scholarly journals Spin liquid phases of large-spin Mott insulating ultracold bosons

2016 ◽  
Vol 93 (9) ◽  
Author(s):  
Todd C. Rutkowski ◽  
Michael J. Lawler
Keyword(s):  
2020 ◽  
Vol 102 (11) ◽  
Author(s):  
Luca F. Tocchio ◽  
Arianna Montorsi ◽  
Federico Becca

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.


2001 ◽  
Vol 63 (13) ◽  
Author(s):  
G. Fáth ◽  
Ö. Legeza ◽  
J. Sólyom
Keyword(s):  

2019 ◽  
Vol 7 (1) ◽  
Author(s):  
Shenghan Jiang ◽  
Panjin Kim ◽  
Jung Hoon Han ◽  
Ying Ran

The properties of ground state of spin-\frac{1}{2}12 kagome antiferromagnetic Heisenberg (KAFH) model have attracted considerable interest in the past few decades, and recent numerical simulations reported a spin liquid phase. The nature of the spin liquid phase remains unclear. For instance, the interplay between symmetries and Z_2Z2 topological order leads to different types of Z_2Z2 spin liquid phases. In this paper, we develop a numerical simulation method based on symmetric projected entangled-pair states (PEPS), which is generally applicable to strongly correlated model systems in two spatial dimensions. We then apply this method to study the nature of the ground state of the KAFH model. Our results are consistent with that the ground state is a U(1)U(1) Dirac spin liquid rather than a Z_2Z2 spin liquid.


1990 ◽  
Vol 04 (03) ◽  
pp. 225-232 ◽  
Author(s):  
EDUARDO FRADKIN ◽  
STEVEN KIVELSON

We consider the nature of superconductivity near a spin-liquid state with a large spin-excitation-gap. We argue that the quantum-dimer-model with holes is a good approximation in this limit. The insulator is shown to be exactly equivalent to compact quantum electrodynamics, and has a massive spectrum. The doped system is a superconductor with a low density phase characterized by tightly bound pairs and a high density phase with two weakly coupled condensates.


2013 ◽  
Vol 88 (4) ◽  
Author(s):  
P. Sinkovicz ◽  
A. Zamora ◽  
E. Szirmai ◽  
M. Lewenstein ◽  
G. Szirmai

1999 ◽  
Vol 259-261 ◽  
pp. 1023-1024
Author(s):  
O.P. Sushkov ◽  
V.N. Kotov ◽  
Zheng Weihong ◽  
J. Oitmaa

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