Many-body localization in infinite chains
We investigate the phase transition between an ergodic and a many-body localized phase in infinite anisotropic spin-$1/2$ Heisenberg chains with binary disorder. Starting from the N\'eel state, we analyze the decay of antiferromagnetic order $m_s(t)$ and the growth of entanglement entropy $S_{\...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Dokumenttyp: | Article (Journal) Kapitel/Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
2017
|
| In: |
Arxiv
|
| Online-Zugang: | Verlag, kostenfrei, Volltext: http://arxiv.org/abs/1608.05733
|
| Verfasserangaben: | T. Enss, F. Andraschko, and J. Sirker |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1565642708 | ||
| 003 | DE-627 | ||
| 005 | 20220814030405.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 171123s2017 xx |||||o 00| ||eng c | ||
| 035 | |a (DE-627)1565642708 | ||
| 035 | |a (DE-576)495642703 | ||
| 035 | |a (DE-599)BSZ495642703 | ||
| 035 | |a (OCoLC)1340982245 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 29 |2 sdnb | ||
| 100 | 1 | |a Enss, Tilman |d 1975- |e VerfasserIn |0 (DE-588)129957704 |0 (DE-627)484982087 |0 (DE-576)189109661 |4 aut | |
| 245 | 1 | 0 | |a Many-body localization in infinite chains |c T. Enss, F. Andraschko, and J. Sirker |
| 264 | 1 | |c 2017 | |
| 300 | |a 9 | ||
| 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 investigate the phase transition between an ergodic and a many-body localized phase in infinite anisotropic spin-$1/2$ Heisenberg chains with binary disorder. Starting from the N\'eel state, we analyze the decay of antiferromagnetic order $m_s(t)$ and the growth of entanglement entropy $S_{\textrm{ent}}(t)$ during unitary time evolution. Near the phase transition we find that $m_s(t)$ decays exponentially to its asymptotic value $m_s(\infty)\neq 0$ in the localized phase while the data are consistent with a power-law decay at long times in the ergodic phase. In the localized phase, $m_s(\infty)$ shows an exponential sensitivity on disorder with a critical exponent $\nu\sim 0.9$. The entanglement entropy in the ergodic phase grows subballistically, $S_{\textrm{ent}}(t)\sim t^\alpha$, $\alpha\leq 1$, with $\alpha$ varying continuously as a function of disorder. Exact diagonalizations for small systems, on the other hand, do not show a clear scaling with system size and attempts to determine the phase boundary from these data seem to overestimate the extent of the ergodic phase. | ||
| 650 | 4 | |a Condensed Matter - Quantum Gases | |
| 650 | 4 | |a Condensed Matter - Statistical Mechanics | |
| 650 | 4 | |a Condensed Matter - Strongly Correlated Electrons | |
| 650 | 4 | |a Condensed Matter - Disordered Systems and Neural Networks | |
| 700 | 1 | |a Andraschko, Felix |d 1988- |e VerfasserIn |0 (DE-588)1078650497 |0 (DE-627)839017162 |0 (DE-576)451587715 |4 aut | |
| 700 | 1 | |a Sirker, Jesko |e VerfasserIn |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Arxiv |d Ithaca, NY : Cornell University, 1991 |g (2017) Artikel-Nummer 1608.05733, 9 Seiten |h Online-Ressource |w (DE-627)509006531 |w (DE-600)2225896-6 |w (DE-576)28130436X |7 nnas |a Many-body localization in infinite chains |
| 773 | 1 | 8 | |g year:2017 |g extent:9 |a Many-body localization in infinite chains |
| 856 | 4 | 0 | |u http://arxiv.org/abs/1608.05733 |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 |d 130000 |d 130300 |e 130000PE129957704 |e 130300PE129957704 |k 0/130000/ |k 1/130000/130300/ |p 1 |x j | ||
| 999 | |a KXP-PPN1565642708 |e 2987983328 | ||
| BIB | |a Y | ||
| JSO | |a {"name":{"displayForm":["T. Enss, F. Andraschko, and J. Sirker"]},"origin":[{"dateIssuedKey":"2017","dateIssuedDisp":"2017"}],"id":{"eki":["1565642708"]},"physDesc":[{"extent":"9 S."}],"relHost":[{"origin":[{"dateIssuedDisp":"1991-","dateIssuedKey":"1991","publisher":"Cornell University ; Arxiv.org","publisherPlace":"Ithaca, NY ; [Erscheinungsort nicht ermittelbar]"}],"id":{"zdb":["2225896-6"],"eki":["509006531"]},"physDesc":[{"extent":"Online-Ressource"}],"title":[{"title_sort":"Arxiv","title":"Arxiv"}],"disp":"Many-body localization in infinite chainsArxiv","type":{"media":"Online-Ressource","bibl":"edited-book"},"note":["Gesehen am 28.05.2024"],"language":["eng"],"recId":"509006531","pubHistory":["1991 -"],"titleAlt":[{"title":"Arxiv.org"},{"title":"Arxiv.org e-print archive"},{"title":"Arxiv e-print archive"},{"title":"De.arxiv.org"}],"part":{"text":"(2017) Artikel-Nummer 1608.05733, 9 Seiten","extent":"9","year":"2017"}}],"person":[{"role":"aut","roleDisplay":"VerfasserIn","display":"Enss, Tilman","given":"Tilman","family":"Enss"},{"given":"Felix","family":"Andraschko","role":"aut","display":"Andraschko, Felix","roleDisplay":"VerfasserIn"},{"given":"Jesko","family":"Sirker","role":"aut","display":"Sirker, Jesko","roleDisplay":"VerfasserIn"}],"title":[{"title":"Many-body localization in infinite chains","title_sort":"Many-body localization in infinite chains"}],"note":["Gesehen am 23.11.2017"],"type":{"bibl":"chapter","media":"Online-Ressource"},"recId":"1565642708","language":["eng"]} | ||
| SRT | |a ENSSTILMANMANYBODYLO2017 | ||