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Supersolidity, entropy, and frustration:t−t′−Vmodel of hard-core bosons on the triangular lattice

2007/07/05 by S. R. Hassan, Luca de’ Medici, L. de Medici +2 · 3 citations
Chemistry · Physics and Astronomy · #Antiferromagnetism #Chemistry #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Crystallography #Ferrimagnetism #Frustration #Lattice (music) #Magnetic field #Magnetization #Phase (matter) #Phase diagram #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Quantum, superfluid, helium dynamics #Supersolid #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.76.144420

published as Phys. Rev. B 76, 144420 (2007) · 4 pages, igures, LaTex

arxiv created 2007/07/05 · openalex publication_date 2007/10/16 · arxiv updated 2015/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the properties of t\text\ensuremath-t^\ensuremath'\text\ensuremath-V model of hard-core bosons on the triangular lattice that can be realized in optical lattices. By mapping to the spin-1∕2 XXZ model in a field, we determine the phase diagram of the t\text\ensuremath-V model where the supersolid characterized by the ordering pattern (x,x,\ensuremath-2x^\ensuremath') (``ferrimagnetic'' or SS A) is a ground state for chemical potential \ensuremathμ>3V. By turning on either temperature or t^\ensuremath' at half filling (\ensuremathμ=3V), we find a first order transition from SS A to the elusive supersolid characterized by the (x,\ensuremath-x,0) ordering pattern (``antiferromagnetic'' or SS C). In addition, we find a large region where a superfluid phase becomes a solid upon increasing temperature at fixed chemical potential. This is an analog of the Pomeranchuk effect driven by the large entropic effects associated with geometric frustration on the triangular lattice.

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