The Mass Action Law in Two‐Component Fermi Systems Revisited Excitons and Electron‐Hole Pairs

Zimmermann, R.; Stolz, H.

doi:10.1002/pssb.2221310115

Cited by 100 publications

(104 citation statements)

References 17 publications

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“…The generalization of the Beth-Uhlenbeck EoS to higher densities has been developed in Refs. [20,21]. Out of different aspects of this generalized Beth-Uhlenbeck approach it was in particular the modifications of the phase shifts due to a lowering of the continuum threshold for scattering states which entails the Mott dissociation of bound states that was interesting for the application to mesonic correlations in quark matter within the NJL model [22].…”

Section: Mesons and Diquarks In Pnjl Quark Mattermentioning

confidence: 99%

“…To this end we shall consider here the scalar diquark channel as a color an- * Electronic address: blaschke@ift.uni.wroc.pl † Electronic address: aleksandr.dubinin@ift.uni.wroc.pl ‡ Electronic address: michael.buballa@physik.tu-darmstadt.de titriplet state and describe it in the framework of a generalized Beth-Uhlenbeck approach. Such a treatment was developed for describing excitonic correlations in semiconductor plasmas [20] and two-nucleon correlations in nuclear matter [21] before being adapted to the case of mesons in quark matter [22] and extended recently to the general case of two-quark correlations in quark matter [23]. This approach allows for a microscopic description of the occurrence of bound states in the equation of state of a nonideal plasma and their dissociation at high phase space densities due to the Mott effect.…”

Section: Introductionmentioning

confidence: 99%

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Polyakov-loop suppression of colored states in a quark-meson-diquark plasma

2015

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A quark-meson-diquark plasma is considered within the PNJL model for dynamical chiral symmetry breaking and restoration in quark matter. Based on a generalized Beth-Uhlenbeck approach to mesons and diquarks we present the thermodynamics of this system including the Mott dissociation of mesons and diquarks at finite temperature. A striking result is the suppression of the diquark abundance below the chiral restoration temperature by the coupling to the Polyakov loop, because of their color degree of freedom. This is understood in close analogy to the suppression of quark distributions by the same mechanism. Mesons as color singlets are unaffected by the Polyakov-loop suppression. At temperatures above the chiral restoration mesons and diquarks are both suppressed due to the Mott effect, whereby the positive resonance contribution to the pressure is largely compensated by the negative scattering contribution in accordance with the Levinson theorem.

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Section: Mesons and Diquarks In Pnjl Quark Mattermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Polyakov-loop suppression of colored states in a quark-meson-diquark plasma

2015

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“…In this context also the transition from BCS to BE condensation was discussed 4,[13][14][15] . Surprisingly enough, the quantitative semimetal-EI-semiconductor phase diagram has been determined only quite recently [15][16][17] .…”

Section: Introductionmentioning

confidence: 99%

Existence of excitonic insulator phase in the extended Falicov-Kimball model: SO(2)-invariant slave-boson approach

et al. 2010

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We re-examine the three-dimensional spinless Falicov-Kimball model with dispersive f electrons at half-filling, addressing the dispute about the formation of an excitonic condensate, which is closely related to the problem of electronic ferroelectricity. To this end, we work out a slave-boson functional integral representation of the suchlike extended Falicov-Kimball model that preserves the SO(2) ⊗ U (1) ⊗2 invariance of the action. We find a spontaneous pairing of c electrons with f holes, building an excitonic insulator state at low temperatures, also for the case of initially nondegenerate orbitals. This is in contrast to recent predictions of scalar slave-boson mean-field theory but corroborates previous Hartree-Fock and RPA results. Our more precise treatment of correlation effects, however, leads to a substantial reduction of the critical temperature. The different behavior of the partial densities of states in the weak and strong inter-orbital Coulomb interaction regimes supports a BCS-BEC transition scenario.

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“…To this end we use many-body theory for a system of interacting quasi-particles within the ladder approximation. Starting with the self-energy in the quasi-particle ladder approximation, which is based on the electron-electron (e-e) and e-h statically screened pair-interaction series, after of a lengthy derivation [15] similar to that of Zimmermann and Stolz for the 3D case [16], we obtain an expression for the electron density in the following form: n e = n 0 e (ξ e ) + n ee (ξ e ) + n eh (ξ e + ξ h ),where n 0 e = m e /(βπ 2 ) ln(1 + exp(βξ e )) is the density of free quasi-particles, and n ee (n eh ) originates from the e-e …”

mentioning

confidence: 99%

“…is solved using the factorized-potential approximation [15,16]. Here, ǫ e(h) are the electron (hole) quasi-particle energies and f e(h) (ǫ) = [exp(β(ǫ − ξ e(h) )) + 1] −1 are Fermi distribution functions.…”

mentioning

confidence: 99%

Theory of excitonic Mott transition in double quantum wells

Nikolaev

Portnoi

2004

phys. stat. sol. (c)

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We consider an electron-hole system in double quantum wells theoretically. We demonstrate that there is a temperature interval over which an abrupt jump in the value of the ionization degree occurs with an increase of the carrier density or temperature. The opposite effect -the collapse of the ionized electron-hole plasma into an insulating exciton system -should occur at lower densities. In addition, we predict that under certain conditions there will be a sharp decrease of the ionization degree with increasing temperature -the anomalous Mott transition. We discuss how these effects could be observed experimentally.PACS numbers: 71.35.Ee, 73.21.Fg It was suggested by Mott [1] that an increase of the temperature or density of an insulating system of excitons may lead to avalanche ionization as a result of screening and k-space filling. Despite significant efforts [2,3,4,5,6], there is still no firm theoretical understanding of this effect, and the existence of the transition is disputed.In bulk indirect-bandgap semiconductors, experimental observation of the Mott transition is prevented by the formation of electron-hole liquid (EHL) droplets [7]. The absence of low-temperature phase transitions in direct semiconductors and single quantum wells is believed to be caused by fast radiative recombination, which does not allow enough time for the photo-generated electron-hole plasma (EHP) to cool down.In recent years there has been increased attention towards double quantum wells (DQWs) -heterostructures containing two quantum wells (QWs) situated close enough so that the Coulomb correlations between particles in different QWs are significant. Electrons and holes from adjacent QWs form spatially indirect excitons (IXs) with very long lifetimes, due to the small electron-hole (e-h) wavefunction overlap. The experimentally confirmed long life-time and stability of the DQW indirect exciton [8,9,10,11,12] suggests that the formation of a medium-density cold exciton gas is possible. Under certain conditions this gas may undergo a Mott transition.Another property beneficial for observation of the Mott transition in a DQW is that the spatially separated EHP posses substantial electrostatic energy (Hartree term in the self-energy). This leads to the fact that for large enough separation of quantum wells there is no minimum in the dependence of the ground-state energy on the density, and thus the formation of e-h droplets is not possible [5,13].The purpose of this Letter is to investigate the possibility of a Mott transition in DQW systems and to encourage further experimental research.The main theoretical difficulty in investigation of the Mott transition is that it is inherently a medium-density effect, for which low-density and high-density approximations do not work. The correct approach would require careful handling of the Coulomb interaction depending on the thermodynamic state of the system, which implies a self-consistent procedure.Before studying the Mott transition, which is essentially a jump in the ionization...

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The Mass Action Law in Two‐Component Fermi Systems Revisited Excitons and Electron‐Hole Pairs

Cited by 100 publications

References 17 publications

Polyakov-loop suppression of colored states in a quark-meson-diquark plasma

Polyakov-loop suppression of colored states in a quark-meson-diquark plasma

Existence of excitonic insulator phase in the extended Falicov-Kimball model: SO(2)-invariant slave-boson approach

Theory of excitonic Mott transition in double quantum wells

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