# TLS Interaction between TLSs in glasses - P


## 1975 [Joffrin - Lovelut](https://hal.archives-ouvertes.fr/jpa-00208320/document)

.... we demonstrate the importance of the indirect interaction via the phonon field between pairs of defects in an amorphous material.

In fact, as we show below, the indirect interaction is **easily represented by an exchange constant between pairs of spins**; we shall first calculate the order of magnitude of this interaction.

- [ In the appendix, we also make corrections to the many-body interaction of low-temperature amorphous solids derived by Joffrin and Levelut (1975 J. Physique 36 811).](https://knowen-production.s3.amazonaws.com/uploads/attachment/file/5467/zhou%2Bwithout%2Bajl.pdf) Zhou-Leggett 2016

## 1987 [Spectral diffusion, phonon echoes, and saturation recovery in glasses at low temperatures](https://knowen-production.s3.amazonaws.com/uploads/attachment/file/5535/black-halperin.pdf) J. L. Black and B.I. Halperin

> Thus one of the key issues in the tunneling model is understanding the relationship between the strongly coupled excitations, which determine the ultrasonic properties, and the totality of excitations contributing to the specific heat

> As is shown in Sec. II, **the value of P is too small to be consistent with the specific-heat density of states $n_0$ which is observed** '"" on a longtime scale (5 sec)

> Having introduced anomalous levels to help explain specific-heat results, we will focus our attention on the standard levels throughout the remainder of this paper


## 1975 [Efros-Shklovskii - Coulomb gap](http://chair.itp.ac.ru/biblio/papers/ClassicPapersSeminar/EfrosShklovskii1975.pdf)

## 1989 [Interactions of two-level systems in glasses](https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.1084.7800&rep=rep1&type=pdf) Kassner and Silbey

> Using methods from polaron theory, we re-derive the elastic interaction between
> two-level systems (TLS) in glasses in a non-perturbative manner. We then calculate the relaxation rate of the interacting dressed ns perturbatively

... **the dynamics of TLS in glasses are still not well understood**. At the very least, it has to be explained (i) **why weak-coupling theories have been so successful**, (ii) which parameters must be changed in which direction in order to account for strong coupling, and (iii) **why this is uncritical**.
....erroneous or unrealistic assumptions in these theories must be found


## Burin

- 2021 [Anomalous low-energy properties in amorphous solids and the interplay of electric and elastic interactions of tunneling two-level systems]()
Alexander Churkin,1, 2 Shlomi Matityahu,2, 3, 4 Andrii O. Maksymov,5 Alexander L. Burin,5 and Moshe Schechter6

## 2007 [Interaction of two level systems in amorphous materials with arbitrary phonon fields](https://arxiv.org/abs/cond-mat/0610469)
D. V. Anghel, T. Kühn, Y. M. Galperin, M. Manninen

## other systems

https://inis.iaea.org/collection/NCLCollectionStore/_Public/11/495/11495744.pdf



# Parents

* QSNS universality - Leggett et al

# Attachments

* [](https://knowen-production.s3.amazonaws.com/uploads/attachment/file/5535/black-halperin.pdf)