum Hall systems there is evidence for a first-order transition (Lee et al, 2014;Schliemann et al, 2001;Zou et al, 2010).…”

Section: Magnetoelastic Effectsmentioning

confidence: 99%

“…Studies of the detailed shape, by pressure-cycling in the p -T plane, or field-cycling in the p -H plane, would be interesting. Theoretically, the shape of the coexistence curve can be determined from the Clapeyron-Clausius equation, which has been discussed for quantum Hall systems by Zou et al (2010) and for QPTs in general and FMs in particular by Kirkpatrick and Belitz (2015b).…”

Section: B Open Problemsmentioning

confidence: 99%

See 1 more Smart Citation

Metallic quantum ferromagnets

et al. 2016

View full text Add to dashboard Cite

We give an overview of quantum phase transitions (QPTs) in metallic ferromagnets, discussing both experimental and theoretical aspects. These QPTs can be classified with respect to the presence and strength of quenched disorder: Clean systems generically show a discontinuous, or first-order, QPT from a ferromagnetic to a paramagnetic state as a function of some control parameter, as predicted by theory. Disordered systems are much more complicated, depending on the disorder strength and the distance from the QPT. In many disordered materials the QPT is continuous, or second order, and Griffiths-phase effects coexist with QPT singularities near the transition. In other systems the transition from the ferromagnetic state at low temperatures is to a different type of long-range order, such as an antiferromagnetic or a spin-density-wave state. In still other materials a transition to a state with glass-like spin dynamics is suspected. The review provides a comprehensive discussion of the current understanding of these various transitions, and of the relation between experiment and theory.

show abstract

Section: Magnetoelastic Effectsmentioning

confidence: 99%

Section: B Open Problemsmentioning

confidence: 99%

Metallic quantum ferromagnets

et al. 2016

View full text Add to dashboard Cite

show abstract

“…[4][5][6] These composite fermions then move in zero effective magnetic field, forming two Fermi surfaces, one in each layer. 6 Despite a great deal of experimental [7][8][9][10][11][12][13][14] and theoretical [15][16][17][18][19][20][21][22][23][24][25][26] work devoted to studying the crossover between these two limiting cases, the nature of this crossover is still poorly understood.…”

Section: Introductionmentioning

confidence: 99%

Gauge fluctuations and interlayer coherence in bilayer composite fermion metals

Cipri

Bonesteel

2014

Phys. Rev. B

View full text Add to dashboard Cite

We study the effect of the Chern-Simons gauge fields on the possible transition from two decoupled composite fermion metals to the interlayer coherent composite fermion state proposed by Alicea et al. [Phys. Rev. Lett. 103, 256403 (2009)] in a symmetrically doped quantum Hall bilayer with total Landau level filling fraction ν tot = 1. In this transition, interlayer Coulomb repulsion leads to excitonic condensation of composite fermions which are then free to tunnel coherently between layers. We find that this coherent tunneling is strongly suppressed by the layer-dependent Aharonov-Bohm phases experienced by composite fermions as they propagate through the fluctuating gauge fields in the system. This suppression is analyzed by treating these gauge fluctuations within the random-phase approximation and calculating their contribution to the energy cost for forming an exciton condensate of composite fermions. This energy cost leads to (1) an increase in the critical interlayer repulsion needed to drive the transition; and (2) a discontinuous jump in the energy gaps to out-of-phase excitations (i.e., excitations involving currents with opposite signs in the two layers) at the transition.

show abstract

“…54 On the other hand, if the layers are closer together, the Coulomb gap decreases 51 due to interlayer correlations, 55 and finally at some critical value of d/ l B a strong and sharp peak appears in the differential conductance, 28,34 indicating the transition to an interlayer coherent state with a quantized Hall drag and small counterflow resistances. 30,31,[35][36][37][38]48 The coherent state was further characterized by determining the dispersion relation of the collective Goldstone mode 29 and the degree of spin polarization, 39,47,48 Moreover, the phase transition from an incoherent to a coherent state 26,31,33,39,41,42 was studied in some detail.…”

Section: Introductionmentioning

confidence: 99%

Quantitative description of Josephson-like tunneling inνT=1quantum Hall bilayers

Hyart

Rosenow

2011

Phys. Rev. B

View full text Add to dashboard Cite

At total filling factor ν T = 1, interlayer phase coherence in quantum Hall bilayers can result in a tunneling anomaly resembling the Josephson effect in the presence of strong fluctuations. The most robust experimental signature of this effect is a strong enhancement of the tunneling conductance at small voltages. The height and width of the conductance peak depend strongly on the area and tunneling amplitude of the samples, applied parallel magnetic field, and temperature. We find that the tunneling experiments are in quantitative agreement with a theory that treats fluctuations due to meron excitations phenomenologically and takes tunneling into account perturbatively. We also discuss the qualitative changes caused by larger tunneling amplitudes, and provide a possible explanation for recently observed critical currents in counterflow geometry.

show abstract

Clausius-Clapeyron relations for first-order phase transitions in bilayer quantum Hall systems

Cited by 9 publications

References 70 publications

Metallic quantum ferromagnets

Metallic quantum ferromagnets

Gauge fluctuations and interlayer coherence in bilayer composite fermion metals

Quantitative description of Josephson-like tunneling inνT=1quantum Hall bilayers

Contact Info

Product

Resources

About