Nodal line semimetals through boundary
- URL: http://arxiv.org/abs/2308.06033v1
- Date: Fri, 11 Aug 2023 09:26:47 GMT
- Title: Nodal line semimetals through boundary
- Authors: Protyush Nandi and Subinay Dasgupta
- Abstract summary: We study the properties of a spinless Hamiltonian which describes topological nodal line semimetals at zero temperature.
One type of the semimetal is characterised by a single closed loop of nodal line, while the other, by two such loops both crossing the boundary of the first Brillouin zone.
Surface states with non-zero winding number are found to exist in both of these phases, but over two topologically different regions.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study the properties of a spinless Hamiltonian which describes topological
nodal line semimetals at zero temperature. Our Hamiltonian has some resemblance
with the usual Hamiltonian for this type of materials, with that of Weyl
semimetals and is some sort of a generalisation of Kitaev Hamiltonian on
honeycomb lattice. As the interaction parameter of the Hamiltonian is varied,
it shows a transition from a gapless phase to a semimetal phase and then to
another semimetal phase. These transitions show up as non-analytic behaviour of
ground state energy. We find that one type of the semimetal is characterised by
a single closed loop of nodal line, while the other, by two such loops both
crossing the boundary of the first Brillouin zone. Surface states with non-zero
winding number are found to exist in both of these phases, but over two
topologically different regions. We also study the length of nodal line, the
area and perimeter of the region over which the winding number is non-zero and
the low-frequency electrical conductivity.
Related papers
- Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers [49.1574468325115]
Bond-directional spin-spin interactions in a Fermi-Hubbard bilayer can be realized with ultracold fermions in Raman optical lattices.<n>We analyze the Fermi-liquid and Mott-insulating phases, highlighting a correspondence between Dirac and Majorana quasi-particles.<n>Our results establish that cold-atom quantum simulators based on Raman optical lattices can be a playground for extended Kitaev models.
arXiv Detail & Related papers (2025-04-22T10:07:56Z) - Topological Order in the Spectral Riemann Surfaces of Non-Hermitian Systems [44.99833362998488]
We show topologically ordered states in the complex-valued spectra of non-Hermitian systems.
These arise when the distinctive exceptional points in the energy surfaces of such models are annihilated.
We illustrate the characteristics of the topologically protected states in a non-Hermitian two-band model.
arXiv Detail & Related papers (2024-10-24T10:16:47Z) - Topological Solitons in Square-root Graphene Nanoribbons Controlled by Electric Fields [34.82692226532414]
Graphene nanoribbons (GNRs) have unique topological properties induced and controlled by an externally applied electric field.
We show different topological phases can be achieved by controlling the direction of the field and the chemical potential of the system in square-root GNRs.
arXiv Detail & Related papers (2024-06-20T03:58:24Z) - Bound polariton states in the Dicke-Ising model [41.94295877935867]
We present a study of hybrid light-matter excitations in cavity QED materials.<n>We derive the exact excitations of the system in the thermodynamic limit.
arXiv Detail & Related papers (2024-06-17T18:00:01Z) - Berry-dipole Semimetals [6.351848112862218]
We introduce ''Berry-dipole semimetals'', whose band degeneracies are characterized by quantized Berry dipoles.
On the boundary, we find that the first-order Berry-dipole semimetal harbors anomalous paired Fermi arcs with the same spin polarization.
In the bulk, we find that the low-energy Berry-dipole Hamiltonian near the band node has a quadratic energy dispersion and peculiar Berry curvature.
arXiv Detail & Related papers (2024-04-15T18:00:12Z) - Influence of retardation and dispersive surfaces on the regimes of the
lateral Casimir-Polder force [0.0]
We investigate the Casimir-Polder interaction between a neutral anisotropic polarizable particle and a corrugated surface made of a realistic material.
We show that the consideration of a dispersive surface, when compared to the mentioned idealized materials, can amplify the occurrence of the valley and intermediate regimes.
arXiv Detail & Related papers (2024-02-10T19:19:36Z) - Absence of backscattering in Fermi-arc-mediated conductivity of
topological Dirac semimetal Cd$_{3}$As$_{2}$ [0.0]
cadmium arsenide has reemerged as a topological material, realizing ideal three-dimensional Dirac points at the Fermi level.
These Dirac points lead to a number of extraordinary transport phenomena, including strong quantum oscillations, large magnetoresistance, ultrahigh mobilities, and Fermi velocities exceeding graphene.
Here we present the computed Fermi arc surface states of a cadmium arsenide thin film, based on a tight-binding model derived directly from the electronic structure.
arXiv Detail & Related papers (2023-12-05T20:10:19Z) - Measurement phase transitions in the no-click limit as quantum phase
transitions of a non-hermitean vacuum [77.34726150561087]
We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians.
We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
arXiv Detail & Related papers (2023-01-18T09:26:02Z) - Entanglement and negativity Hamiltonians for the massless Dirac field on
the half line [0.0]
We study the ground-state entanglement Hamiltonian of several disjoint intervals for the massless Dirac fermion on the half-line.
We find that the negativity Hamiltonian inherits the structure of the corresponding entanglement Hamiltonian.
arXiv Detail & Related papers (2022-10-21T17:09:31Z) - Topological characteristics of gap closing points in nonlinear Weyl
semimetals [0.0]
nonlinearity causes each of these Weyl nodes to break down into nodal lines and nodal surfaces at two different energies.
Additional nodal lines may further emerge at high nonlinearity strength.
An Aharonov-Bohm interference experiment is particularly fruitful to capture additional nodal lines that emerge at high nonlinearity.
arXiv Detail & Related papers (2022-05-23T01:37:42Z) - Tunable interface states between Floquet-Weyl semimetals [0.0]
We study the occurrence of interface states between two regions of a nodal line semimetal shined by two beams of light with opposite circular polarizations.
We find remarkable modifications of the energy structure by tuning the polarized light.
arXiv Detail & Related papers (2022-05-11T10:24:13Z) - Secondary kinetic peak in the Kohn-Sham potential and its connection to
the response step [0.4194295877935867]
We consider a prototypical 1D model Hamiltonian for a stretched heteronuclear molecule and construct individual components of the corresponding KS potential.
These components show very special features, such as peaks and steps, in regions where the density is drastically low.
arXiv Detail & Related papers (2022-04-06T03:05:30Z) - Accessing the topological Mott insulator in cold atom quantum simulators
with realistic Rydberg dressing [58.720142291102135]
We investigate a realistic scenario for the quantum simulation of such systems using cold Rydberg-dressed atoms in optical lattices.
We perform a detailed analysis of the phase diagram at half- and incommensurate fillings, in the mean-field approximation.
We furthermore study the stability of the phases with respect to temperature within the mean-field approximation.
arXiv Detail & Related papers (2022-03-28T14:55:28Z) - Thermoelectric properties of topological chains coupled to a quantum dot [40.19796930944118]
Topological one-dimensional superconductors can sustain in their extremities zero energy modes that are protected by different kinds of symmetries.
We consider the simplest kind of topological insulators, namely chains of atoms with hybridized $sp$ orbitals.
We show that the electrical conductance and the Wiedemann-Franz ratio of the device at the topological transition have universal values at very low temperatures.
arXiv Detail & Related papers (2021-12-20T22:52:00Z) - Topological transitions with continuously monitored free fermions [68.8204255655161]
We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits.
We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
arXiv Detail & Related papers (2021-12-17T22:01:54Z) - 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) - Fermi arcs of topological surface states in multi-Weyl Semimetals [0.0]
The Fermi arcs of topological surface states in Weyl semimetals with single- and double-pair Weyl points are investigated.
The boundary condition for the double parallel flat boundary of Weyl semimetal is deduced with a Lagrangian formalism.
arXiv Detail & Related papers (2021-07-23T06:35:40Z) - Spectrum of localized states in fermionic chains with defect and
adiabatic charge pumping [68.8204255655161]
We study the localized states of a generic quadratic fermionic chain with finite-range couplings.
We analyze the robustness of the connection between bands against perturbations of the Hamiltonian.
arXiv Detail & Related papers (2021-07-20T18:44:06Z) - Dynamical signatures of point-gap Weyl semimetal [0.0]
We consider a model where a pair of Weyl points reside on the imaginary axis of the complex energy plane, opening up a point gap characterized by a topological invariant.
We predict a time-dependent current flow along the magnetic field in the absence of an electric field, in sharp contrast to the current driven by the chiral anomaly.
Second, we reveal a novel type of boundary-skin mode in the wire geometry which becomes localized at two corners of the wire cross section.
arXiv Detail & Related papers (2021-07-05T16:54:07Z) - Enhanced decoherence for a neutral particle sliding on a metallic
surface in vacuum [68.8204255655161]
We show that non-contact friction enhances the decoherence of the moving atom.
We suggest that measuring decoherence times through velocity dependence of coherences could indirectly demonstrate the existence of quantum friction.
arXiv Detail & Related papers (2020-11-06T17:34:35Z) - Majorana bound states in topological insulators with hidden Dirac points [25.488181126364186]
We show that well-defined Majorana bound states can be obtained even in materials with hidden Dirac point.
The obtained topological phase diagram allows one to extract precisely the position of the Dirac point in the spectrum.
arXiv Detail & Related papers (2020-04-22T15:04:39Z) - Dynamical solitons and boson fractionalization in cold-atom topological
insulators [110.83289076967895]
We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities.
We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors.
Using a pumping argument, we show that it survives also for finite interactions.
arXiv Detail & Related papers (2020-03-24T17:31:34Z) - Bulk detection of time-dependent topological transitions in quenched
chiral models [48.7576911714538]
We show that the winding number of the Hamiltonian eigenstates can be read-out by measuring the mean chiral displacement of a single-particle wavefunction.
This implies that the mean chiral displacement can detect the winding number even when the underlying Hamiltonian is quenched between different topological phases.
arXiv Detail & Related papers (2020-01-16T17:44:52Z) - Probing chiral edge dynamics and bulk topology of a synthetic Hall
system [52.77024349608834]
Quantum Hall systems are characterized by the quantization of the Hall conductance -- a bulk property rooted in the topological structure of the underlying quantum states.
Here, we realize a quantum Hall system using ultracold dysprosium atoms, in a two-dimensional geometry formed by one spatial dimension.
We demonstrate that the large number of magnetic sublevels leads to distinct bulk and edge behaviors.
arXiv Detail & Related papers (2020-01-06T16:59:08Z)
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.