Orbital order in a bosonic $p$-band triangular lattice

• URL: http://arxiv.org/abs/2102.05319v2
• Date: Sat, 10 Jul 2021 00:48:35 GMT
• Title: Orbital order in a bosonic $p$-band triangular lattice
• Authors: Hua Chen and X. C. Xie
• Abstract summary: We study the evolution of orbital order across the superfluid-Mott insulator transition. Our systematic analysis suggests that the in-plane ferro-orbital order in the Mott insulator phase agrees with and likely evolves from the latter superfluid phase.
• Score: 2.0892060344874492
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a detailed study of the Bose-Hubbard model in a $p$-band triangular lattice by focusing on the evolution of orbital order across the superfluid-Mott insulator transition. Two distinct phases are found in the superfluid regime. One of these phases adiabatically connects the weak interacting limit. This phase is characterized by the intertwining of axial $p_\pm=p_x \pm ip_y$ and in-plane $p_\theta=\cos\theta p_x+\sin\theta p_y$ orbital orders, which break the time-reversal symmetry and lattice symmetries simultaneously. In addition, the calculated Bogoliubov excitation spectrum gaps the original Dirac points in the single-particle spectrum but exhibits emergent Dirac points. The other superfluid phase in close proximity to the Mott insulator with unit boson filling shows a detwined in-plane ferro-orbital order. Finally, an orbital exchange model is constructed for the Mott insulator phase. Its classical ground state has an emergent SO$(2)$ rotational symmetry in the in-plane orbital space and therefore enjoys an infinite degeneracy, which is ultimately lifted by the orbital fluctuation via the order by disorder mechanism. Our systematic analysis suggests that the in-plane ferro-orbital order in the Mott insulator phase agrees with and likely evolves from the latter superfluid phase.

Related papers

• Exactly solvable models for fermionic symmetry-enriched topological phases and fermionic 't Hooft anomaly [33.49184078479579]
  The interplay between symmetry and topological properties plays a very important role in modern physics. How to realize all these fermionic SET (fSET) phases in lattice models remains to be a difficult open problem.
  arXiv  Detail & Related papers  (2024-10-24T19:52:27Z)
• Orbital phases of $p$-band ultracold fermions in the frustrated triangular lattice [11.409438496177826]
  In this work, we consider spinless fermionic atoms loaded into $p$-orbital bands of a two-dimensional frustrated triangular lattice. The system can be described by an extended Fermi-Hubbard model, which is numerically solved by using the orbital version of real-space dynamical mean-field theory.
  arXiv  Detail & Related papers  (2024-07-01T03:33:08Z)
• Orbital selective order and $\mathbb{Z}_3$ Potts nematicity from a non-Fermi liquid [0.0]
  We study systems where a high temperature non-Fermi liquid gives way to low temperature $mathbbZ_3$ Potts nematic order. On the 3D cubic lattice, the low temperature uniform $mathbbZ_3$ nematic state corresponds to an orbital selective layered state. On the 2D triangular lattice, the low temperature state with uniform orbital order is also a correlated $mathbbZ_3$ nematic with orbital-selective transport.
  arXiv  Detail & Related papers  (2024-02-26T19:00:03Z)
• Superfluid phase transition of nanoscale-confined helium-3 [0.0]
  We investigate the superfluid phase transition of helium-3 under nanoscale confinement. The quasi two-dimensional superfluid is described by a reduced 3x2 complex matrix. We show that mean-field theory predicts precisely two energetically degenerate superfluid orders to emerge at the transition.
  arXiv  Detail & Related papers  (2023-07-17T19:45:54Z)
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders [37.69303106863453]
  We consider a system of interacting spinless fermions on a two-leg triangular ladder with $pi/2$ magnetic flux per triangular plaquette. Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total fermionic charge, and a discrete $mathbbZ$ symmetry. At the intersection of the three phases, the system features a critical point with an emergent SU(2) symmetry.
  arXiv  Detail & Related papers  (2023-05-11T15:57:27Z)
• Orbital liquid in the $e_g$ orbital Hubbard model in $d=\infty$ dimensions [0.0]
  We show that the three-dimensional $e_g$ orbital Hubbard model can be generalized to arbitrary dimension $d$. We investigate the $e_g$ orbital Hubbard model in the limit $dtoinfty$.
  arXiv  Detail & Related papers  (2022-11-03T15:19:46Z)
• Phase diagram of Rydberg-dressed atoms on two-leg triangular ladders [50.591267188664666]
  We investigate the phase diagram of hard-core bosons in a triangular ladder with next-to-nearest-neighbor interaction along each leg. For weak interactions, Abelian bosonization predicts a spin density wave and a fully gapless Luttinger liquid phase. The competition with the zigzag interaction generates a charge density wave, a 'polarized holonic' phase, and a crystalline phase at the filling 2/5.
  arXiv  Detail & Related papers  (2022-07-01T12:49:04Z)
• Phase diagram of Rydberg-dressed atoms on two-leg square ladders: Coupling supersymmetric conformal field theories on the lattice [52.77024349608834]
  We investigate the phase diagram of hard-core bosons in two-leg ladders in the presence of soft-shoulder potentials. We show how the competition between local and non-local terms gives rise to a phase diagram with liquid phases with dominant cluster, spin, and density-wave quasi-long-range ordering.
  arXiv  Detail & Related papers  (2021-12-20T09:46:08Z)
• Towards a complete classification of non-chiral topological phases in 2D fermion systems [29.799668287091883]
  We argue that all non-chiral fermionic topological phases in 2+1D are characterized by a set of tensors $(Nij_k,Fij_k,Fijm,alphabeta_kln,chidelta,n_i,d_i)$. Several examples with q-type anyon excitations are discussed, including the Fermionic topological phase from Tambara-gami category for $mathbbZ_2N$.
  arXiv  Detail & Related papers  (2021-12-12T03:00:54Z)
• Topological and non-topological features of generalized Su-Schrieffer-Heeger models [0.0]
  The Su-Schrieffer-Heeger Hamiltonian is studied at half filling for an even number of sites. We find a variety of topologically non-trivial phases, characterized by different numbers of edge states. We study specifically next-nearest-neighbor hopping with amplitudes $t_a$ and $t_b$ for the $A$ and $B$ sublattices, respectively.
  arXiv  Detail & Related papers  (2020-04-23T10:08:00Z)
• Anisotropy-mediated reentrant localization [62.997667081978825]
  We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems. We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
  arXiv  Detail & Related papers  (2020-01-31T19:00:01Z)

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.