Phase diagram of hard-core bosons on a frustrated zig-zag ladder

We study hard-core bosons with unfrustrated nearest-neighbor hopping \(t\) and repulsive interaction \(V\) on a zig-zag ladder. As a function of the boson density \(\rho\) and \(V/t\), the ground state displays different quantum phases. A standard one-component Tomonaga-Luttinger liquid is stable fo...

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Bibliographic Details
Published in:arXiv.org 2011-01
Main Authors: Rossini, Davide, Lante, Valeria, Parola, Alberto, Federico Becca
Format: Article
Language:English
Subjects:
Bosons
Broken symmetry
Excitation
Ground state
Phase diagrams
Online Access:Get full text
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Summary:We study hard-core bosons with unfrustrated nearest-neighbor hopping \(t\) and repulsive interaction \(V\) on a zig-zag ladder. As a function of the boson density \(\rho\) and \(V/t\), the ground state displays different quantum phases. A standard one-component Tomonaga-Luttinger liquid is stable for \(\rho2/3\)) at any value of \(V/t\). At commensurate densities \(\rho=1/3\), \(1/2\), and \(2/3\) insulating (crystalline) phases are stabilized for a sufficiently large interaction \(V\). For intermediate densities \(1/3
ISSN:2331-8422
DOI:10.48550/arxiv.1101.3217