Topological Invariants of Interacting Gapped Quantum Materials and ...

We derive Kubo-like formulas for the thermal and thermoelectic Hall conductances of arbitrary 2d lattice systems which are free from ambiguities ...

Full Text · 1) Such a linear combination is called an =-chain, or a chain of degree =. · 2) Here | | · | | denotes operator norm if is operator-valued and ...

Topological Invariants of Interacting Gapped Quantum Materials and ...

[4] Anton Kapustin and Lev Spodyneiko. “Thermal Hall conductance and a relative topological invariant of gapped two-dimensional systems”. In: Phys. Rev. B101.4 ...

Nernst and Ettingshausen effects in gapped quantum materials

We investigate whether there could exist topological invariants of gapped two-dimensional materials related to dissipationless thermoelectric transport at low ...

Topological Invariants of Gapped Quantum Lattice Systems

These invariants unify and generalize the Hall conductance and the Thouless pump. We prove quantization properties of the invariants for low- ...

Topological Invariants of Gapped States and 't Hooft Anomalies

... interactions and employs C*-algebraic techniques. In this talk I ... Harvard CMSA Quantum Matter in Math and Physics•1.5K views · 1:30:55.

Topological invariants of gapped states of quantum spin systems

... topological field theory, and string theory. Currently I am interested in mathematical aspects of condensed matter physics, including ...

Nernst and Ettingshausen effects in gapped quantum materials

We investigate whether there could exist topological invariants of gapped 2D materials related to dissipationless thermoelectric transport at low ...

Classification of topological quantum matter with symmetries - arXiv

We consider both fully gapped and gapless topological materials and ... Theoretical model systems and their topological invariants are ...

Interacting topological quantum chemistry in 2D with many-body real ...

Given atomic orbitals, their symmetries, and the number of electrons, the topological invariants of TQC classify possible gapped, degenerate, ...

Local Noether theorem for quantum lattice systems and topological ...

... Local Noether theorem for quantum lattice systems and topological invariants of gapped states. Journal Article · Fri Sep 30 00:00:00 EDT 2022 · Journal ...

Phys. Rev. B 93, 195164 (2016) - Topological invariants for ...

... gap and the change in topological invariants. However, in the presence of electronic interactions, topological phase transitions can be more ...

Different approaches to topological invariants

Ab-initio band structures calculations. Disordered systems. So, we start with a Hamiltonian of some complicated material, and we want to know if it is ...

Topological Quantum Materials from the Viewpoint of Chemistry

We have seen that two linear bands at the surface of a three-dimensional topological insulator cross the gap between the valence and conduction ...

Dynamical classification of topological quantum phases

First, for a generic d-dimensional (dD) gapped topological phase characterized by integer invariants, we show a bulk-surface duality that its ...

[2404.06048] Quantum computing topological invariants of two ...

... interacting topological quantum matter using quantum computers. Comments: 9 pages, 6 figures. Subjects: Quantum Physics (quant-ph); Mesoscale ...

Many-body topological invariants from randomized measurements ...

In particular, recent theoretical works have shown that MBTIs can identify fermionic SPT phases (24, 26) and topological quantum phase ...

Topological invariants for interacting systems: from twisted boundary ...

... gap, and. topology in quantum many-particle systems on a peri-. odic ... topological nature of interacting multiparticle quantum systems.

Topological quantum materials | MRS Bulletin | Cambridge Core

However, in systems featuring a strong spin–orbit interaction, nontrivial topology with symmetry can also be realized. Examples of such systems ...

Quantum cluster approach to the topological invariants in correlated ...

We detect the topological properties of Chern insulators with strong Coulomb interactions by use of cluster perturbation theory and variational cluster ...