Sökning: onr:"swepub:oai:DiVA.org:kth-193328" >
Steady states and u...
Steady states and universal conductance in a quenched Luttinger model
-
- Langmann, Edwin (författare)
- KTH,Matematisk fysik
-
- Lebowitz, Joel L. (författare)
- Departments of Mathematics and Physics, Rutgers University
-
- Mastropietro, Vieri (författare)
- Dipartimento di Matematica, Università degli Studi di Milano
-
visa fler...
-
- Moosavi, Per (författare)
- KTH,Teoretisk fysik
-
visa färre...
-
(creator_code:org_t)
- 2016-05-20
- 2017
- Engelska.
-
Ingår i: Communications in Mathematical Physics. - : Springer Nature. - 0010-3616 .- 1432-0916. ; 349:2, s. 551-582
- Relaterad länk:
-
http://arxiv.org/pdf...
-
visa fler...
-
https://urn.kb.se/re...
-
https://doi.org/10.1...
-
visa färre...
Abstract
Ämnesord
Stäng
- We obtain exact analytical results for the evolution of a 1+1-dimensional Luttinger model prepared in a domain wall initial state, i.e., a state with different densities on its left and right sides. Such an initial state is modeled as the ground state of a translation invariant Luttinger Hamiltonian (Formula presented.) with short range non-local interaction and different chemical potentials to the left and right of the origin. The system evolves for time t > 0 via a Hamiltonian (Formula presented.) which differs from (Formula presented.) by the strength of the interaction. Asymptotically in time, as (Formula presented.), after taking the thermodynamic limit, the system approaches a translation invariant steady state. This final steady state carries a current I and has an effective chemical potential difference (Formula presented.) between right- (+) and left- (−) moving fermions obtained from the two-point correlation function. Both I and (Formula presented.) depend on (Formula presented.) and (Formula presented.). Only for the case (Formula presented.) does (Formula presented.) equal the difference in the initial left and right chemical potentials. Nevertheless, the Landauer conductance for the final state, (Formula presented.), has a universal value equal to the conductance quantum (Formula presented.) for the spinless case.
Ämnesord
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas