First-order topological quantum phase transition in a strongly correlated ladder

@article{Barbarino2018FirstorderTQ,
  title={First-order topological quantum phase transition in a strongly correlated ladder},
  author={Simone Barbarino and Giorgio Sangiovanni and Jan Carl Budich},
  journal={Physical Review B},
  year={2018}
}
We report on the discovery of a quantum tri-critical point (QTP) separating a line of first-order topological quantum phase transitions from a continuous transition regime in a strongly correlated one-dimensional lattice system. Specifically, we study a fermionic four-leg ladder supporting a symmetry-protected topological phase in the presence of on-site interaction, which is driven towards a trivial gapped phase by a nearest-neighbor interaction. Based on DMRG simulations, we show that, as a… 

Figures from this paper

Unifying topological phase transitions in non-interacting, interacting, and periodically driven systems

Topological phase transitions occur in real materials as well as quantum engineered systems, all of which differ greatly in terms of dimensionality, symmetries, interactions, and driving, and hence

Simulating bosonic Chern insulators in one-dimensional optical superlattices

We study the topological properties of an extended Bose-Hubbard model with cyclically modulated hopping and on-site potential parameters, which can be realized with ultracold bosonic atoms in a

Intrinsic jump character of first-order quantum phase transitions

We find that the first-order quantum phase transitions~(QPTs) are characterized by intrinsic jumps of relevant operators while the continuous ones are not. Based on such an observation, we propose a

Interplay of local order and topology in the extended Haldane-Hubbard model

We investigate the ground-state phase diagram of the spinful extended Haldane-Hubbard model on the honeycomb lattice using an exact-diagonalization, mean-field variational approach, and further

Intertwined topological phases induced by emergent symmetry protection

A model where the symmetry needed for a symmetry-protected topological phase only emerges after the formation of long-range order is presented, paving the way for further exploration of exotic topological features in strongly-correlated quantum systems.

First-order topological phase transition of the Haldane-Hubbard model

We study the interplay of topological band structure and conventional magnetic long-range order in spinful Haldane model with on-site repulsive interaction. Using the dynamical cluster approximation

Strong correlation effects on topological quantum phase transitions in three dimensions

We investigate the role of short-ranged electron-electron interactions in a paradigmatic model of three dimensional topological insulators, using dynamical mean-field theory and focusing on non

First-order character and observable signatures of topological quantum phase transitions.

It is demonstrated that a sufficiently strong electron-electron interaction can fundamentally change the situation: a topological quantum phase transition of first-order character in the genuine thermodynamic sense that occurs without a gap closing is discovered.

Continuous and discontinuous topological quantum phase transitions

The continuous quantum phase transition between noninteracting, time-reversal symmetric topological and trivial insulators in three dimensions is described by the massless Dirac fermion. We address

Staircase to higher-order topological phase transitions

We find a series of topological phase transitions of increasing order, beyond the more standard second-order phase transition in a one-dimensional topological superconductor. The jumps in the order

Topological order and semions in a strongly correlated quantum spin Hall insulator.

This work identifies an exotic phase for large spin-orbit coupling and intermediate Hubbard interaction that is gapped and does not break any symmetry, and argues that it has gapless edge modes protected by time-reversal symmetry but a trivial Z(2) topological invariant.

Criticality at the Haldane-insulator charge-density-wave quantum phase transition

Exploiting the entanglement concept within a matrix-product-state based infinite density-matrix renormalization group approach, we show that the spin-density-wave and bond-order-wave ground states of

Fluctuation-induced topological quantum phase transitions in quantum spin-Hall and anomalous-Hall insulators

We investigate the role of quantum fluctuations in topological quantum phase transitions of quantum spin Hall insulators and quantum anomalous Hall insulators. Employing the variational cluster

Fluctuation-driven topological Hund insulators

We investigate the role of electron-electron interaction in a two-band Hubbard model based on the Bernevig-Hughes-Zhang Hamiltonian exhibiting the quantum spin Hall (QSH) effect. By means of

Bond-order-wave phase and quantum phase transitions in the one-dimensional extended Hubbard model

We use a stochastic series-expansion quantum Monte Carlo method to study the phase diagram of the one-dimensional extended Hubbard model at half-filling for small to intermediate values of the
...