Classical phase diagram of the stuffed honeycomb lattice

Abstract

We investigate the classical phase diagram of the stuffed honeycomb Heisenberg lattice, which consists of a honeycomb lattice with a superimposed triangular lattice formed by sites at the center of each hexagon. This lattice encompasses and interpolates between the honeycomb, triangular and dice lattices, preserving the hexagonal symmetry while expanding the phase space for potential spin liquids. We use a combination of iterative minimization, classical Monte Carlo and analytical techniques to determine the complete ground state phase diagram. It is quite rich, with a variety of non-coplanar and non-collinear phases not found in the previously studied limits. In particular, our analysis reveals the triangular lattice critical point to be a multicritical point with two new phases vanishing via second order transitions at the critical point. We analyze these phases within linear spin wave theory and discuss consequences for the S = 1/2 spin liquid. arXiv:1805.09831v2 [cond-mat.str-el] 20 Sep 2018 i,j η=A,B,C S η i · S η j (3) J 1 and J both correspond to nearest-neighbor (NN) interactions. While J 1 couples the A and B sublattices, J couples the C sublattice with both A and B

Theory of partial quantum disorder in the stuffed honeycomb Heisenberg antiferromagnet

“…However, in these scenarios a frustrating next-nearest neighbor coupling is crucial for destabilizing the magnetic order of the honeycomb lattice. 35,36 We note that alternative explanations for the unusual magnetic behavior of LiZn 2 Mo 3 O 8 have been put forward. 37,38 at any finite h > 0 the dispersion ω(q) is gapped and correlations decay exponentially, we perform a finitesize fit of the form j…”

Chiral Spin Liquid Phase of the Triangular Lattice Hubbard Model: A Density Matrix Renormalization Group Study

“…Substantial theoretical effort has gone into answering this question, primarily in studying the antiferromagnetic Heisenberg model with additional terms, such as secondneighbor interactions and ring exchanges, that frustrate the expected three-sublattice order [22][23][24][25][26][27][28][29][30][31][32][33][34]. The Heisenberg model and its extensions are derived from a perturbative expansion of a model of itinerant electrons, the Hubbard model [35]; by studying the Hubbard model directly, we can capture additional effects that may be important in actual materials, at the cost of increased computational effort-compared with spin-1=2 models, the size of the local Hilbert space is doubled, so the system sizes that can be accessed by full-Hilbert-space numerical methods are only about half as large.…”

Spin-liquid-like state in pure and Mn-doped TbInO3 with a nearly triangular lattice

“…The Tb1/Tb2 lattice of TbInO3 is of the type known as stuffed honeycomb lattice. [38] For isotropic spin-half lattices of this type, various ordered states, as well as QSLs, have been predicted. [38] Further theoretical work on anisotropic interactions in this model should be relevant to TbInO3, and is therefore highly desirable.…”

“…[38] For isotropic spin-half lattices of this type, various ordered states, as well as QSLs, have been predicted. [38] Further theoretical work on anisotropic interactions in this model should be relevant to TbInO3, and is therefore highly desirable. An important limit of the stuffed lattice is the simple honeycomb lattice, which can support the Kitaev QSL with its exotic dynamic properties, such as Majorana fermions.…”