Absence of spin liquid phase in the $J_1-J_2$ Heisenberg model on the square lattice

• URL: http://arxiv.org/abs/2309.13630v3
• Date: Sun, 7 Apr 2024 11:15:16 GMT
• Title: Absence of spin liquid phase in the $J_1-J_2$ Heisenberg model on the square lattice
• Authors: Xiangjian Qian, Mingpu Qin,
• Abstract summary: We use Density Matrix Renormalization Group and Fully-Augmented Matrix Product States methods to reach unprecedented accuracy with large bond dimensions. It was believed before that there exists a narrow spin liquid phase sandwiched by the N'eel antiferromagnetic (AFM) and bond solid (VBS) phases. We also provide accurate results for ground state energies for a variety of sizes, from which we find that the transition between the N'eel AFM and VBS phases is continuous.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We perform an in-depth investigation of the phase diagram of the $J_1-J_2$ Heisenberg model on the square lattice. We take advantage of Density Matrix Renormalization Group and Fully-Augmented Matrix Product States methods and reach unprecedented accuracy with large bond dimensions. We utilize excited-level crossing analysis to pinpoint the phase transition points. It was believed before that there exists a narrow spin liquid phase sandwiched by the N\'eel antiferromagnetic (AFM) and valence bond solid (VBS) phases. Through careful finite size scaling of the level crossing points, we find a direct phase transition between the N\'eel AFM and VBS phases at $J_2/J_1 = 0.535(3)$, suggesting the absence of an intermediate spin liquid phase. We also provide accurate results for ground state energies for a variety of sizes, from which we find that the transition between the N\'eel AFM and VBS phases is continuous. These results indicate the existence of a deconfined quantum critical point at $J_2/J_1 = 0.535(3)$ in the model. From the crossing of the first derivative of the energies with $J_2$ for different sizes, we also determine the precise location of the first order phase transition between the VBS and stripe AFM phases at $J_2/J_1=0.610(5)$.

Related papers

• Ground-state phase diagram of the SU($4$) Heisenberg model on a plaquette lattice [0.0]
  We find that the SU($4$) singlet ground state appears in the strongly anisotropic limit. We also calculate the anisotropy dependence of singlet correlations on a plaquette bond, which will be useful for future experiments of ultracold atoms in optical lattices.
  arXiv  Detail & Related papers  (2024-07-08T02:14:44Z)
• Probing quantum floating phases in Rydberg atom arrays [61.242961328078245]
  We experimentally observe the emergence of the quantum floating phase in 92 neutral-atom qubits. The site-resolved measurement reveals the formation of domain walls within the commensurate ordered phase. As the experimental system sizes increase, we show that the wave vectors approach a continuum of values incommensurate with the lattice.
  arXiv  Detail & Related papers  (2024-01-16T03:26:36Z)
• Scale-invariant phase transition of disordered bosons in one dimension [0.0]
  disorder-induced quantum phase transition between superfluid and non-superfluid states of bosonic particles in one dimension is generally expected to be of the Berezinskii-Kosterlitz-Thouless (BKT) type. Here, we show that hard-core lattice bosons with integrable power-law hopping decaying with distance as $1/ralpha$ undergo a non-BKT continuous phase transition instead.
  arXiv  Detail & Related papers  (2023-10-26T13:30:12Z)
• Triggering Boundary Phase Transitions through Bulk Measurements in 2D Cluster States [20.295517930821084]
  We investigate the phase diagram at the boundary of an infinite two-dimensional cluster state subject to bulk measurements. Our results show that the boundary of the system exhibits volume-law entanglement at the measurement angle. These findings demonstrate that the phase diagram of the boundary of a two-dimensional system can be more intricate than that of a standard one-dimensional system.
  arXiv  Detail & Related papers  (2023-05-23T16:46:32Z)
• Quantum phase transitions in the triangular coupled-top model [23.303857456199328]
  We study the coupled-top model with three large spins located on a triangle. Depending on the coupling strength, there exist three phases: disordered paramagnetic phase, geometricmagnetic phase, and frustrated antiferromagnetic phase.
  arXiv  Detail & Related papers  (2022-11-06T02:24:37Z)
• Superdiffusion in random two dimensional system with time-reversal symmetry and long-range hopping [45.873301228345696]
  localization problem in the crossover regime for the dimension $d=2$ and hopping $V(r) propto r-2$ is not resolved yet. We show that for the hopping determined by two-dimensional anisotropic dipole-dipole interactions there exist two distinguishable phases at weak and strong disorder.
  arXiv  Detail & Related papers  (2022-05-29T16:53:20Z)
• Quantum phase transition in the one-dimensional Dicke-Hubbard model with coupled qubits [20.002319486166016]
  We study the ground state phase diagram of a one-dimensional two qubits Dicke-Hubbard model with XY qubit-qubit interaction.
  arXiv  Detail & Related papers  (2021-11-05T13:17:49Z)
• Phase transition of Frustrated Ising model via D-wave Quantum Annealing Machine [0.0]
  We study the frustrated Ising model on the two-dimensional $L times L$ square lattice with ferromagnetic (FM) nearest-neighbor and antiferromagnetic diagonal-neighbor interactions. We find the FM to stripe order phase transition, through observations of the magnetization $M$, energy, magnetic susceptibility and structure factor.
  arXiv  Detail & Related papers  (2021-10-11T10:02:33Z)
• Superradiant phase transition in complex networks [62.997667081978825]
  We consider a superradiant phase transition problem for the Dicke-Ising model. We examine regular, random, and scale-free network structures.
  arXiv  Detail & Related papers  (2020-12-05T17:40:53Z)
• Valence-bond solids, vestigial order, and emergent SO(5) symmetry in a two-dimensional quantum magnet [0.0]
  We introduce a quantum spin-1/2 model with many-body correlated Heisenberg-type interactions on the 2D square lattice. We carry out a detailed quantum Monte Carlo study of the quantum phase transition between the antiferromagnetic (AFM) and PVBS states. We show that the coexistence state at the AFM--PVBS transition is unexpectedly associated with SO(5) symmetry, which may indicate that the transition is connected to a deconfined critical point.
  arXiv  Detail & Related papers  (2020-01-27T20:01:30Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.