<i>Introduction to Mesoscopic Physics</i>

Imry, Y.; Tinkham, M.

doi:10.1063/1.882105

Cited by 1,054 publications

(1,478 citation statements)

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“…Without interactions, the Thouless picture of localization in one dimension can be generalized to analyze the electronic couplings between "metallic regions" [20] in an inhomogeneous system (which can consist of grains or doped regions with high conductivity) in any dimension [24,25]. The intergrain coupling energy is given by /τ L = V L where τ L is the lifetime for an electron in one of the conducting regions, of linear size L, to go into the next one.…”

Section: Scales For Inhomogenous and Granular Systemsmentioning

confidence: 99%

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An inhomogeneous Josephson phase in thin-film and high-Tc superconductors

Imry

Strongin

Homes

2008

Physica C: Superconductivity

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In many cases inhomogeneities are known to exist near the metal (or superconductor)-insulator transition, as follows from well-known domain-wall arguments. If the conducting regions are large enough (i.e. when the T = 0 superconducting gap is much larger than the single-electron level spacing), and if they have superconducting correlations, it becomes energetically favorable for the system to go into a Josephson-coupled zero-resistance state before (i.e. at higher resistance than) becoming a "real" metal. We show that this is plausible by a simple comparison of the relevant coupling constants. For small grains in the above sense, the electronic grain structure is washed out by delocalization and thus becomes irrelevant. When the proposed "Josephson state" is quenched by a magnetic field, an insulating, rather then a metallic, state should appear. This has been shown [1] to be consistent with the existing data on oxide materials as well as ultra-thin films. We discuss the Uemura correlations versus the Homes law, and derive the former for the large-grain Josephson array (inhomogenous superconductor) model. The small-grain case behaves like a dirty homogenous metal. It should obey the Homes law provided that the system is in the dirty supeconductivity limit. A speculation why that is typically the case for d-wave superconductors is presented.

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Section: Scales For Inhomogenous and Granular Systemsmentioning

confidence: 99%

“…e 2 /2C L > w L ), which of course is typically crucial due to the marginal screening and the charging energy when electrons move between conducting regions. Here, to get metallic behavior, the intergrain transfer energy should overweigh the Coulomb energy [19,22] (see also [24,25]):…”

Section: Scales For Inhomogenous and Granular Systemsmentioning

confidence: 99%

An inhomogeneous Josephson phase in thin-film and high-Tc superconductors

Imry

Strongin

Homes

2008

Physica C: Superconductivity

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“…Такие мезоскопические системы, как квантовые точки, кластеры, наноконтуры находятся на границе между макроскопическим классическим миром и квантовыми явлениями [11], [12]. Таким образом, переход к классическому описанию представля-ет собой один из наиболее интригующих вопросов квантовой физики.…”

Section: к гокке г рёпкеunclassified

Основное Кинетическое Уравнение Для Приведенного Статистического Оператора Атома В Плазме

Гокке¹,

Göcke²,

Репке³

et al. 2008

ТМФ

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ОСНОВНОЕ КИНЕТИЧЕСКОЕ УРАВНЕНИЕ ДЛЯ ПРИВЕДЕННОГО СТАТИСТИЧЕСКОГО ОПЕРАТОРА АТОМА В ПЛАЗМЕС использованием неравновесного уравнения Лиувилля выведено основное кинетическое уравнение для приведенного статистического оператора в тер-мостате, представляющем многочастичное окружение. В случае слабой связи между системой и термостатом рассмотрена аппроксимация Борна-Маркова основного кинетического уравнения и произведено сравнение результатов, по-лученных в различных подходах. Основное кинетическое уравнение подробно исследовано для специального случая атома, рассматриваемого как подсистема в плазменном окружении. Найден динамический структурный фактор, опре-деляющий влияние плазмы на подсистему. Операторное основное кинетиче-ское уравнение рассмотрено в представлении атомных состояний и в представ-лении фазового пространства, что соответствует двум предельным случаям: квантово-механическому поведению, аналогичному поведению изолированного атома для низколежащих сильно связанных уровней, и квазиклассическому по-ведению для сильно возбужденных уровней Ридберга.Ключевые слова: неравновесный статистический оператор, приведенный статистиче-ский оператор, квантовое основное кинетическое уравнение, квантовое броуновское дви-жение, открытые квантовые системы, декогерентность, атомы Ридберга, сверххолодная плазма.

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“…Taking the sum over l compatible with ǫ a ( k) = ǫ and over the l ′ values of the corresponding "open" channels we define [20] …”

Section: General Relationsmentioning

confidence: 99%

“…As described in detail in [11] for end-coupled wires with 1d leads one can compute the conductance from single-particle scattering theory [19] using a generalized Landauer-Büttiker approach [20]. We therefore consider the single-particle Hamiltonian…”

Section: General Relationsmentioning

confidence: 99%

Coupling-geometry-induced temperature scales in the conductance of Luttinger liquid wires

Wächter

Meden

Schönhammer

2009

J. Phys.: Condens. Matter

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Abstract. We study electronic transport through a one-dimensional, finite-length quantum wire of correlated electrons (Luttinger liquid) coupled at arbitrary position via tunnel barriers to two semi-infinite, one-dimensional as well as stripe-like (twodimensional) leads, thereby bringing theory closer towards systems resembling setups realized in experiments. In particular, we compute the temperature dependence of the linear conductance G of a system without bulk impurities. The appearance of new temperature scales introduced by the lengths of overhanging parts of the leads and the wire implies a G(T ) which is much more complex than the power-law behavior described so far for end-coupled wires. Depending on the precise setup the wide temperature regime of power-law scaling found in the end-coupled case is broken up in up to five fairly narrow regimes interrupted by extended crossover regions. Our results can be used to optimize the experimental setups designed for a verification of Luttinger liquid power-law scaling.

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Introduction to Mesoscopic Physics

Cited by 1,054 publications

References 0 publications

An inhomogeneous Josephson phase in thin-film and high-Tc superconductors

An inhomogeneous Josephson phase in thin-film and high-Tc superconductors

Основное Кинетическое Уравнение Для Приведенного Статистического Оператора Атома В Плазме

Coupling-geometry-induced temperature scales in the conductance of Luttinger liquid wires

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