Thermo-electric effects in a Luttinger liquid

• Published in: Физика низких температур
• Date: 2001
• Main Authors: Krive, I.V., Romanovsky, I.A., Bogachek, E.N., Scherbakov, A.G., Landman, Uzi
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2001
• Subjects: Статьи, посвященные столетию со дня рождения Л. В. Шубникова
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/129012
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Thermo-electric effects in a Luttinger liquid / I.V. Krive, I.A. 
 
 Romanovsky, E.N. Bogachek, A.G. Scherbakov, Uzi Landman // Физика низких температур. — 
 
 2001. — Т. 27, № 9-10. — С. 1110-1122. — Бібліогр.: 30 назв. — англ.

Thermoelectric effects in a Luttinger liquid (LL) wire 
 
 adiabatically connected to the leads of noninteracting electrons are considered. For a 
 
 multichannel LL a staircase-like behavior of the thermal conductance as a function of 
 
 chemical potential is found. A thermopower for a LL wire with an impurity is evaluated for 
 
 two cases: (i) LL constriction and (ii) infinite LL wire. We show that the thermopower is 
 
 described a Mott-like formula renormalized by an interaction-dependent factor. For an 
 
 infinite LL the renormalization factor decreases with increase of the interaction. However, 
 
 for a realistic situation, when a LL wire is connected to the leads of noninteracting 
 
 electrons (LL constriction), the repulsive electron-electron interaction enhances the 
 
 thermopower. A nonlinear Peltier effect in a LL is briefly discussed.