Non-Hermitian skin clusters from strong interactions

Shen, Ruizhe; Lee, Ching Hua

doi:10.48550/arxiv.2107.03414

Cited by 10 publications

(10 citation statements)

References 61 publications

(82 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…6(b) are separated by the loop gap. Recently, the loop gap is reported in interacting non-Hermitian systems [72]. Here we show that the loop gap structures can exist in our non-interacting longrange nonreciprocal systems.…”

Section: Long-range Nonreciprocal Lattices With Onsite Modulationsupporting

confidence: 64%

Evolution of spectral topology in one-dimensional long-range nonreciprocal lattices

Zeng,

Lü

2022

Preprint

View full text Add to dashboard Cite

We investigate the spectral topology of one-dimensional lattices where the nonreciprocal hoppings within the nearest r d neighboring sites are the same. For the purely off-diagonal model without onsite potentials, the energy spectrum of the lattice under periodic boundary conditions (PBCs) forms an inseparable loop that intertwines with itself in the complex energy plane and is characterized by winding numbers ranging from 1 up to r d . The corresponding spectrum under open boundary conditions (OBCs), which is real in the nearest neighboring model, will ramify and take the shape of an (r d + 1)-pointed star with all the branches connected at zero energy. If we further introduce periodic onsite modulations, the spectrum will gradually divide into multiple separable bands as we vary the parameters. Most importantly, we find that a new kind of band gap called loop gap can exist in the PBC spectrum, separating an inner loop from an outer one with each formed by part of the spectrum. In addition, loop structures also exhibit in the OBC spectra of systems with onsite potentials. Our work unveils the exotic spectral topology in the long-range nonreciprocal lattices.

show abstract

Section: Long-range Nonreciprocal Lattices With Onsite Modulationsupporting

confidence: 64%

Evolution of spectral topology in one-dimensional long-range nonreciprocal lattices

Zeng,

Lü

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…How an equilibrium state reaches such steady states in time and the corresponding dynamics of the density matrix due to introduction of non-Hermiticity is another interesting future scope. Similarly the role of many-body physics and interactions is something that has been studied only recently [31,[72][73][74][75][76][77] and is worth pursuing in future. In conclusion, our different many-body perspective on the non-Hermitian phases can lead to interesting insights where the interplay of topology, entanglement and correlations conspire to produce novel phases of quantum matter.…”

Section: Summary and Discussionmentioning

confidence: 99%

Chiral metals and entrapped insulators in a one-dimensional topological non-Hermitian system

Banerjee,

Hegde,

Agarwala

et al. 2021

Preprint

View full text Add to dashboard Cite

In this work we study many-body 'steady states' that arise in the non-Hermitian generalisation of the non-interacting Su-Schrieffer-Heeger model at a finite density of fermions. We find that the hitherto known phase diagrams for this system, derived from the single-particle gap closings, in fact correspond to distinct non-equilibrium phases, which either carry finite currents or are dynamical insulators where particles are entrapped. Each of these have distinct quasi-particle excitations and steady state correlations and entanglement properties. Looking at finite-sized systems, we further modulate the boundary to uncover the topological features in such steady states -in particular the emergence of leaky boundary modes. Using a variety of analytical and numerical methods we develop a theoretical understanding of the various phases and their transitions, and uncover the rich interplay of non-equilibrium many-body physics, quantum entanglement and topology in a simple looking, yet a rich model system.

show abstract

“…For interacting many-body systems, an emergent realspace Fermi surface was observed [52], non-Hermitian topological Mott phases were identified in both bosonic and fermionic superlattices [54][55][56], and the correlated effects were analyzed based on the pseudospectrum [57,58]. There are also works concerning the interplay between interaction and non-Hermitian topology [59][60][61].…”

Section: Introductionmentioning

confidence: 99%

Characterizing the Bulk-Boundary Correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy

Chen,

Peng,

et al. 2021

Preprint

View full text Add to dashboard Cite

Dramatically different from the Hermitian systems, the conventional Bulk-Boundary Correspondence (BBC) is broken in the non-Hermitian systems. In this article, we use edge entanglement entropy to characterize the topological properties of interacting non-Hermitian systems. For free Fermions, we study the scaling behavior of entanglement entropy and demonstrate that the edge entanglement entropy is a good indicator to delimit different phases of non-Hermitian systems. We further generalize the edge entanglement entropy to the interacting non-Hermitian Hubbard chain, and obtain the topological phase diagram in the plane of interaction and non-Hermitian hopping amplitudes. It is found that the Hubbard interaction diminishes and weakens the breakdown of Bulk-Boundary Correspondence, which eventually disappears at some critical value of interaction.

show abstract

Non-Hermitian skin clusters from strong interactions

Cited by 10 publications

References 61 publications

Evolution of spectral topology in one-dimensional long-range nonreciprocal lattices

Evolution of spectral topology in one-dimensional long-range nonreciprocal lattices

Chiral metals and entrapped insulators in a one-dimensional topological non-Hermitian system

Characterizing the Bulk-Boundary Correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy

Contact Info

Product

Resources

About