Quantum phase transitions in two-dimensional systems

Shangina, E. L.; Dolgopolov, V. T.

doi:10.1070/pu2003v046n08abeh001599

Cited by 16 publications

(8 citation statements)

References 89 publications

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“…A change in resistivity from insulating to metallic behavior with increase of electron density was measured in Si metal-oxide-semiconductor field effect transistor [31,32]. Similar behavior of resistivity was experimentally observed later in a variety of 2D electron systems (for review, see [33][34][35][36][37]). Observed temperature and electron density dependence of resistivity resembles the expected behavior of resistivity near a 2D metal-insulator transition and was found to be in reasonable agreement with the predictions of the two-parameter scaling theory [38][39][40].…”

Section: Introductionsupporting

confidence: 56%

Two-loop renormalization of the Finkel’stein theory: The specific heat

Burmistrov

2016

Annals of Physics

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We explore the two-loop renormalization of the specific heat for an interacting disordered electron system in the case of broken time reversal symmetry. Within the nonlinear sigma model approach we derive the two-loop result for the anomalous dimension which controls scaling of the specific heat with temperature. As an example, we elaborate the metal-insulator transition in d = 2 + ǫ dimensions for the case of broken time reversal and spin rotational symmetries and in the presence of Coulomb interaction. In this situation scaling of the specific heat is determined by the anomalous dimension of the Finkel'stein operator which is the eigen operator of the renormalization group complementary to the eigen operator corresponding to the second moment of the local density of states. We find that the absolute values of the anomalous dimensions of these operators differ beyond one-loop approximation contrary to the noninteracting case.

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Section: Introductionsupporting

confidence: 56%

Two-loop renormalization of the Finkel’stein theory: The specific heat

Burmistrov

2016

Annals of Physics

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“…On the other hand, disorder acts in the opposite direction, as it favors the repulsive part of the electron-electron interaction and the localization of the electron wave function. The competition between localization and superconductivity can result in an insulating ground state -the so-called Bose insulator, which is formed by localized Cooper pairs [2 -4].At zero temperature the transition between these two phases, the superconductor-insulator transition (SIT), is driven purely by quantum fluctuations and is one of the prime examples of a quantum phase transition [5,6]. Experimentally, the SIT can be induced by decreasing the film thickness [7,8] and close to the critical thickness also by magnetic field [9].…”

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confidence: 99%

Quantum Metallicity on the High-Field Side of the Superconductor-Insulator Transition

et al. 2007

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We investigate ultrathin superconducting TiN films, which are very close to the localization threshold. Perpendicular magnetic field drives the films from the superconducting to an insulating state, with very high resistance. Further increase of the magnetic field leads to an exponential decay of the resistance towards a finite value. In the limit of low temperatures, the saturation value can be very accurately extrapolated to the universal quantum resistance h/e2. Our analysis suggests that at high magnetic fields a new ground state, distinct from the normal metallic state occurring above the superconducting transition temperature, is formed. A comparison with other studies on different materials indicates that the quantum metallic phase following the magnetic-field-induced insulating phase is a generic property of systems close to the disorder-driven superconductor-insulator transition.

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“…Two-dimensional electron systems (2DES) are paradigms for quantum phase transitions [1]. For example, they exhibit metal-insulator, integer quantum Hall (IQH), and superconductor-insulator transitions [2], all described fairly successfully by a universal percolationtype model [3]. Some macroscopic aspects of this percolation have been verified, e.g.…”

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confidence: 99%