True nature of long-range order in a plaquette orbital model

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12510%2F10%3A00012295" target="_blank" >RIV/60076658:12510/10:00012295 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11620/10:10051522

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

True nature of long-range order in a plaquette orbital model

Popis výsledku v původním jazyce

We analyze the classical version of a plaquette orbital model that was recently introduced and studied numerically by Wenzel and Janke. In this model, edges of the square lattice are partitioned into x and z types that alternate along both coordinate directions and thus arrange into a checkerboard pattern of x and z plaquettes; classical O (2) spins are then coupled ferromagnetically via their first components over the x edges and via their second components over the z edges. We prove from first principles that, at sufficiently low temperatures, the model exhibits orientational long-range order (OLRO) in one of the two principal lattice directions. Magnetic order is precluded by the underlying symmetries. A similar set of results is inferred also for quantum systems with large spin although the spin-1/2 instance currently seems beyond the reach of rigorous methods. We point out that the Néel order in the plaquette energy distribution observed in numerical simul

Název v anglickém jazyce

True nature of long-range order in a plaquette orbital model

Popis výsledku anglicky

We analyze the classical version of a plaquette orbital model that was recently introduced and studied numerically by Wenzel and Janke. In this model, edges of the square lattice are partitioned into x and z types that alternate along both coordinate directions and thus arrange into a checkerboard pattern of x and z plaquettes; classical O (2) spins are then coupled ferromagnetically via their first components over the x edges and via their second components over the z edges. We prove from first principles that, at sufficiently low temperatures, the model exhibits orientational long-range order (OLRO) in one of the two principal lattice directions. Magnetic order is precluded by the underlying symmetries. A similar set of results is inferred also for quantum systems with large spin although the spin-1/2 instance currently seems beyond the reach of rigorous methods. We point out that the Néel order in the plaquette energy distribution observed in numerical simul

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

<a href="/cs/project/GA201%2F09%2F1931" target="_blank" >GA201/09/1931: Velké interagující systémy na mřížce: Gibbsovy stavy a fázové přechody</a><br>

Návaznosti

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2010

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Statistical Mechanics : Theory and experiment

ISSN

1742-5468

e-ISSN

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Svazek periodika

2010

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

33

Strana od-do

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Kód UT WoS článku

000286468600002

EID výsledku v databázi Scopus

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