### Abstract

We consider a superlattice of parallel metal tunnel junctions with a spatially nonhomogeneous probability for electrons to tunnel. In such structures tunneling can be accompanied by electron scattering that conserves energy but not momentum. In the special case of a tunneling probability that varies periodically with period a in the longitudinal direction, i.e., perpendicular to the junctions, electron tunneling is accompanied by umklapp scattering, where the longitudinal momentum changes by a multiple of h/a. We predict that as a result a sequence of metal-insulator transitions can be induced by an external electric or magnetic field as the field strength is increased.

Original language | English |
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Article number | 184202 |

Number of pages | 6 |

Journal | Physical Review B: Condensed Matter and Materials Physics |

Volume | 85 |

Issue number | 18 |

DOIs | |

Publication status | Published - 3 May 2012 |

### Cite this

*Physical Review B: Condensed Matter and Materials Physics*,

*85*(18), [184202]. https://doi.org/10.1103/PhysRevB.85.184202

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*Physical Review B: Condensed Matter and Materials Physics*, vol. 85, no. 18, 184202. https://doi.org/10.1103/PhysRevB.85.184202

**Umklapp-assisted electron transport oscillations in metal superlattices.** / Kulinich, S. I.; Gorelik, L. Y.; Gredeskul, S. A.; Shekhter, R. I.; Jonson, M.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Umklapp-assisted electron transport oscillations in metal superlattices

AU - Kulinich, S. I.

AU - Gorelik, L. Y.

AU - Gredeskul, S. A.

AU - Shekhter, R. I.

AU - Jonson, M.

PY - 2012/5/3

Y1 - 2012/5/3

N2 - We consider a superlattice of parallel metal tunnel junctions with a spatially nonhomogeneous probability for electrons to tunnel. In such structures tunneling can be accompanied by electron scattering that conserves energy but not momentum. In the special case of a tunneling probability that varies periodically with period a in the longitudinal direction, i.e., perpendicular to the junctions, electron tunneling is accompanied by umklapp scattering, where the longitudinal momentum changes by a multiple of h/a. We predict that as a result a sequence of metal-insulator transitions can be induced by an external electric or magnetic field as the field strength is increased.

AB - We consider a superlattice of parallel metal tunnel junctions with a spatially nonhomogeneous probability for electrons to tunnel. In such structures tunneling can be accompanied by electron scattering that conserves energy but not momentum. In the special case of a tunneling probability that varies periodically with period a in the longitudinal direction, i.e., perpendicular to the junctions, electron tunneling is accompanied by umklapp scattering, where the longitudinal momentum changes by a multiple of h/a. We predict that as a result a sequence of metal-insulator transitions can be induced by an external electric or magnetic field as the field strength is increased.

U2 - 10.1103/PhysRevB.85.184202

DO - 10.1103/PhysRevB.85.184202

M3 - Article

VL - 85

JO - Physical Review B: Condensed Matter and Materials Physics

JF - Physical Review B: Condensed Matter and Materials Physics

SN - 1098-0121

IS - 18

M1 - 184202

ER -