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Plaquette ordered phase and quantum phase diagram in the spin-1/2 J(1)-J(2) square Heisenberg model.
We study the spin-1/2 Heisenberg model on the square lattice with first- and second-neighbor antiferromagnetic interactions J(1) and J(2), which possesses a nonmagnetic region that has been debated
Emergent Space-Time Supersymmetry at the Boundary of a Topological Phase
TLDR
It is argued that the quantum phase transitions at the boundary of topological superconductors in both two and three dimensions display SUSY when probed at long distances and times and Experimental consequences include exact relations between quantities measured in disparate experiments and, in some cases, exact knowledge of the universal critical exponents.
Time-reversal-symmetry-broken quantum spin Hall effect.
TLDR
It is found that the QSH state characterized by nonzero spin Chern numbers C(±) = ±1 persists when the TR symmetry is broken, and it is shown that the transition from the TR-symmetry-broken QSH phase to an ordinary insulator state cannot happen without closing the band gap.
Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model
TLDR
A density-matrix renormalization group based method for adiabatically inserting flux is developed and found a FQHE in a isotropic kagome Heisenberg model, identified as the long-sought CSL with a uniform chiral order spontaneously breaking time reversal symmetry.
Quantum spin-Hall effect and topologically invariant Chern numbers.
TLDR
It is shown that the topology of the band insulator can be characterized by a 2 x 2 matrix of first Chern integers, and the nontrivial QSHE phase is identified by the nonzero diagonal matrix elements of the Chern number matrix (CNM).
Competing spin-liquid states in the spin- 1 2 Heisenberg model on the triangular lattice
We study the spin-$1/2$ Heisenberg model on the triangular lattice with the antiferromagnetic first ($J_1$) and second ($J_2$) nearest-neighbor interactions using density matrix renormalization
Spin Bose-metal and valence bond solid phases in a spin-1/2 model with ring exchanges on a four-leg triangular ladder.
TLDR
A spin-1/2 system with Heisenberg plus ring exchanges on a four-leg triangular ladder is studied using the density matrix renormalization group and Gutzwiller variational wave functions to find a staggered dimer phase with dimers in the transverse direction.
Quantum Spin Liquid with Emergent Chiral Order in the Triangular-lattice Hubbard Model
Bin-Bin Chen,1, 2 Ziyu Chen,1 Shou-Shu Gong,1, ∗ D. N. Sheng,3 Wei Li,1, 4, † and Andreas Weichselbaum5, 2, ‡ 1School of Physics, Beihang University, Beijing 100191, China 2Arnold Sommerfeld Center
Density matrix renormalization group numerical study of the kagome antiferromagnet.
TLDR
The spin-1/2 antiferromagnetic Heisenberg model on the kagome lattice is numerically studied using the density-matrix renormalization group method and is found to be a magnetically disordered spin liquid, characterized by an exponential decay of spin-spin correlation function in real space and a magnetic structure factor showing system-size independent peaks at commensurate magnetic wave vectors.
Global phase diagram of competing ordered and quantum spin-liquid phases on the kagome lattice
We study the quantum phase diagram of the spin-$1/2$ Heisenberg model on the kagome lattice with first-, second-, and third-neighbor interactions ${J}_{1},{J}_{2}$, and ${J}_{3}$ by means of density
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