Siddhartha Sarkar

activity

20122023

most citedTopological exact flat bands in two dimensional materials under periodic strain

45 citations · 162 across the 23 of their papers we have counts for

collaborators

23 papers

cond-mat.soft2023

A New Perspective on Thermally Fluctuating 2D Elastic Membranes: Introducing Odd Elastic Moduli and Non-Equilibrium Effects

Mohamed El Hedi Bahri, Siddhartha Sarkar, Daniel Alejandro Matoz-Fernandez +1

Non-equilibrium and active effects in mesoscopic scale systems have heralded a new era of scientific inquiries, whether concerning meta-materials or biological systems such as bact…

cond-mat.stat-mech2023

Statistical mechanics of nanotubes

Siddhartha Sarkar, Mohamed El Hedi Bahri, Andrej Košmrlj

We investigate the effect of thermal fluctuations on the mechanical properties of nanotubes by employing tools from statistical physics. For 2D sheets it was previously shown that…

cond-mat.mtrl-sci2023★ 24 cited

Breakdown of Conventional Winding Number Calculation in One-Dimensional Lattices with Interactions Beyond Nearest Neighbors

Amir Rajabpoor Alisepahi, Siddhartha Sarkar, Kai Sun +1

Topological insulators hold promises to realize exotic quantum phenomena in electronic, photonic, and phononic systems. Conventionally, topological indices, such as winding numbers…

cond-mat.soft2023★ 3 cited

Mirror-symmetry protected higher-order topological zero-frequency boundary and corner modes in Maxwell lattices

Siddhartha Sarkar, Xiaoming Mao, Kai Sun

Maxwell lattices, where the number of degrees of freedom equals the number of constraints, are known to host topologically-protected zero-frequency modes and states of self stress,…

cond-mat.mes-hall2023★ 21 cited

Nearly flat Chern band in periodically strained monolayer and bilayer graphene

Xiaohan Wan, Siddhartha Sarkar, Kai Sun +1

The flat band is a key ingredient for the realization of interesting quantum states for novel functionalities. In this work, we investigate the conditions for the flat band in both…

cs.CG2023

Faster Algorithm for Minimum Ply Covering of Points with Unit Squares

Siddhartha Sarkar

Biedl et al. introduced the minimum ply cover problem in CG 2021 following the seminal work of Erlebach and van Leeuwen in SODA 2008. They showed that determining the minimum ply c…

cond-mat.mes-hall2022★ 45 cited

Topological exact flat bands in two dimensional materials under periodic strain

Xiaohan Wan, Siddhartha Sarkar, Shi-Zeng Lin +1

We study flat bands and their topology in 2D materials with quadratic band crossing points (QBCPs) under periodic strain. In contrast to Dirac points in graphene, where strain acts…

cond-mat.mtrl-sci2022★ 16 cited

Dynamics of self-dual kagome metamaterials and the emergence of fragile topology

Pegah Azizi, Siddhartha Sarkar, Kai Sun +1

Recent years have seen the discovery of systems featuring fragile topological states. These states of matter lack certain protection attributes typically associated with topology a…

cond-mat.stat-mech2022★ 2 cited

Mechanical Properties Of Fluctuating Elastic Membranes Under Uni-Axial Tension

Mohamed El Hedi Bahri, Siddhartha Sarkar, Andrej Košmrlj

Atomically thin sheets, such as graphene, are widely used in nanotechnology. Recently they have also been used in applications including kirigami and self-folding origami, where it…

cond-mat.soft2022★ 21 cited

Synthetically Non-Hermitian Nonlinear Wave-like Behavior in a Topological Mechanical Metamaterial

Haning Xiu, Ian Frankel, Harry Liu +6

Topological mechanical metamaterials have enabled new ways to control stress and deformation propagation. Exemplified by Maxwell lattices, they have been studied extensively using…

math.GR2022

On the Schur Multiplier of finite $p$ -groups of maximal class

Renu Joshi, Siddhartha Sarkar

In this article, we prove that the Schur Multiplier of a finite $p$ -group of maximal class of order $p^{n} (4 \leq n \leq p + 1)$ is elementary abelian. The case $n = p + 1$ settles a q…

math.GR2022

Uni-width subgroups, universal elements, and lambda number of finite groups

Siddhartha Sarkar

A cyclic subgroup $N$ of a finite group $G$ is called a uni-width subgroup of $G$ if $N$ is the unique cyclic subgroup of $G$ of order $∣ N ∣$ . In this article, we prove that a finit…

math.GR2021

Lambda Numbers of Finite $p$ -Groups

Mayank Mishra, Siddhartha Sarkar

An $L (2, 1)$ -labelling of a finite graph $Γ$ is a function that assigns integer values to the vertices $V (Γ)$ of $Γ$ (colouring of $V (Γ)$ by $Z$ ) so that the absolute dif…

cond-mat.soft2020★ 9 cited

Method of image charges for describing linear deformation of bounded 2D solid structures with circular holes and inclusions

Siddhartha Sarkar, Matjaz Cebron, Miha Brojan +1

We present a method for predicting the linear response deformation of finite and semi-infinite 2D solid structures with circular holes and inclusions by employing the analogies wit…

cond-mat.soft2019★ 10 cited

Elastic multipole method for describing linear deformation of infinite 2D solid structures with circular holes and inclusions

Siddhartha Sarkar, Matjaz Cebron, Miha Brojan +1

Elastic materials with holes and inclusions are important in a large variety of contexts ranging from construction material to biological membranes. More recently, they have also b…

gr-qc2019★ 4 cited

Pseudo Newtonian Potential For a Rotating Kerr Black Hole Embedded in Quintessence

Siddhartha Sankar Sarkar, Ritabrata Biswas

Pseudo-Newtonian Potential has always been a useful tool to discuss the motion of a particle in space-time to avoid the tedious and nearly impossible nonlinear computations coming…

math.GR2019

A survey on the Non-inner Automorphism Conjecture

Siddhartha Sarkar, Renu Joshi

In this survey article, we try to summarize the known results towards the long-standing non-inner automorphism conjecture, which states that every finite non-abelian $p$ -group has…

math.GR2018

Finite Symmetries of surfaces of $p$ -groups of co-class 1

Siddhartha Sarkar

The genus spectrum of a finite group $G$ is a set of integers $g \geq 2$ such that $G$ acts on a closed orientable compact surface $Σ_{g}$ of genus $g$ preserving the orientation. In…

math.CO2018

Bound on the diameter of split metacyclic groups

Kashyap Rajeevsarathy, Siddhartha Sarkar

Let $G_{m, n, k} = Z_{m} ⋉_{k} Z_{n}$ be the split metacyclic group, where $k$ is a unit modulo $n$ . We derive an upper bound for the diameter of $G_{m, n, k}$ using…

math.CO2016

Spectral properties of the Cayley Graphs of split metacyclic groups

Kashyap Rajeevsarathy, Siddhartha Sarkar, S. Lakshmivarahan +1

Let $Γ (G, S)$ denote the Cayley graph of a group $G$ with respect to a set $S \subset G$ . In this paper, we analyze the spectral properties of the Cayley graphs $\mathcal{T}_{m,n,k}…

math.GR2016★ 4 cited

A structured description of the genus spectrum of abelian $p$ -groups

Jürgen Müller, Siddhartha Sarkar

The genus spectrum of a finite group $G$ is the set of all $g$ such that $G$ acts faithfully on a compact Riemann surface of genus $g$ . It is an open problem to find a general desc…

math.GR2013★ 1 cited

On Finite Groups of Symmetries of Surfaces

Jürgen Müller, Siddhartha Sarkar

The genus spectrum of a finite group $G$ is the set of all $g \geq 2$ such that $G$ acts faithfully and orientation-preserving on a closed compact orientable surface of genus $g$ . T…

math.GR2012★ 2 cited

On p-groups of Gorenstein-Kulkarni type

Jürgen Müller, Siddhartha Sarkar

A finite p-group is said to be of Gorenstein-Kulkarni type if the set of all elements of non-maximal order is a maximal subgroup. 2-groups of Gorenstein-Kulkarni type arise natural…

A New Perspective on Thermally Fluctuating 2D Elastic Membranes: Introducing Odd Elastic Moduli and Non-Equilibrium Effects

Statistical mechanics of nanotubes

Breakdown of Conventional Winding Number Calculation in One-Dimensional Lattices with Interactions Beyond Nearest Neighbors

Mirror-symmetry protected higher-order topological zero-frequency boundary and corner modes in Maxwell lattices

Nearly flat Chern band in periodically strained monolayer and bilayer graphene

Faster Algorithm for Minimum Ply Covering of Points with Unit Squares

Topological exact flat bands in two dimensional materials under periodic strain

Dynamics of self-dual kagome metamaterials and the emergence of fragile topology

Mechanical Properties Of Fluctuating Elastic Membranes Under Uni-Axial Tension

Synthetically Non-Hermitian Nonlinear Wave-like Behavior in a Topological Mechanical Metamaterial

On the Schur Multiplier of finite p-groups of maximal class

Uni-width subgroups, universal elements, and lambda number of finite groups

Lambda Numbers of Finite p-Groups

Method of image charges for describing linear deformation of bounded 2D solid structures with circular holes and inclusions

Elastic multipole method for describing linear deformation of infinite 2D solid structures with circular holes and inclusions

Pseudo Newtonian Potential For a Rotating Kerr Black Hole Embedded in Quintessence

A survey on the Non-inner Automorphism Conjecture

Finite Symmetries of surfaces of p-groups of co-class 1

Bound on the diameter of split metacyclic groups

Spectral properties of the Cayley Graphs of split metacyclic groups

A structured description of the genus spectrum of abelian p-groups

On Finite Groups of Symmetries of Surfaces

On p-groups of Gorenstein-Kulkarni type

On the Schur Multiplier of finite $p$ -groups of maximal class

Lambda Numbers of Finite $p$ -Groups

Finite Symmetries of surfaces of $p$ -groups of co-class 1

A structured description of the genus spectrum of abelian $p$ -groups