Talks

In this talk, I will discuss new progress in understanding electronic loop current states in correlated electron systems. A brief review of this type states will be given for cuprates and Kagome lattice superconductors. We will develop correlated electron models where the loop current states are ground states and discuss the physics behind it.

In this talk, I will discuss the charge correlations in two different classes of kagome metals, each with electron fillings near saddle points in their band structures. In the first compound, CsV3Sb5, a dominant breathing mode of the kagome network drives the formation of a metastable charge density state. Charge correlations in this state undergo an unusual evolution upon tuning the carrier filling, suggesting the presence of a nearby nematic instability. In the second compound, ScV6Sn6, charge order is driven by an out-of-plane instability of the Sc-Sn chains that thread through the kagome planes. This drives a form of frustrated charge order likely responsible for the pseudogap and anomalous electronic properties reported in this material. The differing routes to charge order across multiple families of kagome metals will be discussed.

Recently, a new interpretation of gravitational spacetime in terms of quantum entanglement has been developed. The idea of holography in string theory provides a simple geometric computation of entanglement entropy. This generalizes the well-known Bekenstein-Hawking formula of black hole entropy and strongly suggests that a gravitational spacetime consists of many qubits with quantum entanglement. Also a new progress on black hole information problem has been made recently by applying this idea. A new insight on holography for de Sitter spaces have also been obtained from quantum information viewpoints. I will explain these developments in this lecture.

In low dimensional superconductors, disorder and many body interactions leads to a veritable zoo of intriguing phases and phase transitions. A exemplar of the same is for instance the highly debated anomalous metallic phase which exists circumventing the celebrated Anderson localisation. On the other hand, disorder itself triggers a host of very intriguing and exotic effects such as the Quantum Griffiths Phase (QGP) that stems from the associated Infinite Randomness Fixed Point (IRFP). In this talk we provide incontrovertible proof of emergence of a QGP in the 2D electron gas formed in the LaScO_3 /SrTiO_2 heterostructure. The signatures of the QGP are embedded in the magneto-resistance exhibited by the sample. In particular, we show that in the Griffiths phase (that obtains at higher temperatures), the effective dynamical exponent diverges as a function of the magnetic field. Further, at lower temperatures we argue that the divergence signalling the QGP is cut-off by interplay of diso...

In this talk, I will discuss recent results for charge density wave (CDW) and pair density wave (PDW) instabilities on the kagome lattice near a van Hove singularity. I then discuss the relevance of these results to experimental observations in kagome metals such as CsV_3Sb_5.

The ultranodal superconducting state exhibits very unusual physical properties since it has a strongly enhanced low energy density of states compared to a nodal state. This is due to the existence of a so-called Bogoliubov Fermi surface which is topologically protected and can emerge in a multiband system if a spin singlet pairing gap coexists with a nonunitary interband triplet component. Starting from a microscopic model, I will discuss how such a ultranodal state can be stabilized and examine signatures in the low temperature specific heat, tunneling spectroscopy and spin-relaxation rate pointing towards the existence of Bogoliubov Fermi surfaces. It turns out that FeSe doped with S seems to exhibit a number of these features and might be a strong candidate material to study consequences of Bogoliubov Fermi surfaces.

The phase diagram of extremal black holes in supergravity is surprisingly rich. In some regimes, quantum effects are so strong that they dominate. On the supersymmetric locus, there is a large ground state degeneracy, protected by a gap. Throughout, there is an intricate classical interplay between charge and rotation that gives rise to instability via various mechanisms, including superradiance and superconductivity. The talk highlights examples from black holes in AdS(3) and AdS(5).

Space group symmetries and multipole moments allowed by them can be used to not only classify different phases but also to predict the macroscopic response induced by structural or electronic order parameters. Similarly, magnetic space groups can be utilized to predict macroscopic response induced by magnetic orders. In this talk, we apply similar ideas to possible charge density wave orders in AV3Sb5 Kagome materials with time-reversal symmetry breaking imaginary charge density waves. After showing that charge density wave orders can be represented by magnetic irreducible representations of the space group, we tabulate the different phases induced by them, and predict experimental signatures therein. In particular, we focus on piezomagnetism and spontaneous gyrotropic birefringence and show that these two complimentary tensors can differentiate between most possible phases in Kagome compounds.

Let Sg be a closed surface of genus g ≥ 2. The curve graph corresponding to Sg, denoted by C(Sg), is a 1-dimensional simplicial complex whose vertices are isotopy classes of essential closed curves on Sg and two vertices share an edge if they represent mutually disjoint curves. Little is known about curves which are at a distance n ≥ 4 apart in C(Sg). This is primarily because the local infinitude of the vertices in C(Sg) hinders the calculation of distances in C(Sg).

In this talk, we will look at a family of pairs of curves on Sg which are at a distance 4 apart in C(Sg). These curves are created using Dehn twists. As an application, we will deduce an upper bound on the minimal intersection number of curves at a distance 4 apart in C(Sg). Finally, we will look at an example of a pair of curves on S2 which are at a distance 5 apart in C(S2).