Proximity effect between a dirty Fermi liquid and superfluid 3He TeX Export

@article{citeulike:3889961, abstract = {The proximity effect in superfluid \$^3\$He partly filled with high porosity aerogel is discussed. This system can be regarded as a dirty Fermi liquid/spin-triplet p-wave superfluid junction. Our attention is mainly paid to the case when the dirty layer is in the normal state owing to the impurity pair-breaking effect by the aerogel. We use the quasiclassical Green's function to determine self-consistently the spatial variations of the p-wave order parameter and the impurity self-energy. On the basis of the fully self-consistent calculation, we analyze the spatial dependence of the pair function (anomalous Green's function). The spin-triplet pair function has in general even-frequency odd-parity and odd-frequency even-parity components. We show that the admixture of the even- and odd-frequency pairs occurs near the aerogel/superfluid \$^3\$He-B interface. Among those Cooper pairs, only the odd-frequency s-wave pair can penetrate deep into the aerogel layer. As a result, the proximity-induced superfluidity in a thick aerogel layer is dominated by the Cooper pair with the odd-frequency s-wave symmetry. We also analyze the local density of states and show that it has a characteristic zero-energy peak reflecting the existence of the odd-frequency s-wave pair, in agreement with previous works using the Usadel equation.}, archivePrefix = {arXiv}, author = {Higashitani, S. and Nagato, Y. and Nagai, K.}, citeulike-article-id = {3889961}, citeulike-linkout-0 = {http://arxiv.org/abs/0901.1755}, citeulike-linkout-1 = {http://arxiv.org/pdf/0901.1755}, day = {13}, eprint = {0901.1755}, keywords = {bec, topology}, month = {Jan}, posted-at = {2009-01-16 00:23:22}, priority = {2}, title = {Proximity effect between a dirty Fermi liquid and superfluid 3He}, url = {http://arxiv.org/abs/0901.1755}, year = {2009} }

TY - JOUR ID - citeulike:3889961 L3 - citeulike-article-id:3889961 N2 - The proximity effect in superfluid $^3$He partly filled with high porosity aerogel is discussed. This system can be regarded as a dirty Fermi liquid/spin-triplet p-wave superfluid junction. Our attention is mainly paid to the case when the dirty layer is in the normal state owing to the impurity pair-breaking effect by the aerogel. We use the quasiclassical Green's function to determine self-consistently the spatial variations of the p-wave order parameter and the impurity self-energy. On the basis of the fully self-consistent calculation, we analyze the spatial dependence of the pair function (anomalous Green's function). The spin-triplet pair function has in general even-frequency odd-parity and odd-frequency even-parity components. We show that the admixture of the even- and odd-frequency pairs occurs near the aerogel/superfluid $^3$He-B interface. Among those Cooper pairs, only the odd-frequency s-wave pair can penetrate deep into the aerogel layer. As a result, the proximity-induced superfluidity in a thick aerogel layer is dominated by the Cooper pair with the odd-frequency s-wave symmetry. We also analyze the local density of states and show that it has a characteristic zero-energy peak reflecting the existence of the odd-frequency s-wave pair, in agreement with previous works using the Usadel equation. TI - Proximity effect between a dirty Fermi liquid and superfluid 3He KW - bec KW - topology AU - Higashitani, S AU - Nagato, Y AU - Nagai, K PY - 2009/Jan/13/ UR - http://arxiv.org/abs/0901.1755 ER -