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Борис В. Васильев Сверхтекучесть и Сверхпроводимость

Борис В. Васильев
Сверхтекучесть и Сверхпроводимость

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BCS<br />

Sn<br />

Ta Nb<br />

Ðèñ. 3.5. Òåìïåðàòóðíàÿ çàâèñèìîñòü âåëè÷èíû ùåëè<br />

â ýíåðãåòè÷åñêîì ñïåêòðå ñâåðõïðîâîäíèêîâ, ðàññ÷èòàííàÿ<br />

ïî óðàâíåíèþ (45).<br />

θ D ∝ M −1/2 , òî ðàâåíñòâî (44) ïðàâèëüíî îïèñûâàåò<br />

ýòó çàâèñèìîñòü äëÿ öåëîãî ðàäà ñâåðõïðîâîäíèêîâ.<br />

5. Òåìïåðàòóðíóþ çàâèñèìîñòü âåëè÷èíû<br />

ýíåðãåòè÷åñêîé ùåëè ∆ ñâåðõïðîâîäíèêà òåîðèÿ<br />

ÁÊØ îïèñûâàåò â íåÿâíîì âèäå èíòåãðàëîì ïî<br />

ñïåêòðó ôîíîíîâ îò 0 äî ýíåðãèè Äåáàÿ:<br />

(45) 1 = UD(E F)<br />

2<br />

∫ ωD<br />

0<br />

dξ th√ ξ 2 + ∆ 2 /2kT<br />

√<br />

ξ2 + ∆ 2 .<br />

Ðåçóëüòàò âû÷èñëåíèÿ ýòîé çàâèñèìîñòè õîðîøî<br />

ñîãëàñóåòñÿ ñ äàííûìè èçìåðåíèé (Ðèñ.(3.5)).<br />

6. Òåîðèÿ ÁÊØ ñîãëàñóåòñÿ ñ äàííûìè èçìåðåíèé<br />

âåëè÷èíû êâàíòà ìàãíèòíîãî ïîòîêà, ò.ê.<br />

åå îñíîâíîå ñîñòîÿíèå ñîñòàâëåíî èç ïàð îäíîýëåêòðîííûõ<br />

ñîñòîÿíèé.<br />

Îäíàêî íå âñå òàê õîðîøî ñ ýòîé òåîðèåé.<br />

61

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