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Tensor networks are an efficient platform to represent interesting quantum states of matter as well as to compute physical observables and information-theoretic quantities. We present a general protocol to construct fixed-point tensor…

Strongly Correlated Electrons · Physics 2025-08-01 Bader Aldossari , Sergey Blinov , Zhu-Xi Luo

Moir\'e superlattices in twistronic heterostructures are a powerful tool for materials engineering. In marginally twisted (small misalignment angle, $\theta$) bilayers of nearly lattice-matched two-dimensional (2D) crystals moir\'e patterns…

Mesoscale and Nanoscale Physics · Physics 2022-10-25 V. V. Enaldiev , F. Ferreira , J. G. McHugh , V. I. Fal'ko

Cluster expansions for the exponential of local operators are constructed using tensor networks. In contrast to other approaches, the cluster expansion does not break any spatial or internal symmetries and exhibits a very favourable…

Quantum Physics · Physics 2021-03-03 Bram Vanhecke , Laurens Vanderstraeten , Frank Verstraete

In order to discuss the exciton fine-structure of transition-metal dichalcogenides mono-layers, excitons are first defined in the subspace of electron- and hole states, including the lowest conduction band (LCB) and the uppermost valence…

Mesoscale and Nanoscale Physics · Physics 2019-06-25 Pierre Gilliot , Mathieu Gallart , Bernd Hönerlage

We discuss here the effect of band nesting and topology on the spectrum of excitons in a single layer of MoS$_2$, a prototype transition metal dichalcogenide material. We solve for the single particle states using the ab initio based…

Materials Science · Physics 2020-03-25 Maciej Bieniek , Ludmiła Szulakowska , Paweł Hawrylak

Bilayer electron-hole systems, where carriers in one layer are electrons and carriers in the other are holes, have been actively investigated in recent years with the focus on Bose-Einstein condensation of excitons. This condensation is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yogesh N. Joglekar , Alexander V. Balatsky , S. Das Sarma

We present a symmetry-based framework for the analysis of excitonic states, incorporating both time-reversal and space-group symmetries. We demonstrate the use of time-reversal and space-group symmetries to obtain exciton eigenstates at…

Materials Science · Physics 2025-12-12 Robin Bajaj , Namana Venkatareddy , H. R. Krishnamurthy , Manish Jain

We introduce density imbalanced electron-hole bilayers at a commensurate 2 : 1 density ratio as a platform for realizing novel phases involving electrons, excitons and trions. Three length scales are identified which characterize the…

Strongly Correlated Electrons · Physics 2024-05-28 David D. Dai , Liang Fu

Multimodal device operations are essential to advancing the integration of 2D semiconductors in electronics, photonics, information and quantum technology. Precise control over carrier dynamics, particularly exciton generation and…

The combination of repulsive and attractive Coulomb interactions in a quantum electron(e)-hole(h) fluid can give rise to novel correlated phases of multiparticle charge complexes such as excitons, trions and biexcitons. Here we report the…

Moir\'e superlattices formed in van der Waals bilayers have enabled the creation and manipulation of new quantum states, as is exemplified by the discovery of superconducting and correlated insulating states in twisted bilayer graphene near…

We present a theory of optical absorption by interlayer excitons in a heterobilayer formed from transition metal dichalcogenides. The theory accounts for the presence of small relative rotations that produce a momentum shift between…

Mesoscale and Nanoscale Physics · Physics 2018-01-24 Fengcheng Wu , Timothy Lovorn , A. H. MacDonald

Exotic collective phenomena emerge when bosons strongly interact within a lattice. However, creating a robust and tunable solid-state platform to explore such phenomena has been elusive. Dual moir\'e systems$-$compromising two…

Mesoscale and Nanoscale Physics · Physics 2025-09-17 Amine Ben Mhenni , Elif Çetiner , Kenji Watanabe , Takashi Taniguchi , Jonathan J. Finley , Nathan P. Wilson

Bilayer electron-hole systems, where the electrons and holes are created via doping and confined to separate layers, undergo excitonic condensation when the distance between the layers is smaller than typical distance between particles…

Strongly Correlated Electrons · Physics 2009-11-10 Alexander V. Balatsky , Yogesh N. Joglekar , Peter B. Littlewood

We study the texture of the exciton condensate at low temperatures in an independently gated electron-hole bilayer system. A model Hamiltonian is solved in real space within a mean-field approximation. It is found that, with increased…

Strongly Correlated Electrons · Physics 2015-05-14 Jian-Xin Zhu , A. R. Bishop

Symmetric electron-hole bilayer systems have been studied at zero temperature using the diffusion quantum Monte Carlo method. A flexible trial wave function is used that can describe fluid, excitonic and biexcitonic phases. We calculate…

Strongly Correlated Electrons · Physics 2013-09-10 Ryo Maezono , Pablo López Ríos , Tetsuo Ogawa , Richard J. Needs

Transition-metal dichalcogenide heterostructures exhibit moir\'e patterns that spatially modulate the electronic structure across the material's plane. For certain material pairs, this modulation acts as a potential landscape with deep,…

Mesoscale and Nanoscale Physics · Physics 2021-03-12 David A. Ruiz-Tijerina , Isaac Soltero , Francisco Mireles

We solve the Schr\"{o}dinger equation for two electrons plus one hole by writing it in the electron-exciton basis. The main advantage of this basis is to eliminate the exciton contribution from the trion energy in a natural way. The…

Strongly Correlated Electrons · Physics 2015-03-20 Shiue-Yuan Shiau , Monique Combescot , Yia-Chung Chang

We present an ab initio study of electronically excited states of three-dimensional solids using Gaussian-based periodic equation-of-motion coupled-cluster theory with single and double excitations (EOM-CCSD). The explicit use of…

Materials Science · Physics 2020-01-31 Xiao Wang , Timothy C. Berkelbach

Controlling excitons and their transport in two-dimensional (2D) transition metal dichalcogenides (TMDs) heterostructures is central to advancing photonics and electronics on-chip integration. We investigate the controlled generation and…