Vortices, Zero Modes, and Fractionalization in the Bilayer-Graphene Exciton Condensate

Seradjeh, Babak; Weber, Heidrun; Franz, Marcel

doi:10.1103/physrevlett.101.246404

Cited by 49 publications

(90 citation statements)

References 27 publications

(47 reference statements)

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“…Now, we imagine the vortex configuration of β µ which can be generated by the solenoids placed near to the exciton condensate (Fig.3). The similar experimental scheme has been considered in the papers 13,14 . Then, the standard dual transformation allows us to write ∂ µ φ − 2β µ → 0 for the vortex configuration of the exciton condensate.…”

Section: Effective Theory For Vortices and Fluctuationsmentioning

confidence: 99%

“…This term breaks U(1) symmetry and induces 'sine-Gordon' theory coupled to the vortex matter which can be ignored as t → 0 in our perspective 15 . Now that the allowed gauge couplings are identified, the fermions are integrated out to obtain the effective Experimental scheme similar to that of the paper 13 . We place magnets or solenoids at the boundary of the sample.…”

Section: Effective Theory For Vortices and Fluctuationsmentioning

confidence: 99%

“…Then, the single phase method provides u 1 ∼ u * 2 ∼ e −iθ and v 1 , v 2 independent of the angular variable θ 7,13 . With this in mind, we use the following ansatz …”

Section: Effective Theory For Vortices and Fluctuationsmentioning

confidence: 99%

See 2 more Smart Citations

Quantum phase transition and fractional excitations in a topological insulator thin film with Zeeman and excitonic masses

Cho

Moore

2011

Phys. Rev. B

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We study the zero-temperature phase diagram and fractional excitations when a thin film of 3D topological insulator has two competing masses: T -symmetric exciton condensation and T -breaking Zeeman effect. Two topologically distinct phases are identified: in one, the quasiparticles can be viewed as in a quantum spin Hall phase, and in the other a quantum anomalous Hall phase. The vortices of the exciton order parameter can carry fractional charge and statistics of electrons in both phases. When the system undergoes the quantum phase transition between these two phases, the charges, statistics and the number of fermionic zero mode of the excitonic vortices are also changed. We derive the effective field theory for vortices and external gauge field and present an explicit wave function for the fermionic zero mode localized at the excitonic vortices with or without orbital magnetic field. The quantum phase transition can be measured by optical Faraday or Kerr effect experiments, and in closing we discuss the conditions required to create the excitonic condensate.

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Section: Effective Theory For Vortices and Fluctuationsmentioning

confidence: 99%

Section: Effective Theory For Vortices and Fluctuationsmentioning

confidence: 99%

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Quantum phase transition and fractional excitations in a topological insulator thin film with Zeeman and excitonic masses

Cho

Moore

2011

Phys. Rev. B

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“…The size of the gap is then limited by the strength of interlayer tunneling in the bilayer. The excitons of this semiconductor are unusual 9,11,[24][25][26][27] because of the Berry phase properties graphene's two-dimensional Dirac model states and are in this sense similar to the excitons of a topological insulator 28 . The properties of optically excited populations of bilayer graphene excitons which have thermalized and condensed have been studied in previous 25 theoretical work.…”

Section: Introductionmentioning

confidence: 99%

Spatially indirect exciton condensate phases in double bilayer graphene

MacDonald

2017

Phys. Rev. B

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We present a theory of spatially indirect exciton condensate states in systems composed of a pair of electrically isolated Bernal graphene bilayers. The ground state phase diagram in a two-dimensional displacement-field/inter-bilayer-bias space includes layer-polarized semiconductors, spin-density-wave states, exciton condensates, and states with mixed excitonic and spin order. We find that two different condensate states, distinguished by a chirality index, are stable under different electrical control conditions.

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“…Quite recently a suggestion has been made to use graphene layers as components of bilayer systems [14][15][16][17][18]. Further investigations revealed that a serious problem in this case is screening of Coulomb interaction between the electron and the hole [19,20].…”

Section: Introductionmentioning

confidence: 99%

Superfluidity of a dilute gas of electron-hole pairs in a bilayer system

Fil

Shevchenko

2016

Low Temperature Physics

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The conditions of stability of the superfluid phase in double layer systems with pairing of spatially separated electrons and holes in the low density limit are studied. The general expression for the collective excitation spectrum is obtained. It is shown that under increase in the distance d between the layers the minimum emerges in the excitation spectrum. When d reaches the critical value the superfluid state becomes unstable relative to the formation of a kind of the Wigner crystal state. The same instability occurs at fixed d under increase in the density of carries. It is established that the critical distance and the critical density are related to each other by the inverse power function. The impact of the impurities on the temperature of the superfluid transition is investigated. The impact is found weak at the impurity concentration smaller than the density of the pairs. It is shown that in the rarefied system the critical temperature Tc ≈ 100 K can be reached.

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Vortices, Zero Modes, and Fractionalization in the Bilayer-Graphene Exciton Condensate

Cited by 49 publications

References 27 publications

Quantum phase transition and fractional excitations in a topological insulator thin film with Zeeman and excitonic masses

Quantum phase transition and fractional excitations in a topological insulator thin film with Zeeman and excitonic masses

Spatially indirect exciton condensate phases in double bilayer graphene

Superfluidity of a dilute gas of electron-hole pairs in a bilayer system

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