scholarly journals Quantum phases of hard-core bosons in a frustrated honeycomb lattice

2012 ◽  
Vol 14 (11) ◽  
pp. 115028 ◽  
Author(s):  
C N Varney ◽  
K Sun ◽  
V Galitski ◽  
M Rigol
2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Lucile Savary

AbstractThe search for truly quantum phases of matter is a center piece of modern research in condensed matter physics. Quantum spin liquids, which host large amounts of entanglement—an entirely quantum feature where one part of a system cannot be measured without modifying the rest—are exemplars of such phases. Here, we devise a realistic model which relies upon the well-known Haldane chain phase, i.e. the phase of spin-1 chains which host fractional excitations at their ends, akin to the hallmark excitations of quantum spin liquids. We tune our model to exactly soluble points, and find that the ground state realizes Haldane chains whose physical supports fluctuate, realizing both quantum spin liquid like and symmetry-protected topological phases. Crucially, this model is expected to describe actual materials, and we provide a detailed set of material-specific constraints which may be readily used for an experimental realization.


2014 ◽  
Vol 28 (31) ◽  
pp. 1430016 ◽  
Author(s):  
Zhenyue Zhu ◽  
Steven R. White

Searching for spin-liquid states has long been attracting both experimentalists and theorists. In this paper, we review recent density matrix renormalization group studies of the spin-½ XY model on the honeycomb lattice, with first-neighbor (J1 = 1) and frustrating second-neighbor (J2 > 0) interactions. For the intermediate frustration regime 0.22 ≲ J2 ≲ 0.36, there exists a surprising antiferromagnetic Ising phase, with ordered moments pointing along the z-axis, despite the absence of any SzSz interactions in the Hamiltonian. Surrounding this phase as a function of J2 are antiferromagnetic phases with the moments pointing in the xy-plane for small J2 and a close competition between an xy-plane magnetic collinear phase and a dimer phase for large values of J2. No spin-liquid phases was found in the XY model even with the third-neighbor (J3 > 0) interactions.


1983 ◽  
Vol 97 (6) ◽  
pp. 235-238 ◽  
Author(s):  
Jean-Marc Debierre ◽  
Loîc Turban

2021 ◽  
Vol 10 (3) ◽  
Author(s):  
Amrita Ghosh ◽  
Eytan Grosfeld

We study the phases of hard-core bosons on a two-dimensional periodic honeycomb lattice in the presence of an on-site potential with alternating sign along the different y-layers of the lattice. Using quantum Monte Carlo simulations supported by analytical calculations, we identify a weak topological insulator, characterized by a zero Chern number but non-zero Berry phase, which is manifested at either density 1/4 or 3/4, as determined by the potential pattern. Additionally, a charge-density-wave insulator is observed at 1/2-filling, whereas the phase diagram at intermediate densities is occupied by a superfluid phase. The weak topological insulator is further shown to be robust against any amount of nearest-neighbor repulsion, as well as weak next-nearest-neighbor repulsion. The experimental realization of our model is feasible in an optical lattice setup.


2013 ◽  
Vol 87 (17) ◽  
Author(s):  
Tapan Mishra ◽  
Ramesh V. Pai ◽  
Subroto Mukerjee ◽  
Arun Paramekanti

2019 ◽  
Vol 256 (9) ◽  
pp. 1800639
Author(s):  
Xue‐Feng Zhang ◽  
Raoul Dillenschneider ◽  
Sebastian Eggert
Keyword(s):  

2020 ◽  
Vol 101 (6) ◽  
Author(s):  
Xingchuan Zhu ◽  
Bo Li ◽  
Huaiming Guo ◽  
Shiping Feng

2014 ◽  
Vol 90 (4) ◽  
Author(s):  
A. Safavi-Naini ◽  
B. Capogrosso-Sansone ◽  
A. Kuklov

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