Scale Invariance and Universality in a Cold Gas of Indirect Excitons

Andreev, S. V.; Aa, Varlamov; Kavokin, A. V.

doi:10.1103/physrevlett.112.036401

Cited by 15 publications

(19 citation statements)

References 20 publications

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“…The MOES occurrence initiated intensive experimental [4][5][6]20] and theoretical [21][22][23][24][25][26][27][28] studies. The experiments revealed the following MOES properties.…”

Section: Introductionmentioning

confidence: 99%

Reliability of InAs/GaAs Quantum Dot Lasers Epitaxially Grown on Silicon

Liu

Herrick

Ueda

et al. 2015

IEEE J. Select. Topics Quantum Electron.

111

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At low temperatures, indirect excitons formed at the in-plane electron-hole interface in a coupled-quantum-well structure undergo a spontaneous transition into a spatially modulated state. We report on the control of the instability wavelength, measurement of the dynamics of the exciton emission pattern, and observation of the fluctuation and commensurability effect of the exciton density wave. We found that fluctuations are suppressed when the instability wavelength is commensurate with defect separation along the exciton density wave. The commensurability effect is also found in numerical simulations within the model describing the exciton density wave in terms of an instability due to stimulated processes.

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“…The MOES occurrence initiated intensive experimental [4][5][6]20] and theoretical [21][22][23][24][25][26][27][28] studies. The experiments revealed the following MOES properties.…”

Section: Introductionmentioning

confidence: 99%

Reliability of InAs/GaAs Quantum Dot Lasers Epitaxially Grown on Silicon

Liu

Herrick

Ueda

et al. 2015

IEEE J. Select. Topics Quantum Electron.

111

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“…These experimental facts have been phenomenologically taken into account in [9] by treating the aggregates as trapped Bose-Einstein condensates, the trapping along the chain being the result of electrostatic repulsion between the neighbors. The model allows one to estimate the number of condensates at the ring in equilibrium and to explicitly demonstrate the scale invariance and universality of the phenomenon [12] which are known to be the distinct features of the second-order phase transition [13].…”

mentioning

confidence: 99%

Autolocalization of a dipolar exciton gas

Андреев

2015

Phys. Rev. B

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We develop the autolocalization hypothesis suggested recently in [Andreev, Phys. Rev. Lett. 110, 146401 (2013)] to explain the formation of the macroscopically ordered exciton state (MOES) in semiconductor quantum wells [L. V. Butov et al., Nature (London) 418, 751 (2002)]. We argue that the onset of a periodical localizing potential having a macroscopic spatial period is possible in the systems where in addition to long-range dipolar repulsion the excitons exhibit resonant pairing at short distances. Our theory suggests, that the central incoherent part of each condensate in the MOES may represent a novel quantum molecular phase, which was predicted and discussed theoretically several years ago in the context of resonant Bose superfluids. PACS numbers: 71.35.LkIt is well known that there is no Bose-Einstein condensation (BEC) in 1D and 2D bosonic gases at a finite temperature, because the off-diagonal long-range order (ODLRO) is destroyed by long-wave phase fluctuations [1,2]. To observe the true second-order phase transition in a disorder-free low-dimensional system one has to introduce an external trapping potential. Localization supresses the phase fluctuations [3,4] and brings about criticality in thermodynamics by transforming the density of single-particle states (DOS) [5,6].Following these arguments, the author has recently postulated that the macroscopic ordering of excitons discovered [7] and recently duplicated [8] in high-quality semiconductor quantum wells (QW's) can be considered as a manifestation of autolocalization [9]. Below few degrees Kelvin a uniform quasi-one-dimensional (quasi-1D) gas of dipolar excitons generated in the ring-shaped trap transforms into a chain of macroscopic aggregates seen as bright spots in the exciton photoluminescense (PL) pattern. Temperature dependence of the exciton energy exhibits the typical casp at the transition point [9,21]. Each aggregate consists of a bright core surrounded by a coherent halo of weaker PL intensity. Remarkably, the coherence of the PL in the halo is extended over the length scale comparable with the size of an aggregate [11]. These experimental facts have been phenomenologically taken into account in [9] by treating the aggregates as trapped Bose-Einstein condensates, the trapping along the chain being the result of electrostatic repulsion between the neighbors. The model allows one to estimate the number of condensates at the ring in equilibrium and to explicitly demonstrate the scale invariance and universality of the phenomenon [12] which are known to be the distinct features of the second-order phase transition [13].Until now, however, microscopic origin of the autolocalization has not been understood. In particular, it has been unclear why the dramatic phenomena observed by Butov group [7,11] do not take place in the experimental configuration employed by Snoke [14] which corresponds essentially to the same set of parameters.In this Letter we describe the onset of the autolocalizing potential along the ring by considering quantum scatt...

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“…Moreover, we note that Fig. 3(b) indicates strongly that thermodynamic equilibrium is reached across the lattice potential since density fluctuations do not depend on V 0 [31].…”

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confidence: 70%

“…The loss of coherence in a periodic potential is usually discussed in terms of arrays of condensates in single lattice sites connected by a Josephson coupling describing quantum tunneling [31][32][33][34][35]. The latter decreases exponentially with the difference between the barrier height and the chemical potential [36].…”

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confidence: 99%

Quasicondensation of Bilayer Excitons in a Periodic Potential

et al. 2021

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We study two-dimensional excitons confined in a lattice potential, for high fillings of the lattice sites. We show that a quasicondensate is possibly formed for small values of the lattice depth, but for larger ones the critical phase-space density for quasicondensation rapidly exceeds our experimental reach, due to an increase of the exciton effective mass. On the other hand, in the regime of a deep lattice potential where excitons are strongly localized at the lattice sites, we show that an array of phase-independent quasicondensates, different from a Mott insulator, is realized.

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Scale Invariance and Universality in a Cold Gas of Indirect Excitons

Cited by 15 publications

References 20 publications

Reliability of InAs/GaAs Quantum Dot Lasers Epitaxially Grown on Silicon

Reliability of InAs/GaAs Quantum Dot Lasers Epitaxially Grown on Silicon

Autolocalization of a dipolar exciton gas

Quasicondensation of Bilayer Excitons in a Periodic Potential

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