Fermionic renormalization group methods for transport through inhomogeneous Luttinger liquids
We compare two fermionic renormalization group methods which have been used to investigate the electronic transport properties of one-dimensional metals with two-particle interaction (Luttinger liquids) and local inhomogeneities. The first one is a poor man's method setup to resum ``leading-log...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Dokumenttyp: | Article (Journal) Kapitel/Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
2008
|
| In: |
Arxiv
|
| Online-Zugang: | Verlag, kostenfrei, Volltext: http://arxiv.org/abs/0801.3890
|
| Verfasserangaben: | V. Meden, S. Andergassen, T. Enss, H. Schoeller, and K. Schönhammer |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 156565594X | ||
| 003 | DE-627 | ||
| 005 | 20220814030740.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 171123s2008 xx |||||o 00| ||eng c | ||
| 035 | |a (DE-627)156565594X | ||
| 035 | |a (DE-576)495655945 | ||
| 035 | |a (DE-599)BSZ495655945 | ||
| 035 | |a (OCoLC)1340982583 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 29 |2 sdnb | ||
| 100 | 1 | |a Meden, Volker |d 1966- |e VerfasserIn |0 (DE-588)173076793 |0 (DE-627)698000595 |0 (DE-576)133929035 |4 aut | |
| 245 | 1 | 0 | |a Fermionic renormalization group methods for transport through inhomogeneous Luttinger liquids |c V. Meden, S. Andergassen, T. Enss, H. Schoeller, and K. Schönhammer |
| 264 | 1 | |c 2008 | |
| 300 | |a 25 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 23.11.2017 | ||
| 520 | |a We compare two fermionic renormalization group methods which have been used to investigate the electronic transport properties of one-dimensional metals with two-particle interaction (Luttinger liquids) and local inhomogeneities. The first one is a poor man's method setup to resum ``leading-log'' divergences of the effective transmission at the Fermi momentum. Generically the resulting equations can be solved analytically. The second approach is based on the functional renormalization group method and leads to a set of differential equations which can only for certain setups and in limiting cases be solved analytically, while in general it must be integrated numerically. Both methods are claimed to be applicable for inhomogeneities of arbitrary strength and to capture effects of the two-particle interaction, such as interaction dependent exponents, up to leading order. We critically review this for the simplest case of a single impurity. While on first glance the poor man's approach seems to describe the crossover from the ``perfect'' to the ``open chain fixed point'' we collect evidence that difficulties may arise close to the ``perfect chain fixed point''. Due to a subtle relation between the scaling dimensions of the two fixed points this becomes apparent only in a detailed analysis. In the functional renormalization group method the coupling of the different scattering channels is kept which leads to a better description of the underlying physics. | ||
| 650 | 4 | |a Condensed Matter - Strongly Correlated Electrons | |
| 650 | 4 | |a Condensed Matter - Mesoscale and Nanoscale Physics | |
| 700 | 1 | |a Enss, Tilman |d 1975- |e VerfasserIn |0 (DE-588)129957704 |0 (DE-627)484982087 |0 (DE-576)189109661 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Arxiv |d Ithaca, NY : Cornell University, 1991 |g (2008) Artikel-Nummer 0801.3890, 25 Seiten |h Online-Ressource |w (DE-627)509006531 |w (DE-600)2225896-6 |w (DE-576)28130436X |7 nnas |a Fermionic renormalization group methods for transport through inhomogeneous Luttinger liquids |
| 773 | 1 | 8 | |g year:2008 |g extent:25 |a Fermionic renormalization group methods for transport through inhomogeneous Luttinger liquids |
| 856 | 4 | 0 | |u http://arxiv.org/abs/0801.3890 |x Verlag |z kostenfrei |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20171123 | ||
| 993 | |a Article | ||
| 998 | |g 129957704 |a Enss, Tilman |m 129957704:Enss, Tilman |p 3 | ||
| 999 | |a KXP-PPN156565594X |e 2988000689 | ||
| BIB | |a Y | ||
| JSO | |a {"recId":"156565594X","language":["eng"],"note":["Gesehen am 23.11.2017"],"type":{"bibl":"chapter","media":"Online-Ressource"},"person":[{"roleDisplay":"VerfasserIn","display":"Meden, Volker","role":"aut","family":"Meden","given":"Volker"},{"role":"aut","display":"Enss, Tilman","roleDisplay":"VerfasserIn","given":"Tilman","family":"Enss"}],"title":[{"title":"Fermionic renormalization group methods for transport through inhomogeneous Luttinger liquids","title_sort":"Fermionic renormalization group methods for transport through inhomogeneous Luttinger liquids"}],"relHost":[{"titleAlt":[{"title":"Arxiv.org"},{"title":"Arxiv.org e-print archive"},{"title":"Arxiv e-print archive"},{"title":"De.arxiv.org"}],"part":{"text":"(2008) Artikel-Nummer 0801.3890, 25 Seiten","extent":"25","year":"2008"},"pubHistory":["1991 -"],"language":["eng"],"recId":"509006531","note":["Gesehen am 28.05.2024"],"disp":"Fermionic renormalization group methods for transport through inhomogeneous Luttinger liquidsArxiv","type":{"media":"Online-Ressource","bibl":"edited-book"},"title":[{"title":"Arxiv","title_sort":"Arxiv"}],"physDesc":[{"extent":"Online-Ressource"}],"id":{"zdb":["2225896-6"],"eki":["509006531"]},"origin":[{"publisherPlace":"Ithaca, NY ; [Erscheinungsort nicht ermittelbar]","dateIssuedDisp":"1991-","dateIssuedKey":"1991","publisher":"Cornell University ; Arxiv.org"}]}],"physDesc":[{"extent":"25 S."}],"name":{"displayForm":["V. Meden, S. Andergassen, T. Enss, H. Schoeller, and K. Schönhammer"]},"id":{"eki":["156565594X"]},"origin":[{"dateIssuedKey":"2008","dateIssuedDisp":"2008"}]} | ||
| SRT | |a MEDENVOLKEFERMIONICR2008 | ||