# Pair Formation of Hard Core Bosons in Flat Band Systems

@article{Mielke2017PairFO, title={Pair Formation of Hard Core Bosons in Flat Band Systems}, author={Andreas Mielke}, journal={Journal of Statistical Physics}, year={2017}, volume={171}, pages={679-695} }

Hard core bosons in a large class of one or two dimensional flat band systems have an upper critical density, below which the ground states can be described completely. At the critical density, the ground states are Wigner crystals. If one adds a particle to the system at the critical density, the ground state and the low lying multi particle states of the system can be described as a Wigner crystal with an additional pair of particles. The energy band for the pair is separated from the rest of…

## 8 Citations

### Localised Pair Formation in Bosonic Flat-Band Hubbard Models

- PhysicsJournal of Statistical Physics
- 2021

Flat-band systems are ideal model systems to study strong correlations. In a large class of one or two dimensional bosonic systems with a lowest flat-band it has been shown that at a critical density…

### Universal d=1 flat band generator from compact localized states

- PhysicsPhysical Review B
- 2019

The band structure of some translationally invariant lattice Hamiltonians contains strictly dispersionless flatbands(FB). These are induced by destructive interference, and typically host compact…

### Dimers, trimers, tetramers, and other multimers in a multiband Bose-Hubbard model

- PhysicsPhysical Review A
- 2022

We study the bound states of N identical bosons that are described by a multiband Bose-Hubbard model with generic hoppings and an attractive onsite interaction. Using a variational approach, we ﬁrst…

### Rhombi-chain Bose-Hubbard model: Geometric frustration and interactions

- PhysicsPhysical Review B
- 2018

We explore the effects of geometric frustration within a one-dimensional Bose-Hubbard model using a chain of rhombi subject to a magnetic flux. The competition of tunnelling, self-interaction and…

### Spectral Properties of Two Coupled Fibonacci Chains

- Physics
- 2022

(Dated: The Fibonacci chain, i.e., a tight-binding model where couplings and/or on-site potentials can take only two diﬀerent values distributed according to the Fibonacci word, is a classical…

### Flat-band generator in two dimensions

- Physics
- 2021

Wulayimu Maimaiti, 2, 3 Alexei Andreanov, 2 and Sergej Flach 2 Center for Theoretical Physics of Complex Systems, Institute for Basic Science(IBS), Daejeon 34126, Korea Basic Science Program(IBS…

### Mott-insulator-like Bose-Einstein condensation in a tight-binding system of interacting bosons with a flat band

- Physics, EducationPhysical Review Research
- 2021

Hosho Katsura, 2, 3 Naoki Kawashima, Satoshi Morita, Akinori Tanaka, and Hal Tasaki Department of Physics, Graduate School of Science, The University of Tokyo, 7-3-1 Hongo, Tokyo 113-0033, Japan…

### A Complete Bibliography of the Journal of Statistical Physics: 2000{2009

- Physics
- 2016

(2 + 1) [XTpXpH12, CTH11]. + [Zuc11b]. 0 [Fed17]. 1 [BELP15, CAS11, Cor16, Fed17, GDL10, GBL16, Hau16, JV19, KT12, KM19c, Li19, MN14b, Nak17, Pal11, Pan14, RT14, RBS16b, RY12, SS18c, Sug10, dOP18]. 1…

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