**Time/Venue** Monday, February 13 at 2 pm Pacific time in Physics North 375 and via Zoom:

https://berkeley.zoom.us/j/99523499113pwd=REovb3pyam03WXQwbEhrU3dqNHZvdz09

Meeting ID: 995 2349 9113 Passcode: 600704**Host **Joel Moore**Title **tba**Abstract:** tba

## FYI: CM Experimental Colloquium Seminar speaker Benjamin Fregoso (Kent State) on Monday, February 13 at 2 pm in Physics North 375

## 290S/290K Quantum Materials speaker: 2nd Seminar with Ewelina Hankiewicz (Würzburg University), Wednesday, February 8 at 2 pm in Physics South 402

**Time/Venue** Wednesday, February 8 at 2 pm in Physics South 402 and via Zoom:

https://berkeley.zoom.us/j/99523499113pwd=REovb3pyam03WXQwbEhrU3dqNHZvdz09

Meeting ID: 995 2349 9113 Passcode: 600704**Host **Joel Moore**Title **tba**Abstract:** tba

## Special 290S/290K Quantum Materials Seminar speaker 290S/290K Quantum Materials Seminar speaker Zheng-Cheng Gu (Chinese University of Hong Kong) Friday, February 3 at 2:00 pm in (venue tbd)

**Time/Venue** Friday, February 3 at 2:00 pm in (venue tbd) and via Zoom:

https://berkeley.zoom.us/j/99523499113pwd=REovb3pyam03WXQwbEhrU3dqNHZvdz09

Meeting ID: 995 2349 9113 Passcode: 600704**Host **Dung-Hai Lee**Title** Classification and construction of crystalline topological

superconductors and insulators in interacting fermion systems.**Abstract** The construction and classication of crystalline symmetry

protected topological (SPT) phases in interacting bosonic and

fermionic systems have been intensively studied in the past few years.

Crystalline SPT phases are not only of conceptual importance, but also provide us

great opportunities towards experimental realization since space group symmetries naturally exist for any realistic material. In this talk, I will discuss how to construct and classify crystalline topological

superconductors (TSC) and topological insulators (TI) in interacting

fermion systems. I will also discuss the relationship between internal symmetry protected SPT phases and crystalline symmetry protected SPT Phases.

## 290S/290K Quantum Materials Seminar speaker Junyeong Ahn (Harvard), Wednesday, January 18, 2023 at 2 pm in Physics South 402

**Time/Venue** Wednesday, January 18 at 2:00 pm Pacific Time in Physics South 402 and via Zoom:

https://berkeley.zoom.us/j/99523499113pwd=REovb3pyam03WXQwbEhrU3dqNHZvdz09

Meeting ID: 995 2349 9113 Passcode: 600704**Host **Joel Moore**Title** Quantum geometry: Quantum route to optical properties of materials**Abstract** The discoveries of a larger number of quantum materials in recent years raise the question of how to employ them in scientific research and technological applications. Designing quantum material properties on demand is a big challenge. Toward this goal, a crucial preliminary step is to identify which key characteristic property of the quantum wave functions relates to the target physical response property. One exciting direction emerging in the field of topological materials is to use the geometry of quantum wave functions – the so-called quantum geometry. This approach has been successful in characterizing various novel electric properties of materials. In this seminar, I will first explain why quantum geometry is a natural concept for characterizing the quantum-ness of response properties. I will then explain a major issue of applying the idea of quantum geometry to resonant optical responses of materials and talk about our resolution to the issue by focusing on electric-dipole transitions. Finally, I will talk about intriguing optical electromagnetic multipole responses beyond electric-dipole transitions due to quantum geometry.

## 290S/290K Quantum Materials Special. Seminar speaker Ewelina Hankiewicz (Würzburg University), Tuesday, January 17 at 2 pm in Physics South 402

**Time/Venue** Tuesday, January 17 at 2:00 pm Pacific Time in Physics South 402 and via Zoom:

https://berkeley.zoom.us/j/99523499113pwd=REovb3pyam03WXQwbEhrU3dqNHZvdz09

Meeting ID: 995 2349 9113 Passcode: 600704**Host **Joel Moore**Title** Quantum anomalies in topological materials and spin chains**Abstract** Recent theoretical and experimental advances allow for an observation of signatures of quantum anomalies in non-interacting condensed matter systems. Quantum anomalies violates one of the classical symmetries and bridge between condensed matter and high- energy physics.

The possibility of observation of signatures of the parity anomaly (failure of the existence of single Dirac fermion in two spatial dimensions characterized by broken parity symmetry) in Dirac-like materials [1,2] is especially interesting. Using effective field theories and analyzing band structures in external out-of-plane magnetic fields (orbital field), we show that topological properties of quantum anomalous Hall (QAH) insulators are related to the parity anomaly [2]. Moreover, we showed together with experimentalists a novel transition from -1 to 1 Hall plateau, caused by scattering processes between counter-propagating quantum Hall and QAH edge states related to the parity anomaly [3]. This model can be extended easily to **any three-dimensional topological insulators (TIs) or magnetic 3D TIs with odd numbers of surface states propagating in transport. **

Further, we turn our attention to the conformal anomaly in one-dimensional spin systems. The conformal anomaly signals itself in a breaking of scale invariance by quantum effects, visible in multi-point functions of the energy-momentum tensor. We relate the variance of the on-site static magnetization that could be observed in neutron scattering experiments to the conformal anomaly in these systems. This paves a path to observe quantum anomalies in strongly interacting spin systems [4].

[1] F. D. M. Haldane, *Phys. Rev. Lett.*** 61**, 2015 (1988).[2] J. Böttcher, C. Tutschku, L. W. Molenkamp, and E. M. Hankiewicz *Phys. Rev. Lett. ***123,** 226602 (2019); C. Tutschku, F. S. Nogueira, C. Northe, J. van den Brink, and E. M. Hankiewicz *Phys. Rev. B***102**, 205407 (2020); C. Tutschku, J. Böttcher, R. Meyer, and E. M. Hankiewicz *Phys. Rev. Research***2**, 033193 (2020).

[3] S. Shamim, P. Shekhar, W. Beugeling, J. Böttcher, A. Budewitz, J.-Benedikt Mayer, L. Lunczer, E. M. Hankiewicz, H. Buhmann, L. W. Molenkamp,*Nat. Commun. ***13**, Article number: 2682 (2022).

[4] C. Northe, C. Zhang, S. Galeski and E.M. Hankiewicz, arXiv:2210.07972 (2022).

## Special 290S/290K Quantum Materials Seminar speaker Lukas Homeier (LMU Munich) Friday, December 16 at 2 pm in 402 Physics South

**Time/Venue** Friday, December 16 at 2:00 pm in Pacific time in 402 Physics South and via Zoom:

https://berkeley.zoom.us/j/99523499113pwd=REovb3pyam03WXQwbEhrU3dqNHZvdz09

Meeting ID: 995 2349 9113 Passcode: 600704**Host** Dan Borgnia, Moore Group**Title** Realistic scheme for quantum simulation of Z2 lattice gauge theories with dynamical matter in (2+1)D**Abstract** Gauge fields coupled to dynamical matter are a ubiquitous framework in many disciplines of physics, ranging from particle to condensed matter physics, but remain challenging to implement robustly in large-scale quantum simulators. Here we propose a realistic scheme for Rydberg atom array experiments in which a Z2 gauge structure with dynamical charges emerges from only local two-body interactions and one-body terms in two spatial dimensions. The scheme enables the experimental study of a variety of models, including (2+1)D Z2 lattice gauge theories coupled to different types of dynamical matter and quantum dimer models on the honeycomb lattice, for which we derive effective Hamiltonians. We discuss ground-state phase diagrams of the experimentally most relevant effective Z2 lattice gauge theories with dynamical matter featuring various confined and deconfined, quantum spin liquid phases. Further, we present selected probes with immediate experimental relevance, including signatures of disorder-free localization as well as a thermal deconfinement transition of two charges. [arXiv:2205.08541]

## 290S/290K Quantum Materials Seminar speakers postponed: no seminar Wednesday, December 14 at 2:00 pm in Physics South 402

## Special 290S/290K Quantum Materials Seminar speaker Matthew Powell (UC Irvine) Tuesday, December 6 at 3:30 pm in 402 Physics South

**Time/Venue** Tuesday, December 6 at 3:30 pm in Pacific time in 402 Physics South and via Zoom:

https://berkeley.zoom.us/j/99523499113pwd=REovb3pyam03WXQwbEhrU3dqNHZvdz09

Meeting ID: 995 2349 9113 Passcode: 600704**Host **Joel Moore**Title** Continuity of the Lyapunov exponent for analytic multi-frequency quasi-periodic cocycles**Abstract** The purpose of this talk is to discuss our recent work on multi-frequency quasi-periodic cocycles, establishing continuity (both in cocycle and jointly in cocycle and frequency) of the Lyapunov exponent for non-identically singular cocycles. Analogous results for one-frequency cocycles have been known for over a decade, but the multi-frequency results have been limited to either Diophantine frequencies (continuity in cocycle) or $SL(2,\C)$ cocycles (joint continuity). We will discuss the history of this problem and the main points of our argument, which extends earlier work of Bourgain.

## Special 290S/290K Quantum Materials Seminar speaker Thomas Scaffidi (UC Irvine) Tuesday, December 6 at 2 pm in 402 Physics South

**Time/Venue** Tuesday, December 6 at 2:00 pm Pacific Time in Physics South 402 and via Zoom:

https://berkeley.zoom.us/j/99523499113pwd=REovb3pyam03WXQwbEhrU3dqNHZvdz09

Meeting ID: 995 2349 9113 Passcode: 600704**Host** Ehud Altman**Title **Spread and erase — How electron hydrodynamics can eliminate the

Landauer-Sharvin resistance**Abstract** What is the ultimate limit of conductance of a metallic device of

lateral size W? In the ballistic limit, the answer is the

Landauer-Sharvin conductance, which is associated with an abrupt

reduction of the number of conducting channels when going from the

contacts to the device. However, the ballistic limit is not always the

best-case scenario, since adding strong electron-electron scattering can

take electrons to a viscous regime of transport for which

“super-ballistic” flows were recently studied. In this talk, we will

show that by a proper choice of geometry which resembles a “wormhole”,

it is possible to spread the Landauer-Sharvin resistance throughout the

bulk of the system, allowing its complete elimination by electron

hydrodynamics. This effect arises due to the interplay between geometry

and strong electron-electron scattering, which allows for a net transfer

of carriers from reflected to transmitted channels. Finally, we will

discuss a recent experiment in a Corbino geometry which realizes one

half of this “wormhole” geometry

Refs:

Theory: Phys. Rev. Lett. 129, 157701 (2022)

Experiment: Nature 609, 276–281 (2022)

## 290S/290K Quantum Materials Seminar speaker Ashley Cook (Max Planck Institute for the Physics of Complex Systems) Wednesday, November 16 at 2 pm in Physics South 402

**Time/Venue** **Wednesday, November 16 at 2 pm in **Pacific time in Physics South 402 and via Zoom:

https://berkeley.zoom.us/j/99523499113pwd=REovb3pyam03WXQwbEhrU3dqNHZvdz09

Meeting ID: 995 2349 9113 Passcode: 600704**Host **Joel Moore **Title **Topological skyrmion phases of matter

Title: Topological skyrmion phases of matter

Abstract: Symmetry-protected topological phases of matter have long been classified based on mappings from the full Brillouin zone to the space of projectors onto occupied states. This is the basis of the ten fold way classification scheme. Here, we show effectively non-interacting topological phases are associated with mappings from the Brillouin zone to the space of other observables. We specifically consider topological phases of the spin degree of freedom of the ground state, protected by a generalized particle-hole symmetry, which are independent of the topological phases of the full set of degrees of freedom of the ground state. We show these phases realize distinctive momentum-space skyrmionic spin textures, and exhibit exotic bulk-boundary correspondence, which we characterize in detail by introducing the symmetry-enriched partial trace and symmetry-enriched slab entanglement spectrum. Non-trivial spin skyrmion number corresponds to additional spin-momentum-locking at the edge in slab geometries, and topologically-protected gapless boundary modes even when the projector topological invariant is trivial. We present recipes for constructing myriad toy models of these phases, and also explore consequences of this physics in transition metal oxide superconductors as the generalized particle-hole symmetry occurs in centrosymmetric superconductors. When spin is not conserved due to non-negligible atomic spin-orbit coupling, we find two kinds of topological phase transitions are possible. The second kind occurs without the closing of the minimum direct bulk energy gap while respecting the symmetry protecting the topological phase, due to the minimum spin magnitude going to zero somewhere in the Brillouin zone. This type-II topological phase transition serves as the first-known contradiction of the flat-band limit assumption, widely-used since the early 1980’s.