Fitting luttinger based on bosonization theory of sine-Gordan action. Fitting at both bond and density channel . Discuss situation if umklapp or pairing term is relevant in the action.

Notes in ALF conference 2026 at Würzburg , introduction to NQS

Visit to Hong Kong gives inspiration on flat band kondo problem. Here I discribe their ideas and discuss something that we can do.

Notes in introduction to CFT and quantum anomaly

Notes of Summer Condensed matter theory school at SJTU , 2026 , introduction to sign problem in SSE and DQMC .Sign-free cases ,including fermion bag approach , majorana representation approach and split orthogonal group approach for spinless t-V model

Describing stub , cruetz and sawtooth chain .Discussing how to define the superconducting coherence length and calculate superfluidity weight numerically

Flat band systems can also have superconductivity , whose superfluidity weight comes from quantum geometry of the multi-orbital systems. Here is introduction of the theory developed orginally by Päivi Törmä. Physically , interaction in flat band systems unlock the potential and gives effective kinetic energy to Cooper pairs. The potential of Wannier overlaps is now provided by quantum metric.

Professor Steven White talked about the MPS-VMC method at March meeting ,2026. It is a method using MPS states as direct samples. Here I discribe the method.

Renormalization of 1-D interaction fermion models using the sine-Gordon action , showing the CDW and Bond-Order phases. Comparsion to classical 2-D XY model and elctron gases. Discuss the doped sine-Gordon action that cna lead to C-IC and LL-IC transitions